Question 1

In the pair of codes "HFZ : LJD :: KTM : ____", which option applies the same +4 letter shift?

Accepted Answer

Introduction / Context: This analogy deals with a fixed forward shift in the alphabet between a word and its coded form. In the pair "HFZ : LJD", each letter of HFZ is converted to the corresponding letter in LJD by moving forward in the alphabet by the same amount, wrapping around from Z to A if required. The task is to find, among the options, a pair that shows exactly the same type of transformation. Given Data / Assumptions: Model pair: HFZ coded as LJD. Options each contain a small pair of three letter groups. Alphabet positions: A = 1, B = 2, ..., Z = 26. The shift should be constant for all three letters within a pair. Concept / Approach: Find the shift in the model pair first. H is the 8th letter and L is the 12th. F is the 6th letter and J is the 10th. Z is the 26th letter and D is the 4th. Going from 8 to 12 is a change of plus 4. From 6 to 10 is also plus 4. When we add 4 to 26 (Z), we exceed 26, so we wrap around: 26 + 4 = 30, and 30 - 26 = 4, which is D. Thus the rule is: add 4 to each letter position, wrapping around after Z. Now we must find which option pair shows the same pattern. Step-by-Step Solution: Verify the model pair: H → L, F → J, Z → D, each with a +4 shift. Check option KTM : OXQ. K = 11, T = 20, M = 13. Add 4: 11 + 4 = 15 (O), 20 + 4 = 24 (X), 13 + 4 = 17 (Q). Observe that KTM becomes OXQ under a +4 shift. Confirm that other options do not show a uniform +4 shift for all letters. Verification / Alternative check: For KBN : LCO, K = 11 becomes L = 12 (+1), but B = 2 becomes C = 3 (+1), and N = 14 becomes O = 15 (+1). This is a +1 shift, not +4. For BHO : DJQ, B = 2 to D = 4 is +2, H = 8 to J = 10 is +2, and O = 15 to Q = 17 is +2, so this pair uses +2. FKU : INX has F = 6 to I = 9, which is +3, and so on. None of them use the consistent +4 shift that HFZ : LJD uses. Only KTM : OXQ matches the pattern exactly. Why Other Options Are Wrong: Each incorrect option uses a different constant shift or a mix of shifts that do not equal +4 for all letters. Since the model clearly applies +4 uniformly, any deviation from this transformation breaks the analogy. The question requires the same type and magnitude of shift, so all non matching pairs must be discarded. Common Pitfalls: Test takers sometimes only compare the first letter of each pair and assume the same shift holds for the rest without verification. Others confuse wrapping around the alphabet, especially when dealing with letters near the end like Z. The safest approach is to calculate the difference for each letter carefully and check consistency. Final Answer: The pair that follows the same +4 letter shift rule as HFZ : LJD is KTM : OXQ.

Question 2

In the profession analogy "Plane : pilot :: ship : ____", which person fills the second blank correctly?

Accepted Answer

Introduction / Context: This analogy connects vehicles with the people who operate or command them. In the pair "Plane : pilot", the second word names the professional who is in control of the plane during flight. You must extend this relationship to a ship and select the person who holds a similar command position on that vessel. Understanding job roles and their associated responsibilities is essential for solving such analogy questions. Given Data / Assumptions: A pilot is a trained person who flies and controls an aircraft. A ship is a large watercraft that requires a person in command for navigation and safety. The required pair is "vehicle : key operator or commander". Options list different roles and terms connected vaguely or directly with forces or travel. Concept / Approach: In the first pair, pilot is the professional directly responsible for operating the plane. We are not given co pilot or crew, but the main controlling position. For a ship, the equivalent role is the captain. The captain is in overall command of the vessel, responsible for navigation decisions, safety and crew management. Other terms in the options, such as soldier or major, belong more to army ranks. The word navy refers to an organisation, not an individual role. Therefore, captain best matches the pilot in terms of function and level of responsibility. Step-by-Step Solution: Recognise that the pattern is "vehicle : person who commands or operates it". Identify pilot as the operator in control of a plane. List possible commanding roles on a ship: captain, crew members and various officers. Note that captain is the standard term used for the person in overall command of a ship. Choose captain as the role that mirrors the relationship that pilot has with a plane. Verification / Alternative check: Examine the other options. Soldier is a general term for a member of the army, and major is an army rank, neither is specific to ships. Navy refers to a military branch that uses ships but is not a single person. Crew refers to the group of people working on board, not the individual in charge. Only captain is a specific rank that directly corresponds to the commanding person on a ship. Why Other Options Are Wrong: Soldier, navy and major do not describe the individual responsible for the navigation and direct command of a ship. Crew is a collective noun and does not match the single operator concept used for pilot. Since the analogy requires a one to one pairing between vehicle and operator role, these alternatives do not fit. Common Pitfalls: A frequent error is to pick a word that sounds associated with the sea or armed forces, like navy, without checking whether it describes a person or an organisation. Another mistake is to ignore the singular role focus and choose a group name like crew. When solving profession analogies, always check whether the candidate word matches both the function and the grammatical type of the example. Final Answer: The analogy is correctly completed as "Plane : pilot :: Ship : captain".

Question 3

In the letter analogy "DFI : ACF :: OQT : ____", which group of letters completes the -3 shift pattern?

Accepted Answer

Introduction / Context: This analogy is based on a constant backward shift in the alphabet. In the pair "DFI : ACF", each letter of the first group is moved backward by the same number of positions to form the second group. The task is to find the sequence of letters that results when the same operation is applied to OQT. These problems require comfort with alphabetical positions and consistent application of shifts. Given Data / Assumptions: First pair: DFI and ACF. Second group: OQT must be mapped to an unknown group using the same rule. Alphabet positions: A = 1, B = 2, ..., Z = 26. The shift is the same for all letters within a group. Concept / Approach: Write the positions of D, F and I. D is 4, F is 6 and I is 9. For A, C and F, positions are A = 1, C = 3 and F = 6. Subtract to find differences: 4 - 1 = 3, 6 - 3 = 3 and 9 - 6 = 3. Each letter has moved backward by three positions. Therefore, the rule is to subtract 3 from each letter position. Apply this same rule to OQT to determine the answer. Step-by-Step Solution: Convert O, Q and T into positions: O = 15, Q = 17 and T = 20. Subtract 3 from O: 15 - 3 = 12, which is L. Subtract 3 from Q: 17 - 3 = 14, which is N. Subtract 3 from T: 20 - 3 = 17, which is Q. Combine the resulting letters L, N and Q to form LNQ. Verification / Alternative check: Review the options. MNO would require a different pattern, since O would map to R, not N, under a minus 3 shift. MOR changes letters inconsistently. HJL and LPQ also do not come from subtracting 3 from each of O, Q and T. The only group that matches the exact minus 3 transformation is LNQ, which fits perfectly with the pattern established by DFI and ACF. Why Other Options Are Wrong: All other options would require different shifts or a mix of forward and backward moves to be derived from OQT. This breaks the simple and uniform minus 3 rule that clearly operates in the original pair. Analogy questions demand a single, consistent transformation, so these alternatives are not valid. Common Pitfalls: A common mistake is to see that D has gone to A and assume a minus 3 shift, but then forget to confirm that the same change happens with F and I. Others may remember the minus 3 correctly but miscount when moving from later letters such as Q and T. Writing down the alphabet with positions and subtracting carefully for each letter helps prevent these errors. Final Answer: Applying a minus 3 shift to each letter, OQT becomes LNQ, so the analogy is "DFI : ACF :: OQT : LNQ".

