Question 1

Find the odd number pair from the following alternatives: 4-16, 8-24, 14-26, 16-36.

Accepted Answer

Introduction / Context:This odd man out question involves comparing structural properties of number pairs. Here the main idea is to notice that in three pairs the first number is a power of 2, while in one pair it is not, making that pair different from the others. Given Data / Assumptions: Pairs: 4 - 16, 8 - 24, 14 - 26, 16 - 36. We examine the nature of the first numbers and also the general structure of the pairs. Powers of 2 such as 2^2, 2^3, and 2^4 are important in this pattern. Concept / Approach:Look at the first number in each pair and ask whether it is a pure power of 2. Powers of 2 are numbers like 4, 8, 16, 32, and so on, obtained by repeated doubling. If three first terms are powers of 2 and one is not, the pair with the non power first term is the odd one out. This simple property is usually enough to solve the question. Step-by-Step Solution: In 4 - 16, the first number 4 is 2^2, a power of 2. In 8 - 24, the first number 8 is 2^3, again a power of 2. In 16 - 36, the first number 16 is 2^4, which is also a power of 2. In 14 - 26, the first number 14 cannot be written as 2^n for any integer n; it is not a pure power of 2. Therefore the pair 14 - 26 has a first term that is structurally different from the first terms in the other three pairs. Verification / Alternative check:You can verify by factorization. Powers of 2 have prime factorization containing only the prime 2. For 4, 8, and 16, factorizations are 2^2, 2^3, and 2^4. For 14, the factorization is 2 * 7, which includes another prime besides 2. This clearly shows that 14 does not belong to the same special set as 4, 8, and 16, confirming that 14 - 26 is the odd pair. Why Other Options Are Wrong: 4 - 16: Starts with 4, a power of 2, and structurally matches the patterns in 8 - 24 and 16 - 36. 8 - 24: Begins with 8, another power of 2, so it is not the odd pair. 16 - 36: Also begins with a pure power of 2 and shares the same special property. Common Pitfalls:Candidates sometimes try to force a direct arithmetic relation between each first and second number and may get confused by the different multipliers. While such relations exist, they are not uniform across all pairs. The intended pattern is simpler: look only at the nature of the first numbers as powers of 2. Ignoring this structural property can make the question seem harder than it really is. Final Answer:14 - 26

Question 2

Find the odd group of letters from the following alternatives based on the presence of vowels in the group.

Accepted Answer

Introduction / Context:This odd one out question uses groups of four letters and tests whether you can classify them based on the presence of vowels. Three groups contain exactly one vowel, while one group contains no vowel at all, making it different from the others. Given Data / Assumptions: Letter groups: POCG, KLIZ, BUDX, FQMV. Standard English vowels are A, E, I, O, U. We must count vowels in each group and compare. Concept / Approach:The idea is to check each group and identify which letters are vowels and which are consonants. If three groups share the same count of vowels and one group has a different count, that group is the odd one out. Here we especially notice groups with exactly one vowel versus a group with no vowels at all. Step-by-Step Solution: POCG: Contains the vowel O, with P, C, and G as consonants, so there is exactly one vowel. KLIZ: Contains the vowel I, with K, L, and Z as consonants, giving one vowel. BUDX: Contains the vowel U, with B, D, and X as consonants, again one vowel. FQMV: F, Q, M, and V are all consonants; there is no vowel at all in this group. Thus three groups have exactly one vowel each, while FQMV has zero vowels, making it different. Verification / Alternative check:As a check, list all letters and quickly mark vowels and consonants. You will see that POCG, KLIZ, and BUDX each contain one vowel from the A, E, I, O, U set. Only FQMV lacks any letter from this set. This simple counting method is enough to confirm that FQMV is the only fully consonant group and is therefore the odd one out. Why Other Options Are Wrong: POCG: Contains one vowel O, so it matches the pattern of having a single vowel. KLIZ: Contains one vowel I, again in line with the main group pattern. BUDX: Contains one vowel U and thus also fits the majority rule. Common Pitfalls:Some students may search for complicated alphabetical step patterns and overlook simpler properties such as vowel presence. In many questions, especially in basic reasoning sections, the intended rule is very straightforward. Quickly checking for vowels and consonants often reveals the pattern much faster than exploring multiple numeric step rules. Final Answer:FQMV

Question 3

In the number pairs 36 - 48, 56 - 44, 78 - 66 and 33 - 64, find the odd pair based on the difference between the two numbers.

Accepted Answer

Introduction / Context: This is a classic odd one out question from quantitative aptitude where you are given several number pairs and asked to identify which pair does not follow the same numerical rule. These questions test your ability to compare numbers, spot hidden relationships, and recognize simple arithmetic patterns quickly, such as constant differences between paired values. Given Data / Assumptions: We are given the four pairs: 36 - 48, 56 - 44, 78 - 66 and 33 - 64. Each option consists of two integers connected by a dash. We interpret the dash simply as a separator between the first and second number in each pair. We look for a common arithmetic relationship, most naturally the difference between the two numbers. Concept / Approach: Odd one out problems with number pairs frequently rely on a constant difference, a constant ratio, or some property such as both numbers being multiples of a fixed value. Here, the simplest and most revealing approach is to compute the absolute difference between the two numbers in each pair. If three pairs share the same difference and one pair has a different difference, then the one that breaks the pattern is the required odd pair. Step-by-Step Solution: Step 1: For 36 - 48, the absolute difference is |36 - 48| = 12. Step 2: For 56 - 44, the absolute difference is |56 - 44| = 12. Step 3: For 78 - 66, the absolute difference is |78 - 66| = 12. Step 4: For 33 - 64, the absolute difference is |33 - 64| = 31. Step 5: We observe that the first three pairs all have a constant difference of 12, whereas the last pair has a much larger difference of 31. Step 6: Therefore, the pair 33 - 64 does not follow the same constant difference rule and is the odd one out. Verification / Alternative check: To verify, recompute the differences quickly: 36 to 48 is a jump of 12, 56 to 44 is again 12 in the opposite direction, and 78 to 66 is also 12 in the opposite direction. The final pair 33 to 64 clearly involves a change of 31, which is not close to 12 and cannot be explained by the same rule. No other simple pattern, such as constant ratio or common factors, produces such a neat grouping of three similar pairs versus one different pair. Why Other Options Are Wrong: 36 - 48 is not the odd pair because its difference of 12 matches the pattern seen in 56 - 44 and 78 - 66. 56 - 44 is not the odd pair since its difference is also 12, consistent with the same rule. 78 - 66 is not the odd pair for the same reason, as it again gives a difference of 12. 33 - 64 is the only pair whose numbers differ by 31 instead of 12, so it breaks the pattern. Common Pitfalls: A common error is to focus only on the larger numbers or to compare the sums of the numbers in each pair rather than their differences. Some learners may also try unnecessarily complex operations, such as multiplying or dividing the numbers, which is not needed here. When you see similar looking pairs, it is usually best to check simple differences first, as this often reveals the intended pattern very quickly. Final Answer: The pair whose numbers do not differ by 12 and is therefore the odd one out is 33 - 64.

