Question 1

In this number pair reasoning question, each option shows a pair in the form a–b: 63–36, 45–74, 48–84 and 26–62. Select the odd pair that does not follow the same pattern as the others.

Accepted Answer

Introduction / Context:This is a classic odd one out question based on digit reversal. You are given four number pairs: 63–36, 45–74, 48–84 and 26–62. In three of these pairs, the second number is obtained by reversing the digits of the first number. One pair does not follow this rule and must be identified as the odd one out. Questions like this test your observation skills and familiarity with place value in two digit numbers. Given Data / Assumptions: Pairs: 63–36, 45–74, 48–84 and 26–62. We focus on the relation between the tens digit and units digit of each number. In a valid pair, the second number should be the digit reversed form of the first number. Exactly one pair does not satisfy this reversal rule. Concept / Approach:A two digit number can be written as 10a + b, where a is the tens digit and b is the units digit. Reversing the digits gives the number 10b + a. For example, reversing 63 gives 36. We will check each pair to see whether b is indeed the reverse of a in this sense. The pair where the second number is not a simple reversal of the first is the odd one out. Step-by-Step Solution:Step 1: Check 63–36.First number = 63, tens digit 6 and units digit 3. Reversing gives 36, which matches the second number. So this pair follows the digit reversal rule.Step 2: Check 48–84.First number = 48, tens digit 4 and units digit 8. Reversing gives 84, which matches the second number. This pair also follows the rule.Step 3: Check 26–62.First number = 26, tens digit 2 and units digit 6. Reversing gives 62, which is exactly the second number. This pair is also correct.Step 4: Check 45–74.First number = 45, tens digit 4 and units digit 5. Reversing gives 54, but the second number is 74, not 54. Therefore this pair does not follow the reversal rule.Step 5: Identify the odd pair.45–74 is the only pair in which the second number is not a digit reversed form of the first number. Verification / Alternative check:A quick mental check is to write each first number and mentally swap its digits. If the resulting number matches the second member of the pair, the pair is consistent. For three pairs this works perfectly, but for 45–74 it fails because reversing 45 gives 54. This is a fast method you can use in actual exams to handle similar digit manipulation problems without any written work. Why Other Options Are Wrong:63–36: The second number is a perfect reversal of the first (63 reversed is 36). 48–84: The second number is again the reverse of the first (48 reversed is 84). 26–62: Follows the same rule (26 reversed is 62), so it is not the odd one out. Common Pitfalls:Some learners may overthink the relationships between the numbers, looking for addition, subtraction or multiplication patterns and overlooking the simple digit reversal. In many reasoning questions that display two digit numbers in pairs, always check for reversal or interchanging of digits before trying more complex operations. This habit saves time and avoids unnecessary confusion. Final Answer:The odd pair is 45–74, because in this pair the second number is not obtained by reversing the digits of the first number, unlike the other three pairs.

Question 2

In this number classification question, select the odd number from the following alternatives: 361, 289, 225 and 216.

Accepted Answer

Introduction / Context:This question tests your knowledge of perfect squares and cubes. The numbers given are 361, 289, 225 and 216. Three of them are perfect squares of integers, while one number is a perfect cube rather than a square. Identifying which number does not belong to the same category helps you answer this odd one out question correctly. Given Data / Assumptions: Numbers given: 361, 289, 225 and 216. We check whether each number is a perfect square, a perfect cube or both. Exactly one number should differ in nature from the others. We assume standard knowledge of squares such as 15^2, 17^2, 19^2 and cubes such as 6^3. Concept / Approach:Perfect squares are numbers that can be written as n^2, while perfect cubes can be written as n^3. To solve this question, we will try to express each number as a square of an integer. If three numbers match well known squares and one does not, that unmatched number is likely a cube. That cube number will be the odd one out because its classification differs from the other three, which are all squares. Step-by-Step Solution:Step 1: Check 361.19^2 = 19 * 19 = 361. So 361 is a perfect square.Step 2: Check 289.17^2 = 17 * 17 = 289. So 289 is also a perfect square.Step 3: Check 225.15^2 = 15 * 15 = 225. So 225 is a perfect square as well.Step 4: Check 216.Calculate 14^2 = 196 and 15^2 = 225, so 216 is not a perfect square between them. However, 6^3 = 6 * 6 * 6 = 216, which means 216 is a perfect cube, not a square.Step 5: Identify the odd number.Since 361, 289 and 225 are perfect squares and 216 is a perfect cube, 216 is the odd one out. Verification / Alternative check:You can also look at the approximate square roots. The square root of 225 is exactly 15, that of 289 is 17 and that of 361 is 19. In each case, you get an integer. The square root of 216 is between 14 and 15 and clearly not an integer. When you try small cubes, you find that 6^3 is exactly 216, confirming its nature as a cube. This difference in classification between square and cube confirms that 216 is the number that does not belong with the others. Why Other Options Are Wrong:361: Equal to 19^2, a perfect square, so it belongs with 289 and 225. 289: Equal to 17^2, again a perfect square consistent with the main pattern. 225: Equal to 15^2, another perfect square, not the odd one out. Common Pitfalls:Some students may miscalculate square values or confuse 216 with 15^2. Remembering that 15^2 = 225 and 14^2 = 196 helps avoid such confusion. It is also useful to memorize a small set of cubes such as 5^3 = 125, 6^3 = 216 and 7^3 = 343. These values frequently appear in aptitude questions and help you quickly identify whether a number is a square, a cube or neither. Final Answer:The odd number is 216, because 361, 289 and 225 are perfect squares, while 216 is a perfect cube.

Question 3

In this alphabet pattern reasoning question, select the odd group of letters from the following alternatives: USQ, OMK, IGE and VUT.

Accepted Answer

Introduction / Context:This question involves recognizing patterns in sequences of letters. The given groups are USQ, OMK, IGE and VUT. In three of these groups, the letters move backward in the alphabet in equal steps of two positions. One group instead moves backward in steps of one position. Identifying the difference in step size is the key to finding the odd group of letters. Given Data / Assumptions: Letter groups: USQ, OMK, IGE and VUT. Alphabet positions: A = 1, B = 2, ..., Z = 26. We focus on whether the letters form a descending sequence and whether the step size is constant. Exactly one group has a different step size pattern from the others. Concept / Approach:We convert each letter to its position in the alphabet and calculate the differences from the first letter to the second, and from the second to the third. If three groups show a descending pattern with a constant step of minus two positions, and one group shows a different set of steps, that one is the odd group out. This pattern based method is standard for alphabet series questions. Step-by-Step Solution:Step 1: Analyze USQ.U = 21, S = 19, Q = 17. Differences are 21 to 19 = -2 and 19 to 17 = -2. So USQ descends by two positions each time.Step 2: Analyze OMK.O = 15, M = 13, K = 11. Differences are 15 to 13 = -2 and 13 to 11 = -2. OMK also descends in steps of two.Step 3: Analyze IGE.I = 9, G = 7, E = 5. Differences are 9 to 7 = -2 and 7 to 5 = -2. IGE again follows the same -2, -2 pattern.Step 4: Analyze VUT.V = 22, U = 21, T = 20. Differences are 22 to 21 = -1 and 21 to 20 = -1. In this group, the letters descend by one position each time, not by two.Step 5: Identify the odd group.USQ, OMK and IGE all show a regular backward jump of two letters, while VUT shows jumps of one letter. Therefore VUT is the odd group out. Verification / Alternative check:You can also verify this visually by writing the alphabet and tracing the jumps. For USQ you jump from U to S to Q skipping one letter each time. For OMK and IGE you follow the same skip of one letter between steps. For VUT, however, you move from V to U to T without skipping any letters, which is a closer spacing. This confirms that VUT does not share the same skip pattern seen in the other three sequences. Why Other Options Are Wrong:USQ: Follows a descending sequence with constant step size -2, so it fits the main pattern. OMK: Also descends by two positions in each step, consistent with USQ and IGE. IGE: Another descending sequence with step -2, matching the majority pattern. Common Pitfalls:Candidates sometimes only check whether the letters are descending or ascending and ignore the exact step size. In this question, all four groups are descending, so you need to go one step further and compare how many positions each step covers. Always examine both direction and step size when you get letter sequences with more than one possible rule. Final Answer:The odd group of letters is VUT, because it descends by one step at a time, while the other three groups descend by two steps at a time in the alphabet.