Question 4

In the number analogy "77 : 84 :: 121 : ____", which number follows the same multiplication pattern?

Accepted Answer

Introduction / Context: This number analogy examines how each number in a pair can be factored and then related to the second number using the same structure. In "77 : 84", the numbers can be expressed as products, and from these products a pattern emerges. You must uncover that pattern and apply it to 121 to identify the correct partner from the options. Factor based analogies are very common in quantitative reasoning. Given Data / Assumptions: First pair: 77 is related to 84. Second pair: 121 is related to an unknown number. Options: 132, 144, 88, 212 and 130. We expect a pattern based on factors rather than simple addition. Concept / Approach: Factorise 77. It can be written as 7 * 11. Now factorise 84. The simplest suitable factorisation here is 7 * 12. Observe that both numbers share the factor 7, while the second factor increases from 11 to 12, so the second number is obtained by keeping one factor constant and increasing the other by 1. Now consider 121. It equals 11 * 11, that is 11 squared. If we mirror the earlier pattern, we keep one factor 11 and increase the other factor by 1, which changes from 11 to 12. Hence the corresponding number should be 11 * 12 = 132. Step-by-Step Solution: Write 77 as a product: 77 = 7 * 11. Write 84 as a product that shares a factor: 84 = 7 * 12. Identify the pattern: maintain the first factor 7 and increase the second factor from 11 to 12. Express 121 as a product: 121 = 11 * 11. Apply the same pattern by keeping one 11 fixed and increasing the other from 11 to 12, giving 11 * 12 = 132. Verification / Alternative check: Calculate 11 * 12. The result is 132, which appears in the options. Now test other options. 144 is 12 * 12, which would correspond to increasing both factors instead of one. 88 equals 8 * 11, where the factors do not reflect the symmetrical starting point of 121. The number 212 does not arise from a simple single factor increment, and 130 does not fit any neat continuation of the 11 * 11 pattern. Therefore only 132 mirrors the operation used in the first pair. Why Other Options Are Wrong: Selecting 144, 88, 212 or 130 would imply a different rule from the one that produced 84 from 77. Because the original pair clearly demonstrates a pattern of keeping one factor common and increasing the other factor by 1, any number that ignores this structure fails to preserve the analogy. Common Pitfalls: A frequent error is to treat 77 and 84 as results of adding a fixed number, such as 77 + 7 = 84, and then try to add the same amount to 121. However, 121 + 7 = 128, which is not an option. Another mistake is to focus only on squares and choose 144 because it is 12 squared. Always examine factorisations to see if a shared structure is present first. Final Answer: Using the factor pattern, 77 = 7 * 11 changes to 84 = 7 * 12, and 121 = 11 * 11 changes to 132 = 11 * 12. So the analogy is "77 : 84 :: 121 : 132".

Question 5

In the subject analogy "Nephrology : kidney :: ichthyology : ____", which living group is studied in ichthyology?

Accepted Answer

Introduction / Context: This analogy tests your general knowledge of specialised branches of science and the subjects they study. Nephrology is a medical specialty that focuses on a particular organ of the human body. Ichthyology, on the other hand, is a branch of zoology. To complete the analogy correctly, you must know what nephrology studies and then match that relationship with ichthyology and its subject. Given Data / Assumptions: Nephrology is a branch of medicine. Nephrology focuses on kidneys and related diseases. Ichthyology is a sub discipline within zoology. Options include fish, soil, algae, insects and birds. Concept / Approach: The pair "Nephrology : kidney" tells us that the structure is "name of a specialised field : primary object of study". Nephrology deals with the kidneys, including their structure, function and diseases. Ichthyology uses the same pattern but within zoology. It is the scientific study of fishes, including their classification, biology, habitat and behaviour. Thus, we must pair ichthyology with fish to maintain the same type of relationship as in the first pair. Step-by-Step Solution: Recognise that nephrology is a medical specialisation focused on kidneys. Identify the pattern "field : what it studies". Recall from basic biology that ichthyology is the branch of zoology that studies fishes. Compare each option: fish are animals with gills, living mainly in water. Select fish as the object of study that matches ichthyology. Verification / Alternative check: Check the remaining options against common scientific branches. Soil is studied under disciplines like pedology and soil science. Algae are studied in phycology. Insects are studied in entomology. Birds are studied in ornithology. None of these fields uses the name ichthyology. Therefore, only fish align with the correct specialised term, ensuring that the analogy accurately mirrors the pattern of the first pair. Why Other Options Are Wrong: Although all other options are valid subjects in different branches of science, they do not correspond to ichthyology. Choosing any of them would mix up scientific terminology and break the one to one relationship between field name and primary subject. As a reasoning question, the analogy expects precise matching, not just any living organism. Common Pitfalls: Some candidates may confuse ichthyology with other biologically sounding terms and guess insects or algae. This usually happens when terms like entomology, phycology and ichthyology are not clearly distinguished in memory. Regular revision of these standard combinations is useful not only for reasoning sections but also for general knowledge segments in competitive exams. Final Answer: The correct completion is "Nephrology : kidney :: Ichthyology : fish".

Question 6

In the coding analogy "AGREE : FGPIB :: RULES : ____", which code word represents RULES using the same reverse and shift rule?