Question 4

From Shrub, Tree, Grow and Creeper, identify the odd word that is not a type of plant.

Accepted Answer

Introduction / Context: This verbal reasoning question tests your understanding of basic vocabulary related to plants and their types. You are asked to find the odd word that does not belong to the same category as the others. Such questions are common in aptitude tests and help evaluate how quickly you can classify words by meaning rather than by spelling or length. Given Data / Assumptions: The four given words are Shrub, Tree, Grow and Creeper. Three of these words name categories or types of plants. One word describes an action or process rather than a plant category. We are required to select the word that does not fit into the same category as the rest. Concept / Approach: The key idea in odd one out vocabulary questions is to group words by their basic meaning and grammatical role. Shrub, Tree and Creeper are all nouns denoting types of plants with specific growth forms. In contrast, Grow is a verb that describes the action of increasing in size, height or development. Because the part of speech and meaning are different, Grow stands out as the odd word in the group. This type of classification by meaning and function is central to many verbal reasoning items. Step-by-Step Solution: Step 1: Consider Shrub. A shrub is a woody plant that is smaller than a tree and usually has multiple stems near the ground. Step 2: Consider Tree. A tree is a tall woody plant with a single main stem or trunk and a distinct crown of branches. Step 3: Consider Creeper. A creeper is a plant that grows along the ground or climbs by clinging to a support, such as a wall or another plant. Step 4: Now consider Grow. Grow is a verb that describes the process by which plants or living things increase in size or develop over time. Step 5: The first three words clearly refer to plant categories, while Grow denotes an action, not a category of plant. Step 6: Therefore Grow is the word that does not belong to the same semantic group as the others. Verification / Alternative check: You can check by asking whether each word can be used after articles like a or the to name a type of plant, for example a shrub, a tree, a creeper. Grow cannot be used in the same way, since you do not say a grow in standard English, which confirms that it functions differently. The meaning test also works: shrub, tree and creeper answer the question what kind of plant, while grow answers what action takes place. Why Other Options Are Wrong: Shrub is not the odd word because it is a clearly defined type of plant. Tree is not the odd word because it also names a specific kind of plant. Creeper is not the odd word because it again refers to a category of plant based on its growth habit. Grow is different from all three because it describes an action rather than a plant type. Common Pitfalls: Some learners may become distracted by word length or spelling similarity instead of focusing on meaning. Another pitfall is to overthink the question and search for complex scientific classifications when only basic vocabulary is required. To avoid such mistakes, always start by asking whether the words represent things of the same type, for example all plants, all actions or all tools. Final Answer: The word that is not a type of plant and is therefore the odd one out is Grow.

Question 5

In the letter groups IFMN, DAHI, ROVW and QNTV, identify the odd group based on a common pattern of alphabetic shifts.

Accepted Answer

Introduction / Context: This question belongs to the verbal reasoning area where letter sequences hide a numerical pattern based on positions in the English alphabet. You are asked to find which group of four letters does not follow the same transformation rule. Recognizing such patterns is important in many competitive exams because it tests both observation and logical thinking about sequences. Given Data / Assumptions: The four letter groups given are IFMN, DAHI, ROVW and QNTV. We interpret each group as a sequence of four letters from left to right. We use A = 1, B = 2, C = 3, and so on up to Z = 26. We will examine the step or difference between consecutive letters inside each group. Concept / Approach: A systematic way to solve alphabet pattern questions is to convert letters into their numeric positions and compute the differences between consecutive letters. If most groups follow the same pattern of differences, for example minus 3, plus 7 and plus 1, and one group does not, then that group is the odd one out. Here, three of the groups share the same sequence of shifts, while one group breaks that rule. Step-by-Step Solution: Step 1: For IFMN, the positions are I = 9, F = 6, M = 13 and N = 14. The differences are 9 - 6 = 3 backward, 13 - 6 = 7 forward from F to M, and 14 - 13 = 1 forward from M to N. So the pattern is -3, +7, +1. Step 2: For DAHI, the positions are D = 4, A = 1, H = 8 and I = 9. The differences are 4 - 1 = 3 backward, then from A to H is +7, and from H to I is +1. Again the pattern is -3, +7, +1. Step 3: For ROVW, the positions are R = 18, O = 15, V = 22 and W = 23. The moves are 18 to 15 which is -3, 15 to 22 which is +7 and 22 to 23 which is +1. So this group also follows -3, +7, +1. Step 4: For QNTV, the positions are Q = 17, N = 14, T = 20 and V = 22. Here the moves are 17 to 14 which is -3, 14 to 20 which is +6 and 20 to 22 which is +2. The pattern is -3, +6, +2 which does not match -3, +7, +1. Step 5: Since IFMN, DAHI and ROVW all share the pattern -3, +7, +1, while QNTV does not, QNTV is the odd letter group. Verification / Alternative check: Rechecking quickly, we can observe that in the first three groups, after moving three steps backward, we always move seven steps forward, and then one more step forward. In QNTV, after the initial backward move, the next forward moves are of size 6 and 2, which clearly differ from 7 and 1. No other simple adjustment can make QNTV conform to the same pattern, which confirms that it is the intended odd group. Why Other Options Are Wrong: IFMN is not the odd group because its sequence of alphabetic differences exactly follows -3, +7, +1. DAHI is not the odd group since its internal pattern is also -3, +7, +1. ROVW is not the odd group because its moves from letter to letter again match -3, +7, +1. QNTV is the only group where the second and third shifts are +6 and +2 instead of +7 and +1, so it breaks the shared rule. Common Pitfalls: A common mistake is to look only at the first and last letters of each group instead of examining every shift. Another pitfall is to forget to use consistent numeric positions for letters, which can lead to arithmetic errors when computing differences. To avoid such issues, always write down the numeric positions clearly and check the pattern of differences for each group in the same systematic way. Final Answer: The letter group that does not follow the -3, +7, +1 alphabetic shift pattern and is therefore the odd one out is QNTV.

Question 6

In the pairs 12 : 144, 20 : 400, 15 : 225 and 17 : 285, find the odd pair based on the square relationship between the numbers.