Question 4

In this number pair reasoning question, each option shows a pair in the form a – b: 10 – 121, 12 – 169, 14 – 225 and 16 – 279. Select the odd pair that does not follow the same rule as the others.

Accepted Answer

Introduction / Context:This question tests your ability to detect a numerical relationship between two numbers in a pair. The pairs given are 10 – 121, 12 – 169, 14 – 225 and 16 – 279. In three of these pairs, the second number is the square of the successor of the first number. One pair does not follow this relationship and must be identified as the odd one out. Given Data / Assumptions: Number pairs: 10 – 121, 12 – 169, 14 – 225, 16 – 279. We consider the relationship between each first number n and the second number. In valid pairs, the second number should equal (n + 1)^2. Exactly one pair does not satisfy this simple square of successor rule. Concept / Approach:The pattern suggested by 10 – 121 is that 121 equals 11^2, which is (10 + 1)^2. We can test this idea on the other pairs. If three pairs fit the rule second = (first + 1)^2 and one pair does not, that mismatching pair is the odd one out. This approach uses only basic knowledge of squares of small integers. Step-by-Step Solution:Step 1: Check 10 – 121.First number n = 10. Successor is n + 1 = 11, and 11^2 = 121. So this pair matches the rule second = (n + 1)^2.Step 2: Check 12 – 169.First number n = 12. Successor is 13, and 13^2 = 169. So this pair also follows the rule.Step 3: Check 14 – 225.First number n = 14. Successor is 15, and 15^2 = 225. Again, the second number equals (n + 1)^2, so this pair is consistent.Step 4: Check 16 – 279.First number n = 16. Successor is 17. Here 17^2 = 289, but the second number given is 279, which is not equal to 289. So this pair does not follow the established pattern.Step 5: Identify the odd pair.The first three pairs satisfy the rule second = (first + 1)^2, while 16 – 279 does not. Therefore 16 – 279 is the odd one out. Verification / Alternative check:Another way to check is to take the square root of the second number and then subtract 1. For the pair 10 – 121, sqrt(121) = 11 and 11 - 1 = 10. For 12 – 169, sqrt(169) = 13 and 13 - 1 = 12. For 14 – 225, sqrt(225) = 15 and 15 - 1 = 14. For 16 – 279, the square root of 279 is not an integer and certainly not equal to 17, so the pattern fails. This confirms independently that the last pair is inconsistent with the rule. Why Other Options Are Wrong:10 – 121: Both numbers satisfy the rule second = (first + 1)^2, so this pair is correct. 12 – 169: Also matches the rule and belongs to the main pattern. 14 – 225: Follows the same relationship, so it cannot be the odd pair. Common Pitfalls:Some candidates may try to relate the second number directly to the square of the first number and get confused when the match does not work. Always remember to check for the square of the successor or predecessor as well, because exam setters often use such small variations to increase difficulty slightly. Once you train yourself to test (n + 1)^2 and (n - 1)^2 in addition to n^2, these odd one out questions become much easier. Final Answer:The odd pair is 16 – 279, because in this pair the second number is not equal to the square of the successor of the first number, unlike the other three pairs.

Question 5

In this number pair reasoning question, each option shows a pair in the form a–b: 73–61, 57–69, 47–59 and 42–29. Select the odd pair that does not follow the same pattern as the others.

Accepted Answer

Introduction / Context:This question tests your ability to spot a simple arithmetic relationship between two numbers in a pair. The given pairs are 73–61, 57–69, 47–59 and 42–29. In three of these pairs, the difference between the two numbers has the same magnitude. One pair has a different difference and is therefore the odd one out. This is a common style of question in basic aptitude tests. Given Data / Assumptions: Number pairs: 73–61, 57–69, 47–59 and 42–29. We are interested in the absolute difference between the two numbers in each pair. In three pairs, this difference is equal to 12. Exactly one pair has a different difference and must be identified. Concept / Approach:We compute b - a or a - b for each pair and focus on the absolute value of the difference. If three differences have the same magnitude, that forms the main pattern. The fourth pair, whose difference magnitude is different, is the odd one out. This approach does not require any advanced mathematics, only basic subtraction. Step-by-Step Solution:Step 1: Calculate the difference for 73–61.73 - 61 = 12. The absolute difference is 12.Step 2: Calculate the difference for 57–69.69 - 57 = 12. Again, the absolute difference is 12.Step 3: Calculate the difference for 47–59.59 - 47 = 12. So this pair also has an absolute difference of 12.Step 4: Calculate the difference for 42–29.42 - 29 = 13. Here the absolute difference is 13, which does not match the other three pairs.Step 5: Identify the odd pair.Since 73–61, 57–69 and 47–59 all have a difference of 12, and 42–29 has a difference of 13, 42–29 is the odd one out. Verification / Alternative check:You can verify this pattern quickly by writing each pair in ascending order and then subtracting the smaller number from the larger one. Doing so gives you 73–61, 69–57, 59–47 and 42–29. The resulting differences are 12, 12, 12 and 13. Seeing three equal differences and one different value makes it obvious which pair does not belong with the others. This method is especially useful in time bound exams where speed matters. Why Other Options Are Wrong:73–61: The difference is exactly 12, so it follows the main pattern. 57–69: The difference is also 12, consistent with the first pair. 47–59: Again yields a difference of 12 and fits the same relationship. Common Pitfalls:Some candidates may try to interpret the numbers as primes or composites and search for more difficult patterns. While 73, 61, 47 and 59 are primes and 57 and 69 are not, the question here is only about the relationship within each pair, not about prime status. Always read the question carefully and look for the simplest numerical link first, such as sum, difference or product, before exploring more complex interpretations. Final Answer:The odd pair is 42–29, because its difference is 13, while the difference for each of the other three pairs is 12.

Question 6

In this letter pair reasoning question, find the odd pair from the following options: AE, CG, JN and MO.

Accepted Answer

Introduction / Context:This question deals with letter pairs and their spacing in the English alphabet. You are given four pairs of letters: AE, CG, JN and MO. In three of these pairs, the second letter is exactly four positions ahead of the first letter in the alphabet. One pair has a different spacing. You must determine which pair does not follow the same pattern and mark it as the odd one out. Given Data / Assumptions: Letter pairs: AE, CG, JN and MO. We use alphabet positions: A = 1, B = 2, ..., Z = 26. In valid pairs, the difference between second and first letter equals 4. Exactly one pair does not satisfy this constant difference rule. Concept / Approach:We convert each letter to its position in the alphabet and compute the difference second position minus first position in each pair. If three pairs yield a difference of 4 and one pair yields a different difference, that pair is the odd one out. This type of pattern recognition is very common in letter analogy and classification questions. Step-by-Step Solution:Step 1: Examine AE.A = 1, E = 5. Difference is 5 - 1 = 4. So AE has a spacing of 4 letters.Step 2: Examine CG.C = 3, G = 7. Difference is 7 - 3 = 4. So CG also has a spacing of 4 letters.Step 3: Examine JN.J = 10, N = 14. Difference is 14 - 10 = 4. JN fits the same pattern.Step 4: Examine MO.M = 13, O = 15. Difference is 15 - 13 = 2. Here the spacing is only 2, not 4.Step 5: Identify the odd pair.AE, CG and JN all have a consistent gap of 4 positions between letters, while MO has a gap of 2. Therefore MO is the odd pair out. Verification / Alternative check:Another way to verify is to write the alphabet and count forward from each first letter. Starting from A and counting four steps forward (including the next letter) brings you to E. From C, four steps bring you to G. From J, four steps bring you to N. However, starting from M, four steps forward would bring you to Q, not O. Since O is only two positions ahead of M, this confirms that MO does not share the same spacing as the other three pairs. Why Other Options Are Wrong:AE: Second letter is four positions ahead of the first, fitting the common pattern. CG: Also shows a difference of 4 between C and G, consistent with AE and JN. JN: Once again, N is four positions ahead of J, so this pair is part of the main pattern. Common Pitfalls:Sometimes learners confuse counting positions and counting letters in between. The safe method is always to convert letters to numerical positions and subtract the first from the second. This eliminates counting errors and makes it easier to spot equal differences. When the pattern is based on a constant gap, even a small mistake can lead to a wrong answer, so a systematic approach is very helpful. Final Answer:The odd letter pair is MO, because in this pair the second letter is only two positions ahead of the first, while in the other three pairs the second letter is four positions ahead of the first.