Accepted Answer

Introduction / Context: This analogy involves a more advanced letter coding pattern where a word is first reversed and then each letter is shifted by a specific amount in the alphabet. "AGREE" is coded as "FGPIB". You must identify the exact steps used in this coding process and then apply them to "RULES" to obtain the correct coded form from the options. This question tests both pattern recognition and multi step reasoning. Given Data / Assumptions: Original word: AGREE. Coded form: FGPIB. Second original word: RULES. Options provide five different five letter codes. Alphabet positions: A = 1, B = 2, ..., Z = 26. Concept / Approach: If we compare AGREE directly to FGPIB, the shifts do not form a simple constant pattern. Instead, consider reversing AGREE to get EERGA and then examining how that becomes FGPIB. Positions in the alphabet are E = 5, E = 5, R = 18, G = 7 and A = 1. The coded letters F, G, P, I and B have positions 6, 7, 16, 9 and 2. The differences between original and coded letters in the reversed word are +1, +2, -2, +2 and +1 respectively. So the rule is: reverse the word, then apply the shift pattern +1, +2, -2, +2 and +1 to successive letters. Step-by-Step Solution: Reverse AGREE to obtain EERGA and verify the shifts to get FGPIB: 5→6 (+1), 5→7 (+2), 18→16 (-2), 7→9 (+2), 1→2 (+1). Confirm the pattern of shifts as +1, +2, -2, +2 and +1 applied to the reversed word. Reverse RULES to obtain SELUR. Positions are S = 19, E = 5, L = 12, U = 21, R = 18. Apply the same shifts: 19 + 1 = 20 (T), 5 + 2 = 7 (G), 12 - 2 = 10 (J), 21 + 2 = 23 (W), 18 + 1 = 19 (S). Combine these coded letters to form TGJWS, then select this from the options. Verification / Alternative check: Check that no other option matches this precise pattern. TJGSU, TGJSU, THJUS and TSJUS differ in at least one position from TGJWS. For example, TGJSU would use S instead of W as the fourth letter, which would require a different shift for the fourth position. The entire strength of the pattern lies in consistent application of the sequence +1, +2, -2, +2 and +1 to the reversed word. Only TGJWS satisfies this rule completely. Why Other Options Are Wrong: Any code that deviates from the shift amounts or ignores the reversal step cannot correctly represent the transformation from RULES using the same rule as AGREE to FGPIB. The distractor options change some letters in ways that might look similar but do not preserve the exact position by position changes. As a result, they do not form a valid analogy. Common Pitfalls: A common mistake is to attempt a simple fixed shift on the original word without considering reversal, which leads to confusion when the pattern does not match. Another pitfall is to detect part of the shift sequence but assume that all shifts are positive. In this code, the third shift is negative, which is easy to overlook. Careful examination of each letter, in the correct order, is essential. Final Answer: Using the reverse and shift rule, RULES is coded as TGJWS, so the analogy is "AGREE : FGPIB :: RULES : TGJWS".

Question 7

Select the related group of letters from the given alternatives: if MUMBAI is coded as UMBMIA by swapping each pair of letters, how is GURUGRAM coded in the same pattern?

Accepted Answer

Introduction / Context: This question is a letter coding and analogy problem. You are told that the word MUMBAI is written as UMBMIA according to a particular rearrangement rule. You must carefully observe that rule and then apply the same pattern to the word GURUGRAM in order to select the correct coded form from the given options. Such questions test your ability to recognise positional patterns and consistent rearrangements in sequences of letters. Given Data / Assumptions: The original word in the example is MUMBAI. The coded form of MUMBAI is given as UMBMIA. The target word to be coded using the same rule is GURUGRAM. We assume that the letters themselves are not changed, only their positions are rearranged. Exactly one of the options must follow the same positional pattern that converts MUMBAI to UMBMIA. Concept / Approach: The key idea is that MUMBAI and UMBMIA contain the same letters, but arranged in a different order. The easiest way to discover the rule is to split MUMBAI into adjacent pairs of letters and compare each pair before and after coding. If a consistent rule emerges for each pair, we can then take GURUGRAM, split it into similar pairs, and apply the same pairwise transformation. This pair swapping idea is very common in reasoning questions on coding and decoding of words. Step-by-Step Solution: Step 1: Write MUMBAI with indices. M(1), U(2), M(3), B(4), A(5), I(6). Step 2: Form adjacent pairs from MUMBAI: MU, MB, AI. Step 3: Look at the coded word UMBMIA and group it into the same sized pairs: UM, BM, IA. Step 4: Observe that each pair has simply been reversed. MU becomes UM, MB becomes BM, and AI becomes IA. Therefore the rule is: take the word two letters at a time and swap the letters in each pair. Step 5: Now apply this rule to GURUGRAM. First write it as pairs: GU, RU, GR, AM. Step 6: Reverse each pair individually. GU becomes UG, RU becomes UR, GR becomes RG, and AM becomes MA. Step 7: Join the reversed pairs together: UG + UR + RG + MA equals UGURRGMA. Step 8: Compare this result with the answer options and identify UGURRGMA as option b. Verification / Alternative check: To confirm, check that no letters are lost or duplicated. GURUGRAM has letters G, U, R, U, G, R, A, M. The coded form UGURRGMA uses exactly the same letters, only in a different order, which matches the pair reversing logic. Also verify that if you reverse each pair in UGURRGMA again (UG, UR, RG, MA back to GU, RU, GR, AM), you recover the original word. This two way check confirms that the pattern is correct and consistently applied. Why Other Options Are Wrong: RUGUMARG rearranges pairs in a different order and does not come from simply swapping each adjacent pair. UGURGRMA breaks the structure of pairwise reversal and disturbs the grouping. UGRURGAM also does not match the reverse within each pair rule. None of these incorrect options can be produced by the simple and consistent pair swapping transformation used for MUMBAI, so they must be rejected. Common Pitfalls: A common mistake is to look for random symmetrical patterns, such as reversing the entire word or moving only the first and last letters, rather than checking simple local operations like swapping pairs. Another pitfall is not grouping the letters correctly and mixing letters from different pairs. Whenever you see a six or eight letter word in such coding questions, always try the pairwise swap pattern first because it often leads to a clean explanation. Final Answer: Following the same pair reversing rule used to code MUMBAI as UMBMIA, the word GURUGRAM is coded as UGURRGMA.

Question 8

Select the related number from the given alternatives: if 30 is related to 16 in a certain way, then 24 is related to which number?