Accepted Answer

Introduction / Context: This question tests your understanding of basic number patterns, specifically the relationship between a number and its square. In many quantitative aptitude exams, number pairs are constructed such that the second number is a square, cube or some other power of the first. Your task is to recognize this pattern and then pick the pair that does not follow it, which is the odd one out. Given Data / Assumptions: The given pairs are 12 : 144, 20 : 400, 15 : 225 and 17 : 285. Each pair is written in the form first number : second number. We suspect that the second number may be related to the square of the first number. We work with ordinary integer squares, that is n^2 = n * n. Concept / Approach: When examining number pairs, a natural first step is to check whether the second number equals the square of the first. Squaring is common because it is easy to compute for small integers and gives memorable results. If three out of four pairs clearly fit the relationship second number = (first number)^2 and one does not, then the pair that fails this rule is the odd one out. This direct approach avoids overcomplicating the puzzle. Step-by-Step Solution: Step 1: For 12 : 144, compute the square of 12. We have 12^2 = 12 * 12 = 144. So this pair matches the rule second number = first number squared. Step 2: For 20 : 400, compute the square of 20. We have 20^2 = 20 * 20 = 400. This also fits the same rule. Step 3: For 15 : 225, compute the square of 15. We have 15^2 = 15 * 15 = 225, so this pair again satisfies second number = first number squared. Step 4: For 17 : 285, compute the square of 17. We have 17^2 = 17 * 17 = 289, not 285. Therefore, the second number in this pair is not equal to the square of the first number. Step 5: Since the first three pairs strictly follow the square relationship and the fourth pair does not, 17 : 285 is the odd one out. Verification / Alternative check: Recalculate each square to avoid mistakes: 12^2 is 144, 20^2 is 400, 15^2 is 225 and 17^2 is 289. Compare each result with the given second number in the pair. For the first three pairs the values match exactly, confirming the pattern. Only in the pair with 17, the second number 285 is four less than 289, which shows that it has been chosen deliberately to break the rule and serve as the odd option. Why Other Options Are Wrong: 12 : 144 is not the odd pair because 144 is exactly 12^2. 20 : 400 is not the odd pair because 400 is exactly 20^2. 15 : 225 is not the odd pair because 225 is exactly 15^2. 17 : 285 is the odd pair because 285 is not equal to 17^2, which should be 289. Common Pitfalls: Some learners may focus on differences or ratios between the numbers instead of checking the square relationship, which can hide the simple logic. Under exam pressure, it is easy to miscalculate 17^2 and accept 285 as correct without verifying that 17 * 17 actually equals 289. To avoid such errors, always compute squares carefully and compare exactly with the given numbers, especially when the mismatch is small. Final Answer: The pair that does not follow the rule second number = first number squared and is therefore the odd one out is 17 : 285.

Question 7

From the words Bigger, Faster, Greater and Taller, identify the odd comparative based on its meaning.

Accepted Answer

Introduction / Context: This verbal reasoning question asks you to find which comparative adjective among the given options does not belong to the same group by meaning. All four words are comparatives, but three describe size or extent, while one describes speed. This type of classification is common in aptitude tests and helps assess your understanding of subtle differences in word meaning. Given Data / Assumptions: The given words are Bigger, Faster, Greater and Taller. All four words are comparative forms, used to compare two things. We look at the quality or attribute that each comparative adjective describes. We assume standard everyday meanings of these English words. Concept / Approach: The central idea is to group words by the type of quality they compare. Bigger and Greater both deal with size, amount or magnitude. Taller also deals with physical height, which is another aspect of size. Faster, however, refers to speed, that is, how quickly something moves or happens. Since three words are related to size or magnitude and one word is related to speed, the speed related term becomes the odd one out. Looking at the underlying attribute rather than just the grammar form helps solve this quickly. Step-by-Step Solution: Step 1: Bigger is the comparative form of big and is used when one object has greater size, volume or magnitude than another. Step 2: Greater is the comparative form of great and often refers to higher quantity, importance or magnitude, again falling into the broad idea of size or extent. Step 3: Taller is the comparative form of tall and specifically describes greater height, which is another dimension of physical size. Step 4: Faster is the comparative form of fast and is used to say that something moves or happens with more speed than something else. Step 5: Therefore, Bigger, Greater and Taller all relate to size or magnitude, while Faster relates to speed. Step 6: The word that compares speed rather than size is different from the others and is the odd one out. Verification / Alternative check: You can test each word in a sentence such as this car is bigger, this number is greater or this building is taller, all of which relate to some measure of size or amount. When you say this car is faster, you are clearly comparing speed, not size, which confirms that its meaning stands apart. No reasonable interpretation makes Faster a size based comparative in the same way as Bigger, Greater and Taller. Why Other Options Are Wrong: Bigger is not the odd word because it describes a difference in size or magnitude. Greater is not the odd word because it also conveys the idea of increased size, amount or importance. Taller is not the odd word because it refers to greater height, which is a particular form of size comparison. Faster is the odd word because it describes speed, not size or magnitude, and thus belongs to a different category. Common Pitfalls: Some learners may focus only on the grammatical similarity that all four words are comparatives and ignore the difference in meaning. Another mistake is to search for complex relationships between the words when a simple classification by attribute is sufficient. To avoid these issues, always ask what specific quality each comparative is measuring, such as size, speed, weight or height. Final Answer: The comparative adjective that refers to speed rather than size and is therefore the odd one out is Faster.

Question 8

In the letter sequences AEIM, BFJN, CGKO and FDKN, find the odd sequence based on regular jumps in the alphabet.

Accepted Answer

Introduction / Context: This is an alphabet series odd one out question, where each option is a group of four letters. Most groups are constructed using a regular jump in the alphabet. You have to identify the one group that does not follow the same consistent step pattern. Such problems test your ability to convert letters to numbers and detect arithmetic patterns quickly. Given Data / Assumptions: The letter groups given are AEIM, BFJN, CGKO and FDKN. Each group contains four letters arranged in a specific order. We use the standard mapping A = 1, B = 2, C = 3, and so on up to Z = 26. We assume that the pattern, if any, is formed by equal increments in alphabetical positions. Concept / Approach: A common construction in alphabet series questions is to take a starting letter and then add a fixed number of positions repeatedly to get the next letters. Here we look at each group and check whether consecutive letters are separated by the same fixed jump. If three groups show a step of plus 4 between consecutive letters and one group does not, that inconsistent group is the odd one out. Converting letters to numbers allows us to see this clearly. Step-by-Step Solution: Step 1: For AEIM, the letters are A, E, I and M. Their positions are 1, 5, 9 and 13. The differences are 5 - 1 = 4, 9 - 5 = 4 and 13 - 9 = 4. So this group uses a constant step of +4. Step 2: For BFJN, the letters are B, F, J and N. Their positions are 2, 6, 10 and 14. The differences are 6 - 2 = 4, 10 - 6 = 4 and 14 - 10 = 4. This group also uses a constant step of +4. Step 3: For CGKO, the letters are C, G, K and O. Their positions are 3, 7, 11 and 15. The differences are 7 - 3 = 4, 11 - 7 = 4 and 15 - 11 = 4, again a constant step of +4. Step 4: For FDKN, the letters are F, D, K and N. Their positions are 6, 4, 11 and 14. The moves are 4 - 6 = -2, then 11 - 4 = 7 and 14 - 11 = 3. These jumps are -2, +7 and +3, which do not match the regular +4 pattern. Step 5: Since AEIM, BFJN and CGKO all follow the same simple rule of adding four positions each time, and FDKN does not, FDKN is the odd sequence. Verification / Alternative check: As a quick check, you can write the alphabet in a row and verify that in AEIM you skip three letters between each pair, which corresponds to a four step move. The same skipping pattern appears in BFJN and CGKO, but in FDKN the letters jump backward and forward irregularly, confirming that it is different. No simple arithmetic adjustment can turn the sequence of FDKN into a constant step pattern similar to the other three groups. Why Other Options Are Wrong: AEIM is not the odd group because it consistently uses a +4 step between letters. BFJN is not the odd group because it also follows the same +4 step pattern. CGKO is not the odd group because it again uses a constant jump of four positions in the alphabet. FDKN is the odd group because its sequence of letter positions does not follow a constant step and instead has irregular jumps. Common Pitfalls: One common mistake is to look for a pattern based on the shapes of letters rather than their positions in the alphabet. Another pitfall is to notice only one or two of the jumps in a group and conclude a pattern without checking all differences carefully. To solve such questions reliably, always convert letters to numbers and compute each step explicitly before deciding which sequence breaks the rule. Final Answer: The letter sequence that does not follow the constant +4 alphabetical step and is therefore the odd one out is FDKN.