Question 7

In this alphabet pattern reasoning question, select the odd group of letters from the following alternatives: DAEH, KIMP, HEIL and FCGJ.

Accepted Answer

Introduction / Context:This is a slightly more challenging letter pattern question from the verbal reasoning section. You are given four groups of four letters each: DAEH, KIMP, HEIL and FCGJ. In three of these groups, the letters follow a consistent pattern of movement in the alphabet, while one group breaks that pattern. Your task is to identify the group that does not follow the same set of position changes and mark it as the odd one out. Given Data / Assumptions: Groups: DAEH, KIMP, HEIL and FCGJ. Alphabet positions: A = 1, B = 2, ..., Z = 26. We examine the differences from the first letter to the second, second to third and third to fourth in each group. In three groups, the difference pattern is the same, while one group has a different pattern. Concept / Approach:We map each letter to its numeric position and calculate letter to letter differences across each group. If three groups display the same sequence of differences, for example -3, +4, +3, and one group does not, that group is the odd one out. This approach looks at the internal structure of the letter sequence rather than any external meaning attached to the letters. Step-by-Step Solution:Step 1: Analyze DAEH.D = 4, A = 1, E = 5, H = 8. Differences: 4 to 1 = -3, 1 to 5 = +4, 5 to 8 = +3. Pattern: -3, +4, +3.Step 2: Analyze HEIL.H = 8, E = 5, I = 9, L = 12. Differences: 8 to 5 = -3, 5 to 9 = +4, 9 to 12 = +3. Pattern: -3, +4, +3, same as DAEH.Step 3: Analyze FCGJ.F = 6, C = 3, G = 7, J = 10. Differences: 6 to 3 = -3, 3 to 7 = +4, 7 to 10 = +3. Pattern: -3, +4, +3, again matching the first two groups.Step 4: Analyze KIMP.K = 11, I = 9, M = 13, P = 16. Differences: 11 to 9 = -2, 9 to 13 = +4, 13 to 16 = +3. Pattern: -2, +4, +3, which differs in the first step from the others.Step 5: Identify the odd group.Since DAEH, HEIL and FCGJ share the pattern -3, +4, +3, while KIMP has -2, +4, +3, KIMP is the odd group out. Verification / Alternative check:If you rewrite each group in numeric form and look only at the differences, the pattern stands out clearly. DAEH becomes 4, 1, 5, 8. HEIL becomes 8, 5, 9, 12. FCGJ becomes 6, 3, 7, 10. In each case, you move three steps back, then four steps forward, then three steps forward. KIMP breaks this symmetry by moving back only two steps in the first transition. This consistent structural mismatch confirms that KIMP is the only group that does not follow the same positional rule. Why Other Options Are Wrong:DAEH: Follows the pattern -3, +4, +3 and is consistent with HEIL and FCGJ. HEIL: Again shows -3, +4, +3 between consecutive letters, so it belongs to the main pattern. FCGJ: Also obeys the same pattern and therefore is not the odd group. Common Pitfalls:Because the letters look random, some students may try to form meaningful words or focus only on the first and last letters. However, the key to such questions is to compare all internal steps. Another common mistake is to miscount letter positions when subtracting. To avoid this, always write down the numeric positions clearly or double check differences when patterns appear subtle. Final Answer:The odd group of letters is KIMP, because its letter to letter difference pattern is -2, +4, +3, while the other three groups all follow the pattern -3, +4, +3.

Question 8

In this alphabet pattern reasoning question, select the odd group of letters from the following alternatives: ADG, HKN, ORU and BDF.

Accepted Answer

Introduction / Context:This question tests your ability to recognize simple arithmetic progressions in the alphabet. You are given four groups of letters: ADG, HKN, ORU and BDF. In three groups, the letters progress forward with a constant step of plus three positions in the alphabet, while in one group the step is different. Your job is to find the group that does not follow the same step size and mark it as the odd one out. Given Data / Assumptions: Letter groups: ADG, HKN, ORU and BDF. Alphabet positions: A = 1, B = 2, ..., Z = 26. We compare the differences between consecutive letters in each group. Three groups show a common pattern of +3, +3, while one group does not. Concept / Approach:We convert each letter to its numeric position and compute the difference from the first letter to the second and from the second to the third. If three groups show a difference of +3 each time and one group has a different difference, that group is the odd one out. This is a straightforward way to analyze alphabetic sequences in reasoning questions. Step-by-Step Solution:Step 1: Analyze ADG.A = 1, D = 4, G = 7. Differences: 1 to 4 = +3 and 4 to 7 = +3. Pattern: +3, +3.Step 2: Analyze HKN.H = 8, K = 11, N = 14. Differences: 8 to 11 = +3 and 11 to 14 = +3. Pattern: +3, +3.Step 3: Analyze ORU.O = 15, R = 18, U = 21. Differences: 15 to 18 = +3 and 18 to 21 = +3. Pattern: +3, +3.Step 4: Analyze BDF.B = 2, D = 4, F = 6. Differences: 2 to 4 = +2 and 4 to 6 = +2. Pattern: +2, +2, which is different from the +3, +3 pattern.Step 5: Identify the odd group.ADG, HKN and ORU all have equal jumps of three letters between each position, while BDF has jumps of two letters, so BDF is the odd group out. Verification / Alternative check:You can also verify visually by writing the alphabet and tracing each group. ADG jumps from A to D to G, always skipping two letters between selected ones, which corresponds to a step of three positions. HKN and ORU behave the same way. BDF, however, moves from B to D to F, skipping only one letter each time, which indicates a smaller step. This visual approach confirms that BDF does not fit the common structure of the other three groups. Why Other Options Are Wrong:ADG: Follows the pattern +3, +3 and is fully consistent with HKN and ORU. HKN: Shows the same step size of three letters between positions. ORU: Continues the same type of forward progression and belongs to the same pattern family. Common Pitfalls:Students sometimes focus only on whether groups are increasing or decreasing and overlook the actual step size. In this question, all groups are increasing, so you need to examine the spacing carefully. Always measure the exact difference in positions when solving alphabet sequence problems to avoid missing such subtle but important details. Final Answer:The odd group of letters is BDF, because it advances by two alphabet positions at each step, while ADG, HKN and ORU each advance by three positions at every step.

Question 9

In this number classification question, select the odd number from the following alternatives: 75, 65, 82 and 85.