Accepted Answer

Introduction / Context: This is a numerical analogy question where the pair 30 : 16 is given, and you must determine the number that should be paired with 24 in the same way. The task is to identify a simple, consistent arithmetic rule that converts 30 into 16 and then apply that rule to 24. Such questions test your ability to spot patterns in numbers quickly and accurately. Given Data / Assumptions: The first pair is 30 on the left and 16 on the right. The second pair starts with 24 and we must find the missing number. The options for the missing number are 14, 13, 20, and 25. We assume that the same arithmetic operation or combination of operations is applied to both 30 and 24. The pattern is expected to be simple enough for an aptitude test, such as division, addition, or a combination. Concept / Approach: A good first step is to check basic operations: half, double, add or subtract a constant. If we divide 30 by 2, we get 15, which is very close to 16. Adding 1 to this gives exactly 16. So a candidate rule is: take half of the given number and then add 1. We can test this rule on 30 and then apply it to 24. If the computed value matches one of the options, and no simpler competing rule explains the pair, we accept it as the pattern. Step-by-Step Solution: Step 1: Consider the first pair. Start with 30. Step 2: Divide 30 by 2. This gives 30 / 2 = 15. Step 3: Add 1 to this result. So 15 + 1 = 16, which matches the given right side of the pair. Step 4: Conclude that the working rule is: result = (given number / 2) + 1. Step 5: Now apply the same rule to 24. First compute 24 / 2 = 12. Step 6: Add 1 to this quotient. So 12 + 1 = 13. Step 7: Check the options and find that 13 is present as option b, so that is the correct answer. Verification / Alternative check: We can test for alternative rules, for example subtracting a constant or squaring and then adjusting, but none of those simple attempts give exactly 16 from 30 in a natural way. For instance, 30 minus 14 equals 16, but then 24 minus 14 equals 10, which is not one of the options. The rule (n / 2) + 1 is both simple and consistent, making it the most plausible pattern. Applying it to any other candidate number would not match the given pair, confirming that 13 is the only value that fits the analogy properly. Why Other Options Are Wrong: If we take 14, then doubling and subtracting or any similar simple operations do not lead us back to 30 in the first pair. The same is true for 20 and 25. None of these values can be produced by applying the rule (number / 2) + 1 to 24. Selecting any of them would break the consistency between the first and second pairs, which is not allowed in a well formed analogy question. Common Pitfalls: A common mistake is to try random operations like adding digits, squaring, or taking differences without first checking the simplest possibilities. Another pitfall is to assume multiplication or division by an arbitrary fraction that does not look natural. In exam situations, always try small integer operations such as half plus or minus one, or double plus or minus one, before moving to complex patterns. This strategy often quickly reveals the intended rule, as in this question. Final Answer: Using the rule result = (number / 2) + 1, 30 maps to 16 and 24 maps to 13, so the correct answer is 13.

Question 9

Select the related group of letters from the given alternatives: EFGH is to LNPR as ABCD is to which group of letters?

Accepted Answer

Introduction / Context: This question is a letter analogy based on positions in the English alphabet. The group EFGH is related to LNPR in a specific way, and you must find the group of letters that will have the same relationship with ABCD. Such problems test your understanding of alphabet positions and pattern recognition across several letters at once. Given Data / Assumptions: The first group is EFGH and its related group is LNPR. The second starting group is ABCD, and the related group is missing. The options are PQRS, HJLN, HIJK, and EFGH. We assume a fixed, deterministic alphabetic pattern is applied letter by letter from the first group to the second. The same pattern must then be applied from ABCD to one of the options. Concept / Approach: We convert each letter to its alphabet position: A as 1, B as 2, and so on up to Z as 26. Then we compare the positions of EFGH with LNPR. If there is a clear incremental pattern, such as adding a certain number to each letter, we can apply that same numerical transformation to ABCD. The aim is to see not only one shift, but the whole sequence of shifts from the first set to the second set of letters. Step-by-Step Solution: Step 1: Write the positions for EFGH. E is 5, F is 6, G is 7, and H is 8. Step 2: Write the positions for LNPR. L is 12, N is 14, P is 16, and R is 18. Step 3: Find the difference for each corresponding letter. From E(5) to L(12) is +7, from F(6) to N(14) is +8, from G(7) to P(16) is +9, and from H(8) to R(18) is +10. Step 4: Observe that the increments are increasing by one each time: +7, +8, +9, +10. Step 5: Now write the positions for ABCD. A is 1, B is 2, C is 3, and D is 4. Step 6: Apply the same increments. Add 7 to A: 1 + 7 = 8 (H). Add 8 to B: 2 + 8 = 10 (J). Add 9 to C: 3 + 9 = 12 (L). Add 10 to D: 4 + 10 = 14 (N). Step 7: Combine these letters to get HJLN and compare with the options. This matches option b exactly. Verification / Alternative check: Check that no other option can be obtained by applying the same set of increments. If we tried PQRS, HIJK, or EFGH, we would need different, inconsistent shifts from ABCD, which would no longer match the pattern taken from EFGH to LNPR. Also, if we reverse the process from HJLN by subtracting 7, 8, 9, and 10, we get back A, B, C, and D respectively. This two way check confirms that HJLN is the only group that satisfies the defined rule. Why Other Options Are Wrong: PQRS would require a constant shift that does not fit the varying increments seen in the original pair. HIJK is simply four consecutive letters and does not reflect the pattern of increasing shifts. EFGH repeats the original group and shows no transformation at all. None of these alternative options replicate the exact +7, +8, +9, +10 shift sequence discovered from the example pair. Common Pitfalls: A frequent error is to assume a constant shift for all letters, such as adding the same number to each position, because that pattern is common in simpler problems. Here, the shifts increase by one each time, which is slightly more complex. Carefully computing differences for each corresponding letter, rather than guessing, prevents such mistakes and quickly reveals the intended pattern. Final Answer: By applying the same pattern of increments used from EFGH to LNPR, the group ABCD corresponds to HJLN.

Question 10

Select the related pair of letters from the given alternatives: JS is to QH as VW is to which letter pair?

Accepted Answer

Introduction / Context: This is a letter pair analogy. The pair JS is related to QH using a positional relationship in the alphabet, and you must determine which option forms a similar relationship with the pair VW. The trick here is to look at how far apart the two letters of each pair are and how this difference changes from the first pair to the second pair in the analogy. Given Data / Assumptions: The first pair is JS and the related pair is QH. The second starting pair is VW and we must find its related pair. The answer options for the second pair are HM, PQ, JQ, and ED. Alphabet positions are taken as A = 1, B = 2, ..., Z = 26. We assume that a consistent relation between the first and second letters within each pair is mirrored across the analogy. Concept / Approach: Instead of only looking at the absolute positions of letters, we focus on the difference between the two letters in each pair. For JS, we compute the difference between S and J. For QH, we compute the difference between H and Q. The pattern turns out to be that the difference in the first pair is reversed in sign in the second pair. We then apply the same idea to VW to see which candidate pair has the opposite difference. Step-by-Step Solution: Step 1: Convert J and S to positions. J is 10 and S is 19. Step 2: Compute the difference within the first pair JS: 19 minus 10 equals +9. Step 3: Convert Q and H to positions. Q is 17 and H is 8. Step 4: Compute the difference within QH: 8 minus 17 equals -9. Step 5: Observe that the magnitude of the difference is the same (9), but the sign is reversed from +9 to -9. Step 6: Now consider the pair VW. V is 22 and W is 23, so the difference is 23 minus 22 = +1. Step 7: We need a new pair whose internal difference is -1 to mirror this pattern. Step 8: Check each option. For ED, E is 5 and D is 4. The difference is 4 minus 5 = -1, which matches the required reversed difference. Verification / Alternative check: Check that none of the other options have a difference of -1. For HM, the difference is 13 minus 8 = +5. For PQ, the difference is 17 minus 16 = +1. For JQ, the difference is 17 minus 10 = +7. Only ED gives -1 as required. Furthermore, we can summarise the pattern as: in the example, the second pair in the analogy has the same magnitude of difference as the first pair but with reversed direction. JS has +9, QH has -9. VW has +1, so its partner must have -1, which ED satisfies perfectly. Why Other Options Are Wrong: HM, PQ, and JQ all have positive internal differences, so they fail the sign reversal requirement. PQ even duplicates the +1 difference that exists in VW, but the rule demands that the difference be reversed, not repeated. Using any of these options would break the symmetry between the example pair and the new pair, so they cannot be correct under a strict analogy interpretation. Common Pitfalls: A typical mistake is to look for a direct shift in letter values from J to Q and from S to H, and then try to apply the same shifts to V and W. That approach leads to a different answer that does not appear among the options. When that happens, it is a sign that a different relation might be in play. Considering internal differences rather than cross pair shifts helps prevent this confusion and leads to the correct ED option. Final Answer: Because JS has an internal difference of +9 and QH has an internal difference of -9, VW with a difference of +1 must correspond to a pair with an internal difference of -1, namely ED.