Question 9

In the number pairs 140 → 45, 110 → 35, 100 → 30 and 80 → 25, identify the odd pair based on the final digit of the second number.

Accepted Answer

Introduction / Context: This odd one out question uses number pairs where the second number follows a simple pattern in its last digit. Instead of a complicated arithmetic rule, the question can be solved by observing the units place of the second number in each pair. Such problems are designed to test quick visual recognition of patterns and basic number properties rather than lengthy calculations. Given Data / Assumptions: The four number pairs are 140 → 45, 110 → 35, 100 → 30 and 80 → 25. In each pair, the first number is mapped to a second number by an unstated rule. We focus on the second numbers 45, 35, 30 and 25. We look specifically at the units digit of these second numbers to detect a pattern. Concept / Approach: A simple but effective approach is to check whether the second numbers share a common units digit or a small set of allowed digits. In this question, three of the second numbers end in the digit 5, while one of them ends in 0. This difference in the units place gives a clear and fast rule for identifying the odd pair. Such pattern based reasoning is often used in aptitude tests to reward careful observation over heavy arithmetic. Step-by-Step Solution: Step 1: Look at the second number in the first pair, 45. Its units digit is 5. Step 2: For the second pair, 110 → 35, the second number is 35 and its units digit is also 5. Step 3: For the fourth pair, 80 → 25, the second number is 25 and its units digit is again 5. Step 4: For the third pair, 100 → 30, the second number is 30 and its units digit is 0, not 5. Step 5: Therefore, three of the second numbers end with 5, while only one ends with 0. Step 6: The pair whose second number does not end with the digit 5 is 100 → 30, so this pair is the odd one out. Verification / Alternative check: As a quick verification, write the second numbers vertically: 45, 35, 30 and 25, and inspect their last digits. You will immediately see 5, 5, 0 and 5, where only one number has a different units digit. No further arithmetic is necessary, and there is no alternative simple rule that separates one of the other pairs as clearly as this units digit rule does. Why Other Options Are Wrong: 140 → 45 is not the odd pair because 45 ends with 5, matching the pattern of most second numbers. 110 → 35 is not the odd pair because 35 also ends with 5. 80 → 25 is not the odd pair because 25 again ends with 5. 100 → 30 is the odd pair because its second number ends with 0 instead of 5. Common Pitfalls: Many learners initially try to connect the first and second numbers by complex operations such as multiplication, division or ratios and may overlook the simple units digit pattern. Another pitfall is to treat the arrow as implying a special algebraic formula, when the exam actually tests observation rather than heavy calculation. To avoid wasting time, always check for simple properties such as parity, last digit or divisibility before exploring more complicated patterns. Final Answer: The pair whose second number does not end with the digit 5 and is therefore the odd one out is 100 → 30.

Question 10

From the pairs Hard:Soft, Hot:Cold, Right:Wrong and Come:Arrive, identify the odd pair based on antonym and synonym relationships.

Accepted Answer

Introduction / Context: This is a verbal reasoning question involving relationships between words. Each option contains a pair of words, and you are asked to find the pair that does not belong with the others. Three pairs are made of opposites, that is antonyms, while one pair consists of words with similar meanings, that is synonyms. Recognizing these relationships is an important part of vocabulary based aptitude questions. Given Data / Assumptions: The given pairs are Hard:Soft, Hot:Cold, Right:Wrong and Come:Arrive. We assume standard dictionary meanings of these English words. We identify whether each pair is made up of antonyms or synonyms. We then select the pair that has a different type of relationship from the others. Concept / Approach: The key concept is the distinction between antonyms and synonyms. Antonyms are words with opposite meanings, such as hot and cold. Synonyms are words with similar meanings, such as arrive and come. In this set, three pairs clearly express opposite qualities, while one pair expresses roughly the same idea. The synonym pair therefore becomes the odd one out. Focusing on meaning rather than word form is crucial to solve this quickly. Step-by-Step Solution: Step 1: Hard and Soft are opposites in terms of physical texture or firmness. Something can be hard like stone or soft like cotton. Step 2: Hot and Cold are direct opposites in terms of temperature. If water is hot, it is not cold, and if it is cold, it is not hot. Step 3: Right and Wrong are opposite concepts related to correctness or morality. A correct answer is right, and an incorrect one is wrong. Step 4: Come and Arrive both describe movement toward a place. Arrive is often used when you reach a destination, while come also expresses movement toward the speaker or a point. They therefore have very similar meanings. Step 5: The first three pairs clearly consist of antonyms, and the last pair consists of near synonyms. Step 6: Hence, Come:Arrive is the pair whose relationship differs from the others and is the odd one out. Verification / Alternative check: As a quick check, replace each pair with the phrase opposite of. Hard is the opposite of soft, hot is the opposite of cold and right is the opposite of wrong, and all of these statements are true. If you try the same with come and arrive, saying come is the opposite of arrive, the statement is clearly false, which confirms that they are not antonyms. You can also see that in many sentences, come and arrive could be used in similar contexts, supporting their synonym like relationship. Why Other Options Are Wrong: Hard:Soft is not the odd pair because the words are clear antonyms. Hot:Cold is not the odd pair because these words are also direct opposites. Right:Wrong is not the odd pair because they represent opposite ideas about correctness. Come:Arrive is the odd pair because these words share a similar meaning instead of being opposites. Common Pitfalls: One common mistake is to note that come and arrive differ slightly in usage and therefore treat them as unrelated, missing their broadly similar meaning. Another pitfall is to focus on grammatical similarity, since all words are verbs or adjectives, and ignore the key difference in semantic relationship. To handle such questions, always ask whether the words in each pair pull in opposite directions or point to nearly the same idea. Final Answer: The pair that is not an antonym pair and is therefore the odd one out is Come:Arrive.

Question 11

In the letter pairs AG, WA, ET and IQ, find the odd pair based on the sum of the alphabetical positions of the letters.