Accepted Answer

Introduction / Context:This question checks your basic divisibility knowledge. You are given four numbers 75, 65, 82 and 85. Three of these numbers share a common divisibility property, while one number does not. In particular, three of them are multiples of 5, and one is not. You must determine which number does not follow the same divisibility rule and mark it as the odd one out. Given Data / Assumptions: Numbers: 75, 65, 82 and 85. We focus on divisibility by 5, which is easy to test from the units digit. In valid numbers, the units digit should be 0 or 5. Exactly one number does not satisfy this condition. Concept / Approach:A number is divisible by 5 if and only if its last digit is 0 or 5. This rule allows very quick checking without long division. We simply inspect the units digit of each number in the list. If three numbers end in 5 or 0 and one number does not, that number becomes the odd one out, because it is not a multiple of 5. Step-by-Step Solution:Step 1: Check 75.The last digit of 75 is 5. Therefore, 75 is divisible by 5.Step 2: Check 65.The last digit of 65 is 5. So 65 is also divisible by 5.Step 3: Check 85.The last digit of 85 is 5 as well, making it another multiple of 5.Step 4: Check 82.The last digit of 82 is 2. A number ending in 2 is not divisible by 5. So 82 is not a multiple of 5.Step 5: Identify the odd number.Since 75, 65 and 85 are divisible by 5 and 82 is not, 82 is the odd number out. Verification / Alternative check:You can confirm this by performing quick divisions. 75 / 5 = 15, 65 / 5 = 13 and 85 / 5 = 17, all of which are exact integers. In contrast, 82 / 5 = 16.4, which is not an integer, so 82 is not divisible by 5. This alternative check supports the result you already obtained just by looking at the last digit, and highlights how divisibility rules help in fast reasoning. Why Other Options Are Wrong:75: Ends with 5 and is exactly divisible by 5, so it matches the main pattern. 65: Also ends with 5 and is a multiple of 5, so it belongs with 75 and 85. 85: Another number ending with 5 and therefore divisible by 5, not the odd one. Common Pitfalls:Some learners might overthink and start checking for prime or composite nature or divisibility by 3, when the simplest classification is based on divisibility by 5. In many basic odd one out questions, the examiner expects you to apply simple divisibility rules. Always scan for obvious properties like parity and divisibility by 5 or 10 before attempting more advanced analyses. Final Answer:The odd number is 82, because it is not divisible by 5, while 75, 65 and 85 are all multiples of 5.

Question 10

In this alphabet pattern reasoning question, select the odd group of letters from the following alternatives: XWV, RQP, HFE and MLK.

Accepted Answer

Introduction / Context:This question belongs to the letter sequence and odd one out section of reasoning. The given groups are XWV, RQP, HFE and MLK. In three of these groups, the letters form a simple run of three consecutive letters in reverse alphabetical order. One group, however, does not consist of three consecutive letters and has irregular spacing. Your task is to detect that irregular group and select it as the odd one out. Given Data / Assumptions: Letter groups: XWV, RQP, HFE and MLK. Alphabet positions: A = 1, B = 2, ..., Z = 26. We examine whether each group represents three consecutive letters in descending order. Exactly one group breaks this consecutive descending pattern. Concept / Approach:We convert letters to their alphabet positions and check two things: whether the sequence is strictly descending, and whether the difference between consecutive letters is exactly one. If three groups show differences of -1 and -1, confirming that they are runs of three consecutive letters in reverse, and one group has differences like -2 or a mix of -2 and -1, that group will be the odd one out. Step-by-Step Solution:Step 1: Analyze XWV.X = 24, W = 23, V = 22. Differences: 24 to 23 = -1 and 23 to 22 = -1. So XWV is a sequence of three consecutive letters in reverse order.Step 2: Analyze RQP.R = 18, Q = 17, P = 16. Differences: 18 to 17 = -1 and 17 to 16 = -1. RQP is also a sequence of three consecutive letters in reverse.Step 3: Analyze MLK.M = 13, L = 12, K = 11. Differences: 13 to 12 = -1 and 12 to 11 = -1. MLK again is three consecutive letters in descending order.Step 4: Analyze HFE.H = 8, F = 6, E = 5. Differences: 8 to 6 = -2 and 6 to 5 = -1. These are not equal and do not represent a sequence of three consecutive letters.Step 5: Identify the odd group.XWV, RQP and MLK all consist of three consecutive letters in reverse order, while HFE does not. Hence HFE is the odd group out. Verification / Alternative check:If you write the sequences directly in alphabetical form, you will see RQP corresponds to P, Q, R written backward, XWV corresponds to V, W, X written backward and MLK corresponds to K, L, M written backward. They are all perfect backward runs. HFE would correspond to E, F, H if you reverse it, which skips the letter G and therefore is not a run of three consecutive letters. This visual method confirms that HFE breaks the pattern followed by the other three groups. Why Other Options Are Wrong:XWV: Three consecutive letters X, W and V in reverse order, so it fits the main pattern. RQP: Another set of three consecutive letters, R, Q and P, arranged backward. MLK: Again three consecutive letters, M, L and K, in descending sequence. Common Pitfalls:Sometimes learners observe only that all groups are descending and stop there, missing the crucial detail that the correct groups are also consecutive. In many alphabet odd one out questions, you must check both direction and consecutiveness. Skipping the step of verifying whether there is exactly one step between letters can lead to an incorrect answer when one group uses larger jumps, as HFE does here. Final Answer:The odd group of letters is HFE, because it is not a sequence of three consecutive letters in reverse order, unlike XWV, RQP and MLK.

Question 11

In the following question on number relationships, four number pairs are given. In each pair, the first number is related to the second number. Carefully examine the pattern in each pair and then select the odd number pair from the given alternative…

Accepted Answer

Introduction / Context:This aptitude question tests your ability to identify hidden numerical relationships between two numbers in a pair. You are given four number pairs where the first number is a perfect square and the second number is close to the square root of the first. Your task is to find the one pair that does not follow the same consistent pattern as the others and mark it as the odd number pair. Given Data / Assumptions: Number pairs: 1444 – 37, 2809 – 54, 2209 – 46 and 6084 – 77. The first number in each pair appears to be a large integer, often close to a perfect square. The second number seems to be related to the square root of the first number. Exactly one pair will break the pattern followed by the other three pairs. Concept / Approach:The most natural approach is to check whether the first number in each pair is a perfect square and then compare its square root with the second number. If three pairs satisfy a rule like second number = (square root of first number) minus 1, and one pair differs, that differing pair will be the odd one out. This technique of matching perfect squares and simple adjustments around their roots is very common in number pair reasoning questions. Step-by-Step Solution:Step 1: Check the pair 1444 – 37.Compute 38^2 = 38 * 38 = 1444. So the square root of 1444 is 38. The second number is 37, which equals 38 - 1.Step 2: Check the pair 2209 – 46.Compute 47^2 = 47 * 47 = 2209. So the square root is 47 and the second number is 46, that is 47 - 1.Step 3: Check the pair 6084 – 77.Compute 78^2 = 78 * 78 = 6084. The square root is 78 and the second number is 77, again 78 - 1.Step 4: Check the pair 2809 – 54.Compute 53^2 = 53 * 53 = 2809. The square root is 53 but the second number is 54, which equals 53 + 1, not 53 - 1.Step 5: Compare all four results.In three pairs the pattern is second number = (square root of first number) minus 1, while in one pair the second number is one more than the square root. That pair is the odd one out. Verification / Alternative check:You can verify your conclusion by writing each pair in the form (n^2, k) and asking whether k equals n - 1 or something else. For 1444 – 37, 2209 – 46 and 6084 – 77, the second number is exactly one less than the square root of the first. Only in 2809 – 54 is the second number one more than the square root. This clean and consistent difference confirms which pair is structurally different. Why Other Options Are Wrong:1444 – 37: Here 1444 = 38^2 and 37 = 38 - 1, so it fits the pattern. 2209 – 46: In this case 2209 = 47^2 and 46 = 47 - 1, again matching the rule. 6084 – 77: Similarly, 6084 = 78^2 and 77 = 78 - 1, so this pair is also consistent. Common Pitfalls:A common mistake is to attempt complex operations like multiplication or division between the two numbers without first checking for obvious properties such as perfect squares. Another frequent error is miscalculating square values, especially for two digit bases. Memorising squares of integers from 10 to about 30 is extremely helpful for such questions and allows you to quickly see patterns like n^2 and n - 1 or n + 1. Always look for the simplest and most regular relationship first before exploring more complicated possibilities. Final Answer:The odd number pair is 2809 – 54, because in this pair the second number is one more than the square root of the first number, whereas in all the other pairs the second number is one less than the square root of the first number.