Question 11

Select the related number from the given alternatives: 25 is to 260 as 30 is to which number?

Accepted Answer

Introduction / Context: This is a numerical analogy of the form 25 : 260 :: 30 : ?. The goal is to discover the arithmetic or algebraic rule that transforms 25 into 260 and then apply that rule to 30 in order to select the correct answer. Such questions often use simple patterns involving multiplication and addition that must be consistent for all pairs. Given Data / Assumptions: The first pair given is 25 on the left and 260 on the right. The second starting number is 30, and we must determine its corresponding value. The options are 320, 310, 340, and 300. We assume a single arithmetic pattern is applied consistently to both 25 and 30. The pattern should be simple enough to be appropriate for a standard aptitude question. Concept / Approach: Since 260 ends with a zero, it suggests multiplication by a number that produces a multiple of 10. Notice that 260 can be written as 26 multiplied by 10, and 26 is 25 + 1. This leads to a compact rule: take the given number, add 1, and then multiply by 10. We can verify that this works for 25 and then apply the same idea to 30. If it matches one of the answer options, that is the intended pattern. Step-by-Step Solution: Step 1: Start with 25 in the first pair. Step 2: Add 1 to 25. This gives 25 + 1 = 26. Step 3: Multiply the result by 10. So 26 * 10 = 260, which matches the given second number in the pair. Step 4: Conclude that the working rule is (n + 1) * 10, where n is the given number. Step 5: Apply this rule to 30. First compute 30 + 1 = 31. Step 6: Multiply 31 by 10. So 31 * 10 = 310. Step 7: Compare with the answer options. 310 appears as option b, making it the correct choice. Verification / Alternative check: We can test whether any other simple rule fits 25 : 260. For instance, doubling 25 gives 50, and 25 squared is 625, neither of which equals 260. Writing 260 as 25 * 10 + 10 is just 10 times (25 + 1), which is another way to express the same rule (n + 1) * 10. This rule is straightforward and naturally explains 25 mapping to 260. Applying any alternative consistent rule to 30 would not reach a number present in the options as neatly as 310 does, confirming that our pattern is correct. Why Other Options Are Wrong: If we use the rule (n + 1) * 10 for 30, we get 310, not 320, 340, or 300. The values 320 and 340 would require adding 2 or 4 more tens, which does not match the relationship for 25. The number 300 would be 10 times 30, missing the plus one step that is clearly needed to obtain 260 from 25. Thus, these alternatives violate the consistent transformation required by the analogy. Common Pitfalls: A common mistake is to guess that 260 is simply 25 times some arbitrary factor and then try the same factor on 30, or to assume direct proportion without checking the structure of 260. Another pitfall is to overlook the simple 26 * 10 form of 260. In many exam questions, noticing that the right side can be factored into an incremented left side multiplied by a base such as 10 is the key to a quick solution. Final Answer: Using the consistent rule (number + 1) * 10, 25 maps to 260 and 30 maps to 310, so the correct answer is 310.

Question 12

In the following question, select the related word pair from the given alternatives: Wood is to Door as which of the following is to its product?

Accepted Answer

Introduction / Context: This analogy question is about the relationship between a raw material and an object that is made from that material. Wood is commonly used to make doors. You must choose the option in which the first word is a material and the second word is a finished product typically created from that material, mirroring the relationship in Wood : Door. Given Data / Assumptions: The model pair is Wood : Door. We know that doors are often manufactured from wood. The candidate pairs are Car : Truck, Table : Window, Clay : Statue, and Wood : Plastic. We assume that the exam setter wants a clear material to product relationship, not just any association. Exactly one option should mirror this material to finished object relation closely and naturally. Concept / Approach: In the pair Wood : Door, wood is the material and door is a product usually made from that material. So the pattern is Material : Object made from that material. Evaluate each option by asking whether the second item is typically formed out of the first item. The correct answer will have the same direction of relationship and the same level of specificity. Among the options, Clay : Statue clearly stands out as a material that is shaped into the named object. Step-by-Step Solution: Step 1: Restate the base relationship. Wood is used as a raw material to construct a door. Step 2: Examine Car : Truck. Both car and truck are finished vehicles, not material and product; one is not made out of the other. Step 3: Examine Table : Window. A table is a piece of furniture and a window is a building component. Neither is a material for the other. Step 4: Examine Clay : Statue. Clay is a soft earthy material that sculptors shape and fire to create statues. Step 5: Examine Wood : Plastic. Here both are materials. Plastic is not made by shaping wood; they are different types of raw materials entirely. Step 6: Conclude that only Clay : Statue fits the pattern where the first term is the material and the second term is the object created from it. Verification / Alternative check: We can phrase the relationships in parallel sentences. A door is made of wood in many cases, and a statue is made of clay in many cases. In contrast, a truck is not made of car, a window is not made of table, and plastic is not made of wood. This language test confirms that the material to product relationship is preserved only in Clay : Statue. Why Other Options Are Wrong: Car : Truck shows two related but distinct vehicle types and lacks a raw material component. Table : Window again pairs two completed objects and does not show one being made from the other. Wood : Plastic lists two raw materials in the same role, whereas the model pair distinguishes between a raw substance and a final object. As a result, these options fail to match the structure of the given analogy. Common Pitfalls: Candidates sometimes focus only on any association between words rather than the exact type of relation. For example, they may think Wood : Plastic is correct because both are building materials, missing that the original pair is not simply about related items but about material and product. Always ask what role each word plays and whether that role is mirrored in the answer pair. Final Answer: The correct related word pair is Clay : Statue, because clay is the material from which a statue is made, just as wood is the material from which a door is made.