Accepted Answer

Introduction / Context: This odd one out item uses pairs of letters to hide a simple numeric pattern. By converting letters to their positions in the English alphabet and adding these positions, we can reveal a rule that three pairs follow and one pair breaks. Such questions are common in verbal and logical reasoning tests and require both observation and a basic understanding of alphabet positions. Given Data / Assumptions: The four letter pairs are AG, WA, ET and IQ. We use the standard mapping A = 1, B = 2, C = 3, and so on up to Z = 26. We compute the sum of the positions of both letters in each pair. We look for a pattern that is common to three pairs and absent in one pair. Concept / Approach: A straightforward strategy is to convert each letter to its numeric position and then calculate the sum. Sometimes the sums form a simple sequence, such as consecutive numbers, or share a common property like being all even or all odd. Here, three pairs produce sums that are consecutive integers, while one pair gives a sum that does not fit that sequence. The pair with the non matching sum is the odd one out. Step-by-Step Solution: Step 1: For AG, A = 1 and G = 7, so the sum is 1 + 7 = 8. Step 2: For WA, W = 23 and A = 1, so the sum is 23 + 1 = 24. Step 3: For ET, E = 5 and T = 20, so the sum is 5 + 20 = 25. Step 4: For IQ, I = 9 and Q = 17, so the sum is 9 + 17 = 26. Step 5: Now compare the sums: AG gives 8, WA gives 24, ET gives 25 and IQ gives 26. Step 6: The sums 24, 25 and 26 are three consecutive integers, forming a neat sequence, while 8 is far away from this range. Step 7: Therefore, AG is the pair whose letter position sum does not fit into the consecutive sequence 24, 25, 26 and so it is the odd one out. Verification / Alternative check: As a quick verification, write only the sums in numeric order: 8, 24, 25 and 26. You can clearly see a block of three consecutive numbers 24, 25, 26 and a single value 8 that stands apart. There is no way to reorder the pairs to make AG fit into the same consecutive pattern as the other three, which confirms that AG is the intended odd pair. Why Other Options Are Wrong: WA is not the odd pair because the sum of its letter positions, 24, lies in the consecutive block 24, 25, 26. ET is not the odd pair because its sum of positions, 25, continues the consecutive sequence. IQ is not the odd pair because its sum, 26, completes the consecutive run 24, 25, 26. AG is the odd pair because its sum, 8, is far outside this consecutive group and does not share the same pattern. Common Pitfalls: Learners sometimes focus on the distance between the two letters in each pair, such as the difference in positions, and miss the simpler sum pattern. Another pitfall is to look for complex coding schemes when a basic arithmetic approach is enough. To avoid such mistakes, always try both the difference and the sum of letter positions when dealing with alphabet based reasoning questions. Final Answer: The letter pair whose position sum does not belong to the consecutive sequence 24, 25, 26 and is therefore the odd one out is AG.

Question 12

In the number pairs 14, 12; 24, 7; 42, 4 and 37, 4, find the odd pair based on whether the second number is prime or composite.

Accepted Answer

Introduction / Context: This odd one out question involves number pairs where the key lies in recognizing whether the second number in each pair is prime or composite. Rather than complex operations linking the two numbers, the pattern is based on a simple property of the second number. Such questions appear in aptitude tests to evaluate knowledge of basic number theory ideas along with pattern recognition skills. Given Data / Assumptions: The number pairs are 14, 12; 24, 7; 42, 4 and 37, 4. We focus on the nature of the second number in each pair. A prime number is a natural number greater than 1 that has exactly two distinct positive divisors, 1 and itself. A composite number has more than two positive divisors. Concept / Approach: The key concept is to classify the second number of each pair as prime or composite. If three of the second numbers are composite and one is prime, then the pair with the prime second number is the odd one out. This approach is much simpler and more reliable than attempting to relate the first and second numbers through complex formulas. Checking primality for small integers is quick and ideal for exam conditions. Step-by-Step Solution: Step 1: Look at the pair 14, 12. The second number is 12. Its factors include 1, 2, 3, 4, 6 and 12, which means it has more than two divisors and is a composite number. Step 2: Look at the pair 24, 7. The second number is 7. Its only positive divisors are 1 and 7, so it is a prime number. Step 3: Look at the pair 42, 4. The second number is 4. Its positive divisors are 1, 2 and 4, so it has more than two divisors and is composite. Step 4: Look at the pair 37, 4. Again the second number is 4, which we already identified as a composite number. Step 5: Summarize the classification of the second numbers: 12 is composite, 7 is prime, 4 is composite and 4 is composite. Step 6: Three pairs have a composite second number, while one pair has a prime second number. The pair with the prime second number is the odd one out. Step 7: Therefore, the pair 24, 7 is the odd pair in this set. Verification / Alternative check: As a verification, list the second numbers only: 12, 7, 4 and 4, then mark which are prime. Only 7 qualifies as a prime number, because it has no divisors other than 1 and 7. The numbers 12 and 4 both have multiple divisors and are clearly composite. Since the odd one out must be unique, the pair containing 7 as the second number is clearly intended as the different one. Why Other Options Are Wrong: 14, 12 is not the odd pair because the second number 12 is composite, just like 4 in the other composite pairs. 42, 4 is not the odd pair because the second number 4 is composite. 37, 4 is not the odd pair because its second number is again the composite number 4. 24, 7 is the odd pair because its second number 7 is the only prime among the second numbers. Common Pitfalls: A frequent mistake is to try to relate each first number to its second using operations such as subtraction, division or ratios, which can be time consuming and may not reveal any clear rule. Another pitfall is to misidentify 1 or small numbers as primes without checking the definition carefully. To avoid errors, recall that primes greater than 5 usually end in 1, 3, 7 or 9, and always verify the number of divisors when you are unsure. Final Answer: The pair whose second number is prime whereas the others have composite second numbers, and which is therefore the odd one out, is 24, 7.

Question 13

From Rupee, Pound, Yen and Currency, identify the odd term that is not a specific national currency unit.