Question 12

In the following general knowledge and classification question, four commonly known plant based food items are given. Three of them are fruits, while one is primarily classified as a vegetable. Select the odd word from the given alternatives.

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Introduction / Context:This is a classic verbal reasoning and general knowledge question based on classification of food items. You are given four common names: Apple, Banana, Tomato and Cauliflower. Three of these are widely recognised and used as fruits, while one belongs to the category of vegetables, especially in day to day cooking. Your task is to recognise this difference in botanical or culinary classification and select the odd word from the group. Given Data / Assumptions: Options: Apple, Banana, Tomato and Cauliflower. We consider everyday usage and basic science: fruits versus vegetables. Apple, Banana and Tomato are all edible fruits of plants. Cauliflower is mainly known as a vegetable, specifically an edible flower head. Exactly one item is not primarily a fruit in common classification. Concept / Approach:In aptitude questions of this type, the examiner usually expects you to group items based on a common category like fruits, vegetables, animals, vehicles or tools. Here, three of the given items are fruits, that is, they are seed bearing structures typically eaten in the ripe form and often sweet or tangy. Cauliflower, however, is not the fruit of a plant; instead, it is a modified flower used as a vegetable. The odd one will be the item that does not fit smoothly into the majority category. Step-by-Step Solution:Step 1: Examine Apple.Apple is a classic fruit, eaten raw, sweet in taste and used in juices, desserts and salads. It clearly belongs to the fruits category.Step 2: Examine Banana.Banana is also a well known fruit, eaten ripe as a sweet food and used in milkshakes, desserts and snacks. It is not treated as a vegetable in normal usage.Step 3: Examine Tomato.Botanically, Tomato is a fruit because it contains seeds and develops from the flower of the plant. Even though it is used like a vegetable in cooking, it is still more closely grouped with fruits in classification questions.Step 4: Examine Cauliflower.Cauliflower is a vegetable. It is the compact flower head of the plant, cooked in curries, fried dishes and mixed vegetable recipes. It is not a fruit.Step 5: Identify the odd word.Three terms are fruits, while Cauliflower is a vegetable, so Cauliflower is the odd one out. Verification / Alternative check:You can also mentally place each item into two groups: things normally eaten raw as fruits versus vegetables typically cooked in dishes. Apple and Banana are almost always eaten raw or in sweet preparations. Tomato is commonly eaten raw in salads and is the fruit of the plant, although used in curries as well. Cauliflower, however, is practically always cooked and is treated purely as a vegetable. This separation again confirms that Cauliflower does not belong with the other three. Why Other Options Are Wrong:Apple: A typical fruit, so it matches Banana and Tomato rather than Cauliflower. Banana: Another well known fruit that clearly belongs in the fruits group. Tomato: Botanically a fruit and often grouped with fruits in reasoning questions, so it is not the odd one here. Common Pitfalls:A common confusion arises because Tomato is often called a vegetable in the kitchen. However, in exam questions, Tomatoes are usually grouped with fruits due to their botanical nature as seed bearing plant fruits. To avoid mistakes, focus on the broader scientific classification rather than only culinary habits. When in doubt, ask whether the item is the fruit of a plant or a different part such as leaf, root or flower. Final Answer:The odd word is Cauliflower, because Apple, Banana and Tomato are fruits, whereas Cauliflower is a vegetable derived from the flower head of the plant.

Question 13

In the following number classification question, four three digit numbers are given. In three of the numbers, the sum of the digits is the same, while in one number the digit sum is different. Select the odd number from the given alternatives.

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Introduction / Context:This question belongs to the number reasoning and odd one out category. You are given four three digit numbers: 373, 265, 490 and 672. In many aptitude questions, numbers are grouped using properties such as sum of digits, divisibility or even odd status. Here, three numbers share the same digit sum, while one does not. Your task is to identify the number whose digit sum is different and mark it as the odd one out. Given Data / Assumptions: Numbers: 373, 265, 490 and 672. We consider the sum of digits of each number. Exactly one number has a digit sum different from the others. No advanced mathematics is needed; only basic addition of digits is required. Concept / Approach:A well known technique in such problems is to compute the sum of the digits of each number and compare the results. Sometimes three numbers share an equal sum and one stands out, or three numbers share a property like divisibility while one does not. When you notice that sums are small and close to each other, this is usually a strong hint that the question revolves around digit sums rather than more complicated relationships. Step-by-Step Solution:Step 1: Compute the digit sum of 373.3 + 7 + 3 = 13.Step 2: Compute the digit sum of 265.2 + 6 + 5 = 13.Step 3: Compute the digit sum of 490.4 + 9 + 0 = 13.Step 4: Compute the digit sum of 672.6 + 7 + 2 = 15.Step 5: Compare the sums.373, 265 and 490 all have a digit sum of 13, while 672 has a digit sum of 15. Therefore, 672 does not match the pattern. Verification / Alternative check:As an alternative, you can notice that 373, 265 and 490 all reduce to the same digital root if you apply repeated digit sum reduction. For example, 373 gives 3 + 7 + 3 = 13 and 1 + 3 = 4, 265 gives 13 and again 4, and 490 gives 13 and then 4. However, 672 gives 15 and 1 + 5 = 6. Since the three numbers reduce to 4 while 672 reduces to 6, 672 clearly stands apart from the group under the same digit based operation, confirming it as the odd one. Why Other Options Are Wrong:373: Has digit sum 13, matching 265 and 490, so it belongs to the main pattern. 265: Also has digit sum 13 and is therefore not the odd number. 490: Once again has digit sum 13 and fits with the first two numbers. Common Pitfalls:Candidates sometimes begin checking properties like divisibility by 3, 5 or 9 or look for squares and cubes, which can waste time when the intended pattern is much simpler. Another small error is misadding digits, especially if you are working quickly under exam pressure. To avoid this, always double check your digit sums before drawing a conclusion, particularly when all sums are in the same range. Final Answer:The odd number is 672, because its digit sum is 15, whereas the digit sum of each of the other three numbers is 13.