Question 13

In the following question, select the related number from the given alternatives: 41 is to 4 as 37 is to which number?

Accepted Answer

Introduction / Context: This is a number analogy based on operations with the digits of a two digit number. You are given 41 : 4 and must find which number should be associated with 37 in the same way. Many such questions revolve around sums or products of the digits. Here, the pattern turns out to be based on the product of the two digits in each number. Given Data / Assumptions: The model pair is 41 on the left and 4 on the right. The second starting number is 37, and the right side is unknown. The options are 34, 21, 22, and 16. The numbers are two digit numbers, so the digits can be treated separately for simple operations such as addition and multiplication. We assume that the same operation on the digits of 41 and 37 is used to produce the related numbers. Concept / Approach: We first check whether the related number could be the sum of the digits or their product. For 41, the sum of the digits is 4 + 1 = 5, which does not match 4, but the product is 4 * 1 = 4, which matches perfectly. So the pattern in the example pair is that the second number is the product of the digits of the first. We can then apply this to 37, where the digits are 3 and 7, and see which option matches the resulting product. Step-by-Step Solution: Step 1: Take the number 41 from the example pair. Step 2: Separate its digits: 4 and 1. Step 3: Compute their product: 4 * 1 = 4, which matches the related number given on the right side of the pair. Step 4: Conclude that the rule is: result = (tens digit) * (units digit). Step 5: Now apply this rule to 37. Its digits are 3 and 7. Step 6: Multiply these digits: 3 * 7 = 21. Step 7: Compare this result with the options. 21 appears as option b, so that must be the correct answer. Verification / Alternative check: Test quickly whether the sum based rule would work. For 41, 4 + 1 = 5, which does not match 4, so sum is not correct. Also, there is no obvious square or cube relation: 41 squared is 1681, which is not 4. The digit product rule is the only simple pattern that precisely explains 41 : 4 and produces a value that matches one of the options for 37. As a quick further check, 37 has digits whose sum is 10 but whose product is 21; only 21 is present in the answer set, reinforcing the correctness of the digit product pattern. Why Other Options Are Wrong: The numbers 34, 22, and 16 cannot be obtained by multiplying the digits 3 and 7. Using any of them would require a different rule than the one that connects 41 to 4. For example, 16 would be 4 squared, but there is no comparable square relationship for 37 that remains consistent with 41 : 4. Therefore, these alternatives break the analogy and must be rejected. Common Pitfalls: A common error is to look for operations directly on the two digit number, such as dividing it by a constant or subtracting a fixed amount, rather than looking at the digits. Another pitfall is to miscalculate the product of the digits under time pressure. Remember that in many two digit analogies, the simplest patterns involve digit sums or products, so always check those first before moving to more complicated ideas. Final Answer: Following the pattern that the related number is the product of the digits, 41 gives 4 and 37 gives 21, so the correct answer is 21.

Question 14

In the following question, select the related group of letters from the given alternatives: AMC is to COE as RAX is to which group?

Accepted Answer

Introduction / Context: This question presents a letter coding analogy. The group AMC is related to COE according to a fixed shift in the alphabet, and you must find which option gives the correct related group for RAX under the same rule. Such questions check your skill in working with alphabet positions and uniform shifts across multiple letters. Given Data / Assumptions: AMC is the original group of letters and COE is its coded form. RAX is the second original group, and its coded form is missing. The options are MKZ, TCZ, ECB, and FBT. Alphabet positions are taken as A = 1, B = 2, ..., Z = 26. We assume the same positional shift is applied to each letter of AMC to get COE, and then to each letter of RAX. Concept / Approach: We convert the letters of AMC and COE into numbers, compute the difference for each corresponding pair, and see whether the shift is constant. If all letters shift by the same number of positions, that constant shift is the coding rule. We then apply that to RAX to find the matching coded group. This kind of uniform shift is standard in alphabet coding problems and is often the simplest explanation. Step-by-Step Solution: Step 1: Write the positions of AMC. A is 1, M is 13, and C is 3. Step 2: Write the positions of COE. C is 3, O is 15, and E is 5. Step 3: Compute the shift for each letter. From A(1) to C(3) is +2, from M(13) to O(15) is +2, and from C(3) to E(5) is also +2. Step 4: Conclude that the coding rule is to add 2 to the position of each letter. Step 5: Now take RAX and find the positions. R is 18, A is 1, and X is 24. Step 6: Add 2 to each position. R(18) + 2 = 20, which is T. A(1) + 2 = 3, which is C. X(24) + 2 = 26, which is Z. Step 7: Combine these letters to get TCZ and compare with the options. TCZ matches option b. Verification / Alternative check: To verify, subtract 2 from each letter of TCZ and see if we return to RAX. T(20) minus 2 equals 18 (R), C(3) minus 2 equals 1 (A), and Z(26) minus 2 equals 24 (X). This confirms the rule is consistent both forward and backward. None of the other options, when reduced by 2 letters each, produces RAX, so they do not satisfy the same uniform shift rule. Why Other Options Are Wrong: MKZ, ECB, and FBT each require a different set of shifts from RAX and do not follow the constant plus two rule. For example, to get M from R requires a shift of minus 5, while to get K from A requires plus 10, which is inconsistent. Since a true letter coding analogy must apply the same transformation to all letters, these options cannot be correct. Common Pitfalls: Learners sometimes look for more complicated patterns such as alternating forward and backward shifts. While such patterns do occur in harder questions, the first thing to check in a simple three letter group coding is whether a single constant shift works across all letters. In this case, that straightforward test quickly reveals the +2 rule. Final Answer: Applying the same +2 alphabet shift that converts AMC to COE, the group RAX is coded as TCZ.

Question 15

Select the related word from the given alternatives: Cotton is to White as Coal is to which descriptive word?