Accepted Answer

Introduction / Context: This question checks your basic general knowledge of money and currency terms. You are given four words and asked to pick the one that does not belong to the same category. Three of them are names of specific national currencies, while one is a general term that refers to money in a broad sense. Such classification questions help test both vocabulary and awareness of everyday financial concepts. Given Data / Assumptions: The words provided are Rupee, Pound, Yen and Currency. Rupee, Pound and Yen are all names of standard units of money used in particular countries. Currency is a generic term that can refer to any national monetary unit. We assume basic knowledge that Rupee is used in countries such as India, Pound in the United Kingdom and Yen in Japan. Concept / Approach: The core idea is to distinguish between specific and general terms. Rupee, Pound and Yen are specific names for the money used within particular countries. Currency, on the other hand, does not name a specific unit. Instead, it is a category label that refers to money systems in general. In an odd one out question, the generic term stands apart from the three specific currency names and therefore becomes the correct choice. Step-by-Step Solution: Step 1: Rupee is the official name of the currency used in several countries, including India, Pakistan, Sri Lanka and others. Step 2: Pound is a specific currency name used in the United Kingdom and some other places, such as the Pound Sterling. Step 3: Yen is the standard currency of Japan, again a clearly defined national monetary unit. Step 4: Currency is a general term that means the system of money used in a country, without specifying which particular unit such as Rupee, Pound or Yen. Step 5: The first three words are individual currency names, while Currency names the broader concept. Step 6: Therefore, Currency does not belong to the same specific category and is the odd one out. Verification / Alternative check: To verify, you can ask a question such as what is the currency of Japan and the answer would be Yen, which is a specific name. Similarly, what is the currency of India results in the answer Rupee, and what is the currency used in the United Kingdom leads to Pound. However, if you ask what is the currency, you need to specify a country, because the word Currency itself is not the name of a particular unit but the general term for money. Why Other Options Are Wrong: Rupee is not the odd word because it is a specific currency unit used in certain countries. Pound is not the odd word because it also names a distinct national currency. Yen is not the odd word because it is again the name of a particular currency used in Japan. Currency is the odd word because it is a generic term that refers to money systems in general, not to a specific national unit. Common Pitfalls: One common mistake is to think that Currency belongs with the others simply because all the words are somehow related to money. Another pitfall is to overlook the difference between a category label and a member of that category. To solve such questions correctly, always ask whether each word names a concrete example or a general concept. Final Answer: The term that is not the name of a specific national money unit and is therefore the odd one out is Currency.

Question 14

In the pairs 43-6, 28-4, 50-7 and 36-5, identify the odd pair based on whether the second number is a factor of the first.

Accepted Answer

Introduction / Context: This odd one out question uses pairs of numbers where the hidden pattern is based on divisibility. In particular, we check whether the second number divides the first number exactly. Divisibility and factors are core concepts in number theory and are frequently used to build quick reasoning questions in competitive exams. Given Data / Assumptions: The number pairs given are 43-6, 28-4, 50-7 and 36-5. Each pair is written as first number dash second number. We assume the dash is just a separator and does not indicate subtraction. We check whether the second number is a factor of the first number in each pair. Concept / Approach: A factor of a number is an integer that divides that number exactly without leaving any remainder. To identify the odd pair, we can test each pair to see whether the first number is divisible by the second number. If exactly one pair has the property first number divisible by second number, while the others do not, that pair becomes the odd one out. This method is quick, systematic and well suited to this type of puzzle. Step-by-Step Solution: Step 1: For the pair 43-6, check 43 ÷ 6. The result is not an integer and leaves a remainder, so 6 is not a factor of 43. Step 2: For the pair 28-4, check 28 ÷ 4. The result is exactly 7 with no remainder, so 4 is a factor of 28. Step 3: For the pair 50-7, check 50 ÷ 7. The result is not an integer and has a remainder, so 7 is not a factor of 50. Step 4: For the pair 36-5, check 36 ÷ 5. The result is again not an integer and leaves a remainder, so 5 is not a factor of 36. Step 5: Summarize the findings: only in the pair 28-4 does the second number divide the first number exactly. Step 6: Therefore, 28-4 is the unique pair with a factor relationship and hence is the odd one out. Verification / Alternative check: As a quick verification, list the pairs and mark which second numbers are factors of their first numbers. Only 4 divides 28 exactly, while 6 does not divide 43, 7 does not divide 50 and 5 does not divide 36 without remainders. No other simple property, such as parity of the numbers or sum of digits, produces such a clean separation of one pair from the rest. Why Other Options Are Wrong: 43-6 is not the odd pair because the second number 6 is not a factor of 43, which is similar to most other pairs. 50-7 is not the odd pair because 7 is not a factor of 50. 36-5 is not the odd pair because 5 is not a factor of 36. 28-4 is the odd pair because 4 divides 28 exactly, making this pair different in factor relationship. Common Pitfalls: One common mistake is to interpret the dash as subtraction and look at differences instead of divisibility, which can lead to confusion. Another pitfall is to attempt complicated operations such as ratios or averages instead of checking simple divisibility first. To handle such questions efficiently, always test for basic factor and multiple relationships between numbers in a pair. Final Answer: The pair in which the second number is a factor of the first, and which is therefore the odd one out, is 28-4.

Question 15

From Meter, Kilometre, Decimetre and Ammeter, find the odd term that is not a unit of length.

Accepted Answer

Introduction / Context: This question falls under basic science and vocabulary reasoning. You are asked to find which term among the four does not represent a unit related to length measurement. Three of the options are metric units of length, while one is a scientific instrument used for a different purpose. Identifying the odd one out here checks your familiarity with common measurement terms from physics and daily life. Given Data / Assumptions: The terms provided are Meter, Kilometre, Decimetre and Ammeter. Meter, Kilometre and Decimetre belong to the metric system of units. Ammeter is an instrument used in electrical measurements. We assume standard physics definitions of these units and instruments. Concept / Approach: The central idea is to classify each term by what it measures or represents. Meter, Kilometre and Decimetre are units for measuring length or distance. Ammeter is not a unit but a device that measures electric current in amperes. Therefore, Ammeter belongs to a different category and is the odd one out. Recognizing the difference between units and instruments is a common theme in reasoning questions. Step-by-Step Solution: Step 1: Meter is the base unit of length in the International System of Units and is used to measure distances in everyday and scientific contexts. Step 2: Kilometre is a larger unit of length equal to 1000 meters and is commonly used to measure road distances between cities or locations. Step 3: Decimetre is a smaller unit of length equal to one tenth of a meter, used in certain scientific and educational contexts. Step 4: Ammeter is an electrical measuring instrument that is connected in series in a circuit to measure the current flowing, expressed in amperes. Step 5: The first three terms are all units that specify how long something is, while the fourth term is a device that measures a different quantity, namely electric current. Step 6: Therefore, Ammeter does not fit the category of length units and is the odd one out. Verification / Alternative check: As a quick check, you can ask what are the standard units of length in the metric system and will naturally list Meter, Kilometre and Decimetre among them. If you ask what instrument is used to measure electric current in a circuit, the answer is Ammeter, which confirms that it is an instrument, not a unit of length. This clearly separates Ammeter from the other three terms, with no overlap in the type of quantity involved. Why Other Options Are Wrong: Meter is not the odd term because it is a fundamental unit of length. Kilometre is not the odd term because it is also a standard unit for measuring large distances. Decimetre is not the odd term because it remains within the family of metric length units. Ammeter is the odd term because it is an instrument used to measure electric current, not a unit of length. Common Pitfalls: Some learners may focus on the spelling similarity between Meter and Ammeter and assume that both must be units of length. Another pitfall is to treat all scientific sounding words as units without noticing that some are devices. To avoid such errors, always ask whether the word names a quantity unit or a measuring device, especially in physics related reasoning questions. Final Answer: The term that is not a metric unit of length and is therefore the odd one out is Ammeter.

Question 16

In the letter pairs HP, CJ, FN and RZ, identify the odd pair based on the fixed alphabetical gap between the letters.