Question 14

In this number classification question, four four digit numbers are given. Three of them are not divisible by 5, while one of them is clearly divisible by 5 because of its last digit. Using basic divisibility rules, find out the odd number from the …

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Introduction / Context:This question focuses on simple divisibility rules, especially divisibility by 5. You are given four four digit numbers: 3425, 4541, 5661 and 6783. In competitive exams, examiners often test whether you remember quick mental checks such as looking only at the last digit to decide whether a number is divisible by 5. Here, three numbers do not satisfy this rule, while one number clearly does. The goal is to identify the number that behaves differently under the divisibility by 5 test and mark it as the odd one out. Given Data / Assumptions: Numbers: 3425, 4541, 5661 and 6783. We are interested in divisibility by 5. A number is divisible by 5 if and only if its last digit is 0 or 5. Exactly one number ends in 5, the others end in 1 or 3. No additional hidden pattern is assumed beyond this clear divisibility test. Concept / Approach:To decide whether a number is divisible by 5, you do not need long division. The standard rule says: if the last digit of a number is 0 or 5, then the number is divisible by 5; otherwise, it is not. Therefore, in a list of numbers, the simplest way to spot which ones are multiples of 5 is to look only at the units place. In an odd one out question, if only one option satisfies this rule, then that option is the odd one based on divisibility by 5. Step-by-Step Solution:Step 1: Examine 3425.The last digit is 5. Therefore, 3425 is divisible by 5.Step 2: Examine 4541.The last digit is 1, so 4541 is not divisible by 5.Step 3: Examine 5661.The last digit is 1, so 5661 is also not divisible by 5.Step 4: Examine 6783.The last digit is 3, so 6783 is not divisible by 5.Step 5: Compare all four numbers.Only 3425 passes the divisibility by 5 test, while the other three numbers do not. That makes 3425 the odd number in this group. Verification / Alternative check:You can quickly verify your conclusion by attempting to divide each number by 5 in your head. Dividing 3425 by 5 gives 685 exactly, which is an integer. On the other hand, dividing 4541, 5661 or 6783 by 5 yields non integer results ending in .2 or .4 etc. This confirms that only 3425 is a multiple of 5 and clearly supports the choice based on the divisibility rule without any ambiguity. Why Other Options Are Wrong:4541: Ends in 1, so it fails the divisibility by 5 rule and is not a multiple of 5 like 5661 and 6783. 5661: Ends in 1, therefore this number is also not divisible by 5. 6783: Ends in 3, so it is not divisible by 5 and behaves like 4541 and 5661 under this rule. Common Pitfalls:Some candidates spend time looking for complicated patterns involving sums or products of digits, or possible relationships between the thousands, hundreds, tens and units digits. While deeper patterns sometimes appear, in this case the examiner is simply checking whether you can apply the basic divisibility rule. Always test simple rules like divisibility by 2, 3, 5 or 9 when you see larger numbers; they often reveal the intended structure very quickly and save valuable exam time. Final Answer:The odd number is 3425, because it is the only number in the list that is divisible by 5, while 4541, 5661 and 6783 are not divisible by 5.

Question 15

In this Indian polity and general knowledge question, four place names are given. Three of them are Union Territories of India, while one is a state capital city. Find out the odd word from the given alternatives.

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Introduction / Context:This question belongs to the general knowledge and civics section, focusing on the administrative divisions of India. You are given four names: Daman and Diu, Puducherry, Delhi and Chennai. Three of these are Union Territories (or fall under Union Territory administration), while one is the capital city of a state. Your task is to identify which name does not fit into the Union Territory category and select it as the odd word out. Given Data / Assumptions: Daman and Diu: historically a Union Territory of India, now part of the combined Union Territory of Dadra and Nagar Haveli and Daman and Diu. Puducherry: a Union Territory of India with several enclaves. Delhi: the National Capital Territory, administered as a special category Union Territory. Chennai: the capital city of the Indian state of Tamil Nadu. We use standard Indian geography and polity classification into states and Union Territories. Concept / Approach:India is divided into states and Union Territories. Union Territories are regions that are directly governed by the Central Government, sometimes with partial state like powers, as in the case of the National Capital Territory of Delhi. State capitals like Chennai are cities within states that have their own separate elected governments and powers under the Constitution. In this question, the three Union Territory names and the one state capital name are mixed together. The odd one out will be the name that refers to a city which is not itself a Union Territory. Step-by-Step Solution:Step 1: Classify Daman and Diu.Daman and Diu formed part of a Union Territory, and in the current administrative structure they are included in the Union Territory of Dadra and Nagar Haveli and Daman and Diu. So this is in the Union Territory category.Step 2: Classify Puducherry.Puducherry is officially a Union Territory of India with its own legislative assembly but remains in the Union Territory group.Step 3: Classify Delhi.Delhi is the National Capital Territory (NCT). It is treated as a Union Territory with a special status and its own assembly, but constitutionally it belongs to the Union Territory family, not the states list.Step 4: Classify Chennai.Chennai is the capital city of Tamil Nadu, which is a full fledged state of India, not a Union Territory.Step 5: Identify the odd word.Three options relate to Union Territories, while Chennai is a state capital, so Chennai is the odd one out. Verification / Alternative check:Another way is to ask: does this place have the status of a Union Territory or a state? Daman and Diu, Puducherry and Delhi all appear on the list of Union Territories, although their exact administrative forms have changed over time. Chennai never appears as a Union Territory; it is always recognised as a metropolitan city located in the state of Tamil Nadu. This simple classification is enough to confirm the answer without deep constitutional details. Why Other Options Are Wrong:Daman and Diu: Belongs to the Union Territory structure, so it matches Delhi and Puducherry. Puducherry: Clearly a Union Territory, so it is not the odd one. Delhi: The National Capital Territory, administered like a Union Territory, grouped with other Union Territories rather than with states. Common Pitfalls:Sometimes candidates confuse Delhi with a state due to its assembly, or they may not be fully updated about the merger of Daman and Diu with Dadra and Nagar Haveli. For exam purposes, however, Daman and Diu, Puducherry and Delhi all fall on the Union Territory side of the classification, whereas Chennai is firmly on the state capital side. Always remember to distinguish between Union Territories and states, and treat special cases like Delhi as part of the Union Territory cluster unless a question specifically asks about state like powers. Final Answer:The odd word is Chennai, because Daman and Diu, Puducherry and Delhi are associated with Union Territories, whereas Chennai is the capital city of the Indian state of Tamil Nadu.

Question 16

In the following alphabet pattern reasoning question, four groups of three letters each are given: POR, MEF, TUD and STD. Three groups have their first two letters in consecutive alphabetical order, while one group has the consecutive letters in a d…

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Introduction / Context:This question tests your ability to detect patterns in sequences of letters. You are given four three letter groups: POR, MEF, TUD and STD. In verbal reasoning, a common pattern involves consecutive letters of the English alphabet appearing in fixed positions (for example, as the first two letters or the last two letters). Here, three of the groups have their first two letters as consecutive neighbours in the alphabet, while one group has the consecutive pair in a different position. You must identify that differently structured group as the odd one out. Given Data / Assumptions: Letter groups: POR, MEF, TUD and STD. Alphabet positions: A = 1, B = 2, ..., Z = 26. We pay attention to whether letters are consecutive and where that consecutiveness occurs in the group. Three groups have the first and second letters consecutive in the alphabet. Exactly one group places its consecutive pair in a different position. Concept / Approach:We examine each group to see which pair of letters is consecutive in the alphabet. In POR, TUD and STD, the first two letters form consecutive alphabet positions, though sometimes in reverse order. In MEF, however, the consecutive letters appear in the second and third positions, not in the first and second. The odd group is therefore the one that does not match the positional pattern shown by the other three groups. Step-by-Step Solution:Step 1: Analyse POR.P and O are the first two letters. In terms of positions, P = 16 and O = 15. They are consecutive letters in reverse order (16, 15). The third letter R = 18 is not adjacent to O.Step 2: Analyse TUD.T and U are the first two letters. T = 20 and U = 21, which are consecutive letters in forward order. D = 4 is separate.Step 3: Analyse STD.S and T are the first two letters. S = 19 and T = 20, again consecutive in forward order. D = 4 is not adjacent to T.Step 4: Analyse MEF.M and E are the first two letters. M = 13 and E = 5 and are not consecutive. However, E = 5 and F = 6 (second and third letters) are consecutive in forward order.Step 5: Identify the pattern and the odd group.In POR, TUD and STD, the first two letters form a consecutive pair. In MEF, the consecutive pair appears in the second and third positions, not in the first two. Therefore MEF is the odd letter group out. Verification / Alternative check:A quick verification method is to underline the consecutive letters in each group. For POR you underline P and O, for TUD you underline T and U, and for STD you underline S and T. In all three cases, the underline covers the first and second positions. For MEF, you underline E and F, which are the second and third letters. This simple visual check makes the difference in structure obvious and confirms that MEF does not match the layout that appears in the other three groups. Why Other Options Are Wrong:POR: Has P and O as the first two letters, which are consecutive, so it follows the main pattern. TUD: Has T and U as the first two letters, which are consecutive in forward order, again fitting the pattern. STD: Has S and T as the first two letters, which are also consecutive, so it is not the odd one. Common Pitfalls:Students sometimes only look for any two consecutive letters in each group and conclude that all four are similar. The key here is not just whether there is a consecutive pair, but where it is located within the group. Pattern questions often rely on the exact position of the pattern as much as the pattern itself. Paying attention to the positions of letters or digits is crucial for solving such questions accurately. Final Answer:The odd letter group is MEF, because it has its consecutive letters in the second and third positions, while in the other three groups the first and second letters are consecutive in the alphabet.