Accepted Answer

Introduction / Context: This analogy connects an object with a colour that commonly describes it. Cotton is usually associated with the colour white, especially in its raw or natural form. You must now determine which word best completes the analogy for coal. Questions like this test basic general knowledge and simple association between objects and their characteristic properties. Given Data / Assumptions: The model pair is Cotton : White. We know that cotton, especially raw cotton, is typically white in appearance. The second object is Coal, which needs a similar descriptive word. The options are Fire, Mine, Wood, and Black. We assume the second word in each pair should be a common descriptive property, not a place or another object. Concept / Approach: The relationship in Cotton : White is Object : Characteristic colour. Cotton is a material, and white is the colour most often associated with it. To maintain the analogy, we must find the colour most strongly associated with coal. Coal is well known for its dark appearance, typically described as black. Fire, mine, and wood do not represent colours, so they cannot mirror the role of white in the first pair. Step-by-Step Solution: Step 1: Identify the type of relationship in the base pair. Cotton is a substance, and white is a colour description. Step 2: List what coal is. Coal is a dark, carbon rich solid fuel obtained from mines. Step 3: Examine option a, Fire. Fire is a process and a phenomenon, not a colour, so it does not match the descriptive role of white. Step 4: Examine option b, Mine. A mine is a place where coal is obtained. This is a location, not a descriptive property. Step 5: Examine option c, Wood. Wood is another substance and does not play the same role as a colour descriptor. Step 6: Examine option d, Black. Black is a colour commonly used to describe coal. Step 7: Conclude that Black is the only option that fits the pattern Object : Characteristic colour. Verification / Alternative check: We can express the analogy in parallel sentences. Cotton is white; coal is black. Both sentences are natural, simple, and reflect common usage. In contrast, sentences such as coal is fire, coal is mine, or coal is wood are semantically incorrect or confusing. This supports the view that the intended relationship is object to typical colour and that black is the correct completion. Why Other Options Are Wrong: Fire is something coal may produce when burned but is not a property of the coal itself. Mine is a location where coal is found, not a feature of coal. Wood is another material and does not describe coal. Since the model pair uses a colour descriptor, any answer that is not a colour fails to mirror the original pattern and must be rejected. Common Pitfalls: Some candidates may overthink and focus on where coal comes from or what it is used for, which can lead them towards mine or fire. However, the original pair is about a simple visual property rather than origin or function. Always identify the exact type of relation in the first pair before examining the options for the second pair. Final Answer: The correct related word is Black, because just as cotton is characteristically white, coal is characteristically black.

Question 16

Select the related group of letters from the given alternatives: WVT is to SRP as MLJ is to which sequence?

Accepted Answer

Introduction / Context: This letter analogy uses a fixed backward shift in the alphabet. The group WVT is related to SRP, and you must identify which option continues the same pattern when applied to MLJ. These kinds of questions examine your ability to work systematically with alphabet positions and consistent shifts across all letters in a group. Given Data / Assumptions: The base pair is WVT on the left and SRP on the right. The second starting group is MLJ, whose related group is unknown. The answer options are KHG, IHG, IHF, and HEF. Alphabet positions are A = 1, B = 2, ..., Z = 26. We assume each letter in WVT is transformed to the corresponding letter in SRP using the same shift. Concept / Approach: We first convert letters in WVT and SRP to numbers and compute the difference for each pair. If the shift is constant for all three letters, that shift is our coding rule. Then we apply the same shift to MLJ to find its partner. Because both groups are made of three letters, this is a direct one to one mapping situation that is ideal for constant shift analysis. Step-by-Step Solution: Step 1: Write positions of WVT. W is 23, V is 22, and T is 20. Step 2: Write positions of SRP. S is 19, R is 18, and P is 16. Step 3: Compute the shifts. From W(23) to S(19) is minus 4. From V(22) to R(18) is minus 4. From T(20) to P(16) is minus 4. Step 4: Conclude that the rule is to subtract 4 from the position of each letter. Step 5: Now apply this rule to MLJ. M is 13, L is 12, and J is 10. Step 6: Subtract 4. From M(13) we get 9, which is I. From L(12) we get 8, which is H. From J(10) we get 6, which is F. Step 7: Combine the new letters to obtain IHF and match it with option c. Verification / Alternative check: To verify the pattern, we can reverse the transformation from IHF back to MLJ by adding 4 to each letter. I(9) plus 4 is 13 (M), H(8) plus 4 is 12 (L), and F(6) plus 4 is 10 (J). This confirms that the mapping is perfectly reversible and consistent. No other option, when each letter is increased by 4, returns MLJ, so they fail to satisfy the same rule that connects WVT with SRP. Why Other Options Are Wrong: KHG, IHG, and HEF would require different shifts for different letters if we tried to map them back to MLJ, so the transformation would not be uniform. For example, to get from K to M requires +2, but from H to L requires +4, which is inconsistent. Since the base pair shows a clear and constant minus 4 shift for all letters, any option that does not follow this pattern cannot be correct. Common Pitfalls: Some students guess based on visual similarity, such as choosing a group that looks close to MLJ, without checking the exact alphabetic distances. Others might mistakenly apply a variable shift, assuming that the differences can change. Remember that in these uniform letter set analogies, the most common rule is a constant shift that should be checked carefully for each position. Final Answer: Using the same minus four alphabet shift that converts WVT to SRP, the group MLJ is converted to IHF.

Question 17

Select the related number from the given alternatives: 12.5 is to 6.25 as 7 is to which number?

Accepted Answer

Introduction / Context: This numerical analogy uses a simple fractional relationship. You are told that 12.5 corresponds to 6.25, and must find the number that corresponds to 7 in the same way. Many decimal analogies of this type rely on halving, doubling, or simple fractions such as one half or one quarter. Here, the transformation from 12.5 to 6.25 is straightforward halving. Given Data / Assumptions: The first pair is 12.5 on the left and 6.25 on the right. The second starting number is 7, and the related number is unknown. The options are 3.5, 3.25, 6.5, and 12. We assume the same arithmetic operation connects 12.5 to 6.25 and 7 to the missing number. The operation should be simple and common, such as multiplication by a fraction. Concept / Approach: First, observe that 6.25 is exactly half of 12.5, because 12.5 divided by 2 is 6.25. This strongly suggests that the pattern is to divide the given number by 2. Once we verify that this is correct for the example pair, we apply the same rule to 7 and check which option matches the result. This is a standard halving pattern often used in aptitude tests with decimal numbers. Step-by-Step Solution: Step 1: Check the relationship between 12.5 and 6.25. Step 2: Divide 12.5 by 2. The result is 12.5 / 2 = 6.25. Step 3: This confirms that the rule in the example pair is to take half of the original number. Step 4: Now apply the same rule to 7. Compute 7 / 2. Step 5: 7 divided by 2 equals 3.5. Step 6: Compare this with the options and see that 3.5 appears as option a. Step 7: Therefore, 3.5 is the correct related number for 7 in this analogy. Verification / Alternative check: We can quickly test alternative patterns to make sure halving is the most reasonable. If we tried subtracting a fixed amount, 12.5 minus 6.25 equals 6.25, which is not obviously useful for 7. If we tried multiplying or dividing by some less familiar fraction, it would be unnecessarily complex for this type of problem. Halving exactly reproduces the given pair and leads to 3.5, which is a simple, clean decimal that matches one of the choices. Why Other Options Are Wrong: 3.25 is half of 6.5, not half of 7. The option 6.5 is actually greater than 7 and would correspond to 12.5 multiplied by approximately 0.52, which does not match the first pair. The option 12 is close to 12.5 but does not represent a clear fraction of 7. None of these alternative values can be produced by the straightforward halving rule that correctly explains the example pair. Common Pitfalls: Under time pressure, candidates sometimes miscalculate half of a decimal or confuse halving with subtracting a similar looking number. Others may jump to the visually familiar 3.25 because 12.5 and 6.25 share the digits 1, 2, 5, and 6. It is important to focus on the operation, not on superficial digit similarities. When the first pair is clearly a case of dividing by 2, apply that same operation to the second number without overcomplicating the situation. Final Answer: Since 6.25 is half of 12.5, the number corresponding to 7 by the same rule is half of 7, which is 3.5.