Accepted Answer

Introduction / Context: This question belongs to the alphabet coding and reasoning category. Each option is a pair of letters, and the task is to find which pair does not follow the same pattern in terms of alphabetic positions. Specifically, we look at the fixed gap between the two letters in each pair. Such questions are common in reasoning sections of competitive exams and help train the ability to map letters to numbers and observe regular steps. Given Data / Assumptions: The given letter pairs are HP, CJ, FN and RZ. We use the usual alphabet positions: A = 1, B = 2, C = 3, up to Z = 26. We compute the difference in position between the second letter and the first letter in each pair. We are looking for a common gap value that three pairs share, while one pair has a different gap. Concept / Approach: The strategy is to convert letters into numbers, then subtract the position of the first letter from the position of the second letter. If three pairs show the same difference, such as plus 8, and the fourth pair shows a different difference, then the fourth pair is the odd one out. This numerical viewpoint simplifies what can otherwise look like arbitrary letter pairs. Step-by-Step Solution: Step 1: For HP, H is the 8th letter and P is the 16th letter of the alphabet. The difference is 16 - 8 = 8. Step 2: For FN, F is the 6th letter and N is the 14th letter. The difference is 14 - 6 = 8. Step 3: For RZ, R is the 18th letter and Z is the 26th letter. The difference is 26 - 18 = 8. Step 4: For CJ, C is the 3rd letter and J is the 10th letter. The difference is 10 - 3 = 7. Step 5: We observe that HP, FN and RZ all have a gap of 8 positions between their letters, while CJ has a gap of 7 positions. Step 6: Therefore, CJ does not follow the same fixed gap rule and is the odd pair in this set. Verification / Alternative check: Write the alphabet and count manually from the first letter to the second in each pair to confirm the gaps. In HP, FN and RZ, there are seven letters in between, making a movement of eight positions, while between C and J there are only six letters in between, corresponding to a movement of seven positions. Since the difference for CJ cannot be adjusted to match the consistent gap of 8 seen in the other three pairs, the classification is robust. Why Other Options Are Wrong: HP is not the odd pair because its letters are separated by 8 positions. FN is not the odd pair because its letters are again separated by 8 positions. RZ is not the odd pair because it also maintains the gap of 8 between letters. CJ is the odd pair because its letters are separated by a gap of 7 instead of 8. Common Pitfalls: Some learners may try to focus on the shapes or sounds of the letters rather than their exact positions, which does not help in this numeric pattern. Another common mistake is inaccurate counting between letters, especially when near the end of the alphabet. To avoid such errors, always use the numeric positions explicitly and perform the subtraction carefully for each pair. Final Answer: The letter pair that does not have a gap of 8 between its letters and is therefore the odd one out is CJ.

Question 17

In the pairs 52-61, 72-81, 54-63 and 33-41, find the odd pair based on the constant difference between the numbers.

Accepted Answer

Introduction / Context: This numerical odd one out question focuses on the difference between the two numbers in each pair. Many exam questions of this type are based on a constant difference or ratio. By computing the difference for each pair, we can see which pair does not follow the same rule and hence stands out as the odd one. Given Data / Assumptions: The pairs given are 52-61, 72-81, 54-63 and 33-41. The dash is treated as a separator between the first and the second number. We compute the absolute difference between the two numbers in each pair. We then compare these differences to identify any consistent pattern. Concept / Approach: A simple but powerful approach for such questions is to calculate the difference between the two numbers in each pair. If three pairs share the same difference and one pair has a different difference, the pair that breaks the pattern is the odd one out. This method is quick and relies only on basic subtraction, making it ideal for time bound tests. Step-by-Step Solution: Step 1: For 52-61, the absolute difference is |52 - 61| = 9. Step 2: For 72-81, the absolute difference is |72 - 81| = 9. Step 3: For 54-63, the absolute difference is |54 - 63| = 9. Step 4: For 33-41, the absolute difference is |33 - 41| = 8. Step 5: Three pairs have a constant difference of 9, whereas one pair has a difference of 8. Step 6: Therefore, 33-41 does not follow the same constant difference rule as the others and is the odd pair. Verification / Alternative check: To verify, quickly recompute the differences: 61 minus 52 is 9, 81 minus 72 is 9 and 63 minus 54 is 9. Then check 41 minus 33, which is 8. This clearly breaks the otherwise consistent pattern of 9. No alternative simple property, such as sums or ratios, produces a cleaner three versus one distinction than these differences do. Why Other Options Are Wrong: 52-61 is not the odd pair because its difference is 9, matching the main pattern. 72-81 is not the odd pair because its difference is also 9. 54-63 is not the odd pair because it continues the difference of 9. 33-41 is the odd pair because its difference is 8 instead of 9. Common Pitfalls: Some learners may attempt to find relationships between the digits of each number instead of checking the simple difference across pairs. Another pitfall is to perform subtraction incorrectly under time pressure, leading to a wrong identification of the odd pair. To avoid these pitfalls, always compute differences carefully and double check when you expect a constant pattern. Final Answer: The pair whose numbers do not differ by 9 and which is therefore the odd one out is 33-41.

Question 18

From Tabla, Tanpura, Sarod and Sitar, identify the odd musical instrument based on its type.

Accepted Answer

Introduction / Context: This question checks basic knowledge of Indian musical instruments and categorizes them by type. You are asked to find which instrument among the four does not belong with the others. Three are string instruments, while one is a percussion instrument. Understanding such classifications is useful in general awareness and reasoning sections of competitive exams. Given Data / Assumptions: The instruments listed are Tabla, Tanpura, Sarod and Sitar. Tanpura, Sarod and Sitar are well known Indian string instruments. Tabla is a famous Indian percussion instrument. We classify each instrument as either a string instrument or a percussion instrument. Concept / Approach: The central idea is to identify the family of musical instruments to which each option belongs. String instruments produce sound through vibrating strings that are plucked or bowed. Percussion instruments produce sound by being struck, tapped or beaten. In this question, three instruments belong to the string family, and one belongs to the percussion family. The one from a different family is the odd one out. Step-by-Step Solution: Step 1: Tabla is a pair of hand drums widely used in Indian classical and popular music. Sound is produced by striking the drum surfaces with hands and fingers, so it is a percussion instrument. Step 2: Tanpura is a long necked string instrument that provides a continuous drone background in Indian classical music. The strings are plucked gently during performance. Step 3: Sarod is a fretless string instrument used in Indian classical music, played by plucking the strings with a plectrum while pressing them along a metal fingerboard. Step 4: Sitar is another famous Indian string instrument with a long neck and many strings, some for melody and some for resonance, played by plucking. Step 5: Tanpura, Sarod and Sitar all produce sound through vibrating strings and are clearly string instruments. Step 6: Tabla, on the other hand, produces sound through struck drum heads and belongs to the percussion family. Step 7: Therefore, Tabla does not fit the string instrument category and is the odd one out. Verification / Alternative check: You can verify by asking how each instrument is played. Tanpura, Sarod and Sitar are plucked with fingers or a plectrum, which confirms their string nature. Tabla is played by striking, which is characteristic of percussion instruments. There is no way to classify Tabla as a string instrument, so the distinction is clear and unambiguous. Why Other Options Are Wrong: Tanpura is not the odd instrument because it is a string instrument, just like Sarod and Sitar. Sarod is not the odd instrument because it belongs to the same string family as Tanpura and Sitar. Sitar is not the odd instrument because it is also a string instrument. Tabla is the odd instrument because it is a percussion instrument, not a string instrument. Common Pitfalls: A common mistake is to treat all classical Indian instruments as belonging to a single group without considering their method of sound production. Another pitfall is to be misled by the fact that all four instruments are often used together in classical music settings. To avoid such errors, always classify instruments by how they create sound, such as through strings, air columns or percussion surfaces. Final Answer: The instrument that is not a string instrument and is therefore the odd one out is Tabla.