Question 17

In the following question on word relationships, four word pairs are given. Some pairs show a relation of antonyms (opposites), while another pair shows a relation of synonyms (similar meanings). Select the odd word pair from the given alternatives.

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Introduction / Context:This question belongs to the verbal reasoning and vocabulary section. You are given four word pairs: Error : Accurate, Careless : Casual, Strength : Lethargy and Gloomy : Cheerful. In three of these pairs, the two words express opposite or contrasting meanings (antonyms), while in one pair the words express similar meanings (synonyms). Your task is to identify the pair that shows similarity of meaning and therefore does not fit the antonym pattern of the others. Given Data / Assumptions: Word pairs: Error : Accurate, Careless : Casual, Strength : Lethargy, Gloomy : Cheerful. We assume standard modern English meanings of these words. Three pairs are intended to represent contrast or opposition in meaning. One pair represents similarity in meaning and is the odd one out. We do not focus on part of speech differences, only semantic relationships. Concept / Approach:First, recognise that antonyms are pairs of words with opposite meanings, such as hot and cold, or happy and sad. Synonyms are pairs of words with similar meanings, such as big and large. In this question, the examiner has grouped three pairs which are antonyms and one pair which is a synonym pair. By identifying which pair expresses similarity rather than opposition, you can easily pick the odd pair from the list. Step-by-Step Solution:Step 1: Analyse Error : Accurate.Error refers to a mistake, while Accurate means correct or free from error. These words represent opposite ideas: one signifies a wrong outcome and the other signifies a correct outcome.Step 2: Analyse Strength : Lethargy.Strength suggests power, energy or vigour. Lethargy suggests drowsiness, lack of energy or sluggishness. These are contrasting ideas: one expresses high energy, the other low energy.Step 3: Analyse Gloomy : Cheerful.Gloomy means sad, dark or depressing in mood. Cheerful means bright, happy and full of positive emotion. Again, they are clear antonyms.Step 4: Analyse Careless : Casual.Careless describes someone who does not pay enough attention or is negligent. Casual often describes something relaxed or informal, and in many contexts it is close in meaning to Careless when we speak of a casual attitude. The two words are not opposites; they often overlap in sense.Step 5: Identify the odd pair.The first, third and fourth pairs express opposite meanings, while Careless : Casual shows similar or related meanings. Therefore Careless : Casual is the odd one out. Verification / Alternative check:A quick check is to ask: can you easily think of a clear opposite for each first word? Error naturally contrasts with correctness or accuracy. Strength naturally contrasts with weakness, tiredness or lethargy. Gloomy contrasts cleanly with cheerful or bright. However, the opposite of Careless would be Careful or Attentive, not Casual. Casual can sometimes be used positively to mean relaxed, or neutrally to mean informal. This test confirms that Careless : Casual does not form an antonym pair and so stands apart from the others. Why Other Options Are Wrong:Error : Accurate: These words describe opposite ideas of mistake versus correctness and so form an antonym pair. Strength : Lethargy: One expresses energy while the other expresses lack of energy, another antonym pair. Gloomy : Cheerful: Opposite moods, sadness versus happiness, forming a clear antonym pair. Common Pitfalls:Some learners may focus too much on subtle nuances, arguing that words like Casual can be neutral and not always negative. While that is true in a detailed vocabulary discussion, the exam pattern is simpler: it expects you to notice that Careless and Casual often describe similar attitudes in general conversation. In exam questions, always aim for the broad and obvious relationship that the majority of test takers would see, instead of overcomplicating the interpretation. Final Answer:The odd word pair is Careless : Casual, because it expresses a similarity in meaning, while the other three pairs represent opposite meanings (antonyms).

Question 18

In the following alphabet pattern question, four groups of four letters each are given: FUGT, KPLO, DWEV and CWDX. In three of these groups, both the first and third letters and the second and fourth letters form specific patterns of consecutive let…

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Introduction / Context:This question tests your skill in recognising structured patterns within groups of letters. You are given four letter groups: FUGT, KPLO, DWEV and CWDX. In many reasoning questions with such groups, the letters form pairs that are consecutive in the alphabet, either in forward or in reverse order. Here, all four groups have their first and third letters consecutive in forward order, but three groups also have the second and fourth letters consecutive in reverse order. One group has the second and fourth letters consecutive in forward order instead, making it the odd one out. Given Data / Assumptions: Letter groups: FUGT, KPLO, DWEV and CWDX. Alphabet positions: A = 1, B = 2, ..., Z = 26. In each group, we examine positions 1 and 3 as one pair, and positions 2 and 4 as another pair. In three groups, both pairs show the same direction pattern (first and third forward, second and fourth backward). In one group, the second and fourth letters move in a different direction, breaking the pattern. Concept / Approach:We convert each letter to its numerical alphabet position and then examine whether certain pairs are consecutive. In all four groups, letters at positions 1 and 3 are consecutive in forward order: first letter plus one gives the third letter. For the second and fourth letters, however, three groups show a backward consecutive pair (second letter minus one equals fourth letter), while one group shows a forward consecutive pair (second letter plus one equals fourth letter). This difference in direction makes that group the odd one out. Step-by-Step Solution:Step 1: Analyse FUGT.F = 6, U = 21, G = 7, T = 20.First and third letters: F (6) and G (7) are consecutive in forward order.Second and fourth letters: U (21) and T (20) are consecutive in reverse order.Step 2: Analyse KPLO.K = 11, P = 16, L = 12, O = 15.First and third letters: K (11) and L (12) are consecutive forward.Second and fourth letters: P (16) and O (15) are consecutive backward.Step 3: Analyse DWEV.D = 4, W = 23, E = 5, V = 22.First and third letters: D (4) and E (5) are consecutive forward.Second and fourth letters: W (23) and V (22) are consecutive backward.Step 4: Analyse CWDX.C = 3, W = 23, D = 4, X = 24.First and third letters: C (3) and D (4) are consecutive forward.Second and fourth letters: W (23) and X (24) are consecutive forward, not backward.Step 5: Identify the odd group.In FUGT, KPLO and DWEV, second and fourth letters are consecutive in reverse order, but in CWDX they are consecutive in forward order. Therefore CWDX is the odd group. Verification / Alternative check:A simple visual check is to underline the 1st and 3rd letters and then the 2nd and 4th letters in each group. For all four groups, the 1st and 3rd letters (F and G, K and L, D and E, C and D) move forward by one letter. For FUGT, KPLO and DWEV, the 2nd and 4th letters (U and T, P and O, W and V) move backward by one letter. Only in CWDX do the 2nd and 4th letters (W and X) move forward by one letter. This visual approach confirms that CWDX does not share the same direction pattern. Why Other Options Are Wrong:FUGT: F and G are forward consecutive; U and T are backward consecutive, so it follows the main design. KPLO: K and L are forward consecutive; P and O are backward consecutive, again matching the pattern. DWEV: D and E are forward consecutive; W and V are backward consecutive, so it is not the odd one. Common Pitfalls:Students sometimes check only one pair of letters (for example, the first and third) and conclude that all groups are similar, missing the more subtle pattern in the second and fourth letters. In advanced alphabet pattern questions, it is essential to examine all possible letter relationships inside each group rather than stopping after noticing the first similarity. Being systematic about pairs of positions greatly improves accuracy in such puzzles. Final Answer:The odd letter group is CWDX, because in this group both pairs of letters move forward, whereas in the other three groups the first and third letters move forward but the second and fourth letters move backward by one position.

Question 19

In the following number pair reasoning question, four pairs are given in the form a – b. In three of the pairs, the second number is equal to the square of the first number plus 1, while one pair does not follow this rule. Select the odd number pair…

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Introduction / Context:This question tests your ability to detect a simple algebraic relationship between two numbers in a pair. The given pairs are 11 – 120, 17 – 290, 21 – 442 and 12 – 145. In number pair questions of this kind, the second number is often a function of the first number, such as its square plus or minus a constant. Here, three pairs share a common rule: the second number equals the square of the first number plus 1. One pair fails this rule and must be selected as the odd one out. Given Data / Assumptions: Number pairs: 11 – 120, 17 – 290, 21 – 442 and 12 – 145. We suspect a relationship of the form b = a^2 ± k for small k. We will compute a^2 for each first number and compare with the second number. Exactly one pair will not fit the pattern second = first^2 + 1. Concept / Approach:For each pair (a, b), we compute a^2 and then calculate a^2 + 1 and a^2 - 1 to see whether b matches one of these simple expressions. If three pairs show that b = a^2 + 1 and one pair shows b = a^2 - 1, or any other deviation, then the deviating pair is the odd one out. This algebraic method is straightforward and common in competitive exams involving number pairs. Step-by-Step Solution:Step 1: Examine the pair 11 – 120.Compute 11^2 = 121. Then 11^2 + 1 = 122 and 11^2 - 1 = 120. The second number is 120, which equals 11^2 - 1, not 11^2 + 1.Step 2: Examine the pair 17 – 290.Compute 17^2 = 289. Then 17^2 + 1 = 290. The second number equals 17^2 + 1, matching the pattern.Step 3: Examine the pair 21 – 442.Compute 21^2 = 441. Then 21^2 + 1 = 442. Again, the second number equals the square of the first number plus 1.Step 4: Examine the pair 12 – 145.Compute 12^2 = 144. Then 12^2 + 1 = 145. The second number equals 12^2 + 1, keeping the same rule.Step 5: Identify the odd pair.In three pairs, we have b = a^2 + 1. Only 11 – 120 breaks this pattern with b = a^2 - 1. Hence 11 – 120 is the odd number pair. Verification / Alternative check:An alternative is to subtract the square of the first number from the second number for each pair. For 17 – 290, 290 - 289 = 1. For 21 – 442, 442 - 441 = 1. For 12 – 145, 145 - 144 = 1. For 11 – 120, however, 120 - 121 = -1. So three pairs give a difference of +1 and one pair gives a difference of -1. This difference in sign clearly separates 11 – 120 from the rest and confirms the result obtained earlier. Why Other Options Are Wrong:17 – 290: Follows b = a^2 + 1, so it belongs with the majority pattern. 21 – 442: Again shows b = a^2 + 1, consistent with 17 – 290 and 12 – 145. 12 – 145: Also satisfies the same rule b = a^2 + 1 and therefore is not the odd pair. Common Pitfalls:Some students may stop after checking only one or two pairs and jump to a conclusion. Others may try unrelated operations such as multiplying or adding digits instead of directly checking the square relationship, which is the simplest here. To avoid mistakes, always test your suspected pattern across all options. If three options agree with one clean rule and one does not, you have almost certainly found the intended logic of the question. Final Answer:The odd number pair is 11 – 120, because in this pair the second number equals 11^2 - 1, while in all the other pairs the second number equals the square of the first number plus 1.

Question 20

Choose the word that is least like the other words in the group from the following: Garo, Khasi, Kangra and Jayantia. Three of these refer to tribal or hill groups from the same region, while one is the name of a district and town in a different sta…

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Introduction / Context:This is a general knowledge and classification question related to Indian geography and tribes. You are given four names: Garo, Khasi, Kangra and Jayantia. Three of these names are associated with tribal or hill communities from the north eastern region of India, especially Meghalaya, while one refers primarily to a district and town in a completely different part of the country. Your objective is to identify which name does not belong to the group of tribal or hill communities and select it as the odd one out. Given Data / Assumptions: Garo: name of an important tribe and hill area in Meghalaya. Khasi: name of another major tribe and hill region in Meghalaya. Jayantia (Jaintia): name of a tribal group and hill region in the north east, again associated with Meghalaya. Kangra: name of a district and town in Himachal Pradesh, known for its valley and temple, not as a tribe of Meghalaya. We group terms by whether they stand for tribal or hill communities of north eastern India or something else. Concept / Approach:The key idea is to decide which of the names represent ethnic or tribal groups of a particular region and which name is mainly a geographical district or town located elsewhere. Garo, Khasi and Jaintia are closely connected and often mentioned together as the three major hill areas or tribal communities of Meghalaya. Kangra, however, is a district and town in Himachal Pradesh in north India, primarily known for its valley and religious sites, not for being a north eastern tribe. That clear regional and cultural difference is what the question is testing. Step-by-Step Solution:Step 1: Consider Garo.Garo refers to the Garo tribe and the Garo Hills in Meghalaya. It is strongly associated with tribal culture in north eastern India.Step 2: Consider Khasi.Khasi refers to the Khasi tribe and Khasi Hills, again located in Meghalaya. It is another major tribal and hill community of the same region.Step 3: Consider Jayantia.Jayantia (commonly spelled Jaintia) refers to the Jaintia tribe and Jaintia Hills in the same broad area. Together, Garo, Khasi and Jaintia form a familiar trio of hill regions and communities in Meghalaya.Step 4: Consider Kangra.Kangra is the name of a district and town in Himachal Pradesh in the north of India. Although it is a hilly region, it is not known as a tribal group of Meghalaya and is geographically and culturally distinct from Garo, Khasi and Jaintia.Step 5: Identify the odd word.Because Garo, Khasi and Jayantia are closely linked tribal or hill communities of Meghalaya, while Kangra is a district and town in Himachal Pradesh, Kangra is the odd one out. Verification / Alternative check:Another quick method is to recall which of these names appear together in standard general knowledge texts. Garo, Khasi and Jaintia are often mentioned in one line as the three important hill regions or tribes of Meghalaya. Kangra rarely appears in the same context; it appears instead as a district in Himachal Pradesh, known for Kangra Valley and Kangra temple. This difference in textbook grouping supports the conclusion that Kangra does not belong with the other three names. Why Other Options Are Wrong:Garo: Represents a tribal group and hill region of Meghalaya, matching Khasi and Jayantia. Khasi: Another major tribal group and hill area of Meghalaya, again fitting the same pattern. Jayantia: Refers to the Jaintia tribe and hills, again associated with Meghalaya and not an outlier. Common Pitfalls:Some learners may think that because Kangra is also a hilly region it should belong to the same group. However, the intended classification here is not only based on being hilly, but on being a named tribal or hill community of Meghalaya. Knowing a few famous regional groupings like Garo, Khasi and Jaintia can be very helpful for quickly solving such questions in exams that test Indian geography and culture. Final Answer:The odd word is Kangra, because Garo, Khasi and Jayantia are tribal or hill communities associated with Meghalaya, whereas Kangra is a district and town in Himachal Pradesh and not a tribal group of that region.

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