Question 19

In the letter groups CBED, JILK, TSVU and VZXY, find the odd group based on a repeating alphabetic pattern.

Accepted Answer

Introduction / Context: This question is from the alphabet series and coding category. Each option is a group of four letters, and there is a specific positional pattern inside three of the groups. One group breaks this pattern and must be identified as the odd one out. Recognizing these structural patterns is important for solving many reasoning questions efficiently. Given Data / Assumptions: The letter groups given are CBED, JILK, TSVU and VZXY. Each group consists of four letters arranged in a specific order. We map letters to their alphabet positions: A = 1, B = 2, and so on up to Z = 26. We compare the numeric patterns within each four letter group. Concept / Approach: In such questions, it is often helpful to represent the pattern in terms of a general form. For three of the groups here, the letter positions follow the form x, x - 1, x + 2, x + 1. If three options can be written in this way for some starting value x, and one option cannot, then the one that fails this pattern is the odd one out. Converting to numeric positions makes this much easier to see. Step-by-Step Solution: Step 1: For CBED, the positions are C = 3, B = 2, E = 5 and D = 4. We can write this as 3, 2, 5, 4, which fits the form x, x - 1, x + 2, x + 1 with x = 3. Step 2: For JILK, the positions are J = 10, I = 9, L = 12 and K = 11. This is 10, 9, 12, 11, which again matches the form x, x - 1, x + 2, x + 1 with x = 10. Step 3: For TSVU, the positions are T = 20, S = 19, V = 22 and U = 21. This gives 20, 19, 22, 21, still fitting the same pattern with x = 20. Step 4: For VZXY, the positions are V = 22, Z = 26, X = 24 and Y = 25. This sequence is 22, 26, 24, 25. It does not match the form x, x - 1, x + 2, x + 1 for any single value of x. Step 5: In CBED, JILK and TSVU, the first pair of letters is in descending order, and the second pair is in descending order after a jump forward of two positions. Step 6: In VZXY, the letters do not follow that structured pattern and move irregularly. Step 7: Therefore, VZXY is the group that breaks the consistent pattern and is the odd one out. Verification / Alternative check: You can rewrite the first three groups as two mini pairs each: CB ED, JI LK and TS VU, where each pair is a consecutive descending pair in the alphabet. In CBED, C to B is a step back of one, and E to D is another step back of one. The same structure appears in JILK and TSVU. In VZXY, however, V to Z is a step forward, and X to Y is a step forward, which is different from the descending pairs pattern. Why Other Options Are Wrong: CBED is not the odd group because it can be expressed in the pattern x, x - 1, x + 2, x + 1. JILK is not the odd group because it follows the same numeric structure as CBED. TSVU is not the odd group because it also matches the pattern of a descending pair followed by another descending pair after a forward jump. VZXY is the odd group because it does not follow the same ordered pattern of positions as the other three groups. Common Pitfalls: One pitfall is to focus only on whether the letters appear near each other in the alphabet without checking the exact order and jumps. Another mistake is to examine only one or two groups and assume a pattern without confirming it across all options. To solve such questions reliably, always translate letters into numbers and test the pattern on all options before concluding. Final Answer: The letter group that does not follow the repeating pattern of x, x - 1, x + 2, x + 1 and is therefore the odd one out is VZXY.

Question 20

Among the numbers 132, 176, 279 and 352, identify the odd number based on divisibility by 11.

Accepted Answer

Introduction / Context: This odd one out question is based on divisibility rules and factors. You are given four numbers and asked to find which one does not share a common property with the others. In this case, the key is whether each number is divisible by 11. Recognizing divisibility patterns quickly is a valuable skill in quantitative aptitude tests. Given Data / Assumptions: The numbers provided are 132, 176, 279 and 352. We suspect that most numbers may be multiples of 11. We use basic divisibility tests and straightforward division for the small numbers involved. We aim to identify one number that is not divisible by 11 while the others are. Concept / Approach: The approach is to check divisibility by 11. A quick rule for divisibility by 11 is to compute the difference between the sum of digits in odd positions and the sum of digits in even positions. If this difference is a multiple of 11, including zero, the number is divisible by 11. Alternatively, for small numbers, direct division is also easy. If three numbers are multiples of 11 and one is not, the non multiple is the odd one out. Step-by-Step Solution: Step 1: Check 132. Dividing 132 by 11 gives 132 ÷ 11 = 12. Since the result is an integer, 132 is a multiple of 11. Step 2: Check 176. Dividing 176 by 11 gives 176 ÷ 11 = 16. This is an integer, so 176 is also a multiple of 11. Step 3: Check 352. Dividing 352 by 11 gives 352 ÷ 11 = 32. Since the result is an integer, 352 is a multiple of 11. Step 4: Check 279. Dividing 279 by 11, we get 11 * 25 = 275 with a remainder of 4. Thus 279 is not divisible by 11. Step 5: We can also apply the digit rule to 279. The sum of digits in odd positions from the right is 9 + 2 = 11, and the sum in even positions is 7. The difference is 11 - 7 = 4, which is not a multiple of 11, confirming that it is not divisible. Step 6: Therefore, 132, 176 and 352 are all multiples of 11, while 279 is not. Step 7: Hence, 279 is the odd number in the list. Verification / Alternative check: To verify, multiply 11 by 12, 16 and 32 to see that you get 132, 176 and 352 respectively. Then check 11 times 25 which is 275 and 11 times 26 which is 286. Neither equals 279, so there is no integer that multiplies 11 to give 279. This confirms that 279 alone is not a multiple of 11 among the given numbers. Why Other Options Are Wrong: 132 is not the odd number because it is divisible by 11. 176 is not the odd number because it is also divisible by 11. 352 is not the odd number because it too is a multiple of 11. 279 is the odd number because it is not divisible by 11, unlike the others. Common Pitfalls: Learners may sometimes try to look for patterns in the digits or prime factorization of all numbers without first checking simple divisibility rules. Another pitfall is to misapply the rule for divisibility by 11 by adding instead of subtracting the alternating digit sums. To avoid these issues, remember the correct rule and apply it systematically or perform direct division for small numbers. Final Answer: The number that is not a multiple of 11 and is therefore the odd one out is 279.

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