Question 18

A series is given with one word missing: Money, Amity, Camera, Animal, Telomere, ? – choose the correct alternative that completes the pattern.

Accepted Answer

Introduction / Context: This question presents a word series with one term missing: Money, Amity, Camera, Animal, Telomere, ?. You must determine which word from the options continues the pattern. Series questions may be based on meanings, word lengths, letter positions, or other structural patterns. In this problem, the key observation comes from the lengths of the words and how they progress. Given Data / Assumptions: The series is: Money, Amity, Camera, Animal, Telomere, ? The candidate words are Talisman, Litmus, Matter, and Shame. There is no obvious semantic or thematic link connecting all the words directly (they cover finance, friendship, photography, biology, and genetics). We therefore consider structural patterns such as number of letters. Exactly one option should fit the structural progression established by the earlier words. Concept / Approach: When meanings appear unrelated, checking simple numerical properties like letter counts is often productive. Count the letters in each given word: Money (5), Amity (5), Camera (6), Animal (6), Telomere (8). This sequence of lengths follows a clear pattern: two words with 5 letters, two words with 6 letters, and then one word with 8 letters. A natural continuation is to expect another word with 8 letters to balance the pattern in pairs again. So we examine the options to see which one has 8 letters and fits smoothly at the end. Step-by-Step Solution: Step 1: Count letters in each term of the given series. Step 2: Money has 5 letters, Amity has 5 letters. Step 3: Camera has 6 letters, Animal has 6 letters. Step 4: Telomere has 8 letters. Step 5: Recognise the length pattern: 5, 5, 6, 6, 8, ? Step 6: It is natural to expect the next word also to have 8 letters, continuing the idea of matching pairs of equal length. Step 7: Check the options: Talisman (8 letters), Litmus (6 letters), Matter (6 letters), Shame (5 letters). Step 8: Only Talisman has 8 letters, so it is the best candidate to complete the pattern. Verification / Alternative check: Consider whether there is any other obvious rule that could connect the words, such as initial letters forming a hidden message, or alternating vowels and consonants. No consistent semantic or letter position pattern appears across all five given words. However, the length pattern is clear, simple, and perfectly satisfied by Talisman. Additionally, pairing the words as (Money, Amity), (Camera, Animal), and (Telomere, Talisman) gives balanced groups of equal length within each pair, which provides an aesthetically strong and exam friendly structure. Why Other Options Are Wrong: Litmus and Matter each have 6 letters, which would introduce another 6 letter word after an 8 letter word, breaking the symmetry of the length sequence. Shame has 5 letters and would take the pattern back to a shorter word in a way that does not follow any regular rule. None of these alternatives continues the 5, 5, 6, 6, 8 pattern in a natural numeric progression, whereas Talisman, with 8 letters, fits perfectly. Common Pitfalls: Test takers may search too hard for deep semantic links in a mixed list of words and overlook simple structural features such as the number of letters. Another pitfall is to choose a familiar or interesting word rather than one that obeys a clear rule. When confronted with an apparently random mix of meanings, it is often a signal to look at lengths, spelling patterns, or alphabetical order rather than meaning. Final Answer: The word that continues the length based pattern in the series is Talisman, so that is the correct choice.

Question 19

In the following question, select the related word pair from the given alternatives: Seconds is to Time as which of the following is to its corresponding physical quantity?

Accepted Answer

Introduction / Context: This analogy tests basic knowledge of physical quantities and their units. Seconds is a unit used to measure time. You must select from the options a pair that mirrors this unit to quantity relationship. Recognising correct unit quantity matches is essential both in physics and in reasoning questions that draw on real world knowledge. Given Data / Assumptions: The base pair is Seconds : Time. Seconds is the standard SI unit for measuring the physical quantity of time. The options are Angle : Pascal, Length : Metre, Area : Volume, and Ohm : Resistance. We seek a pair in which the first term is a unit and the second term is the physical quantity that unit measures. Pairs where this order is reversed or where items are mismatched should be eliminated. Concept / Approach: The structure of the given pair is Unit : Physical quantity measured by that unit. Seconds is not a type of time but the unit in which time is measured. We must therefore identify an option where the first word names a unit and the second word names the corresponding physical quantity. Among the options, Ohm : Resistance fits this description, since ohm is the SI unit of electrical resistance. Other options either reverse the order or pair unrelated concepts. Step-by-Step Solution: Step 1: Clarify the base relationship. Seconds is the unit; time is the quantity that is measured. Step 2: Examine Angle : Pascal. Angle is a physical quantity, and Pascal is the SI unit of pressure, not of angle. This pair is mismatched in both role and meaning. Step 3: Examine Length : Metre. Here, length is the physical quantity and metre is its unit. The order is reversed compared to Seconds : Time, which is unit first and quantity second. Step 4: Examine Area : Volume. Both area and volume are physical quantities, not units, so this pair does not follow the unit quantity pattern at all. Step 5: Examine Ohm : Resistance. Ohm is the SI unit, and resistance is the physical quantity measured in ohms. Step 6: Conclude that Ohm : Resistance has the same logical structure as Seconds : Time, namely Unit : Quantity. Verification / Alternative check: Write the relationships in parallel phrases. Time is measured in seconds, and resistance is measured in ohms. These statements mirror each other and are correct in physics. In contrast, there is no standard relation such as time is measured in angle or area is measured in volume. The pair Length : Metre has the correct objects but in the opposite order. Therefore, only Ohm : Resistance correctly parallels the original pair in both meaning and ordering. Why Other Options Are Wrong: Angle : Pascal confuses two unrelated concepts: angle is a measure of rotation, and Pascal is a unit of pressure. Length : Metre reverses the order by placing the quantity first and the unit second, which does not match Seconds : Time. Area : Volume contains two different quantities and no units at all. As a result, these pairs fail to capture the unit to quantity relationship that the question clearly demands. Common Pitfalls: A frequent mistake is to ignore the order of words and choose Length : Metre because they are correctly associated. However, analogy questions are sensitive to direction: Seconds : Time is unit to quantity, not quantity to unit. Another pitfall is to overlook the scientific meaning of terms like Pascal or Ohm and treat them as generic words. Remembering SI units and the quantities they measure helps avoid such errors. Final Answer: The only pair that mirrors the Unit : Quantity relation in Seconds : Time is Ohm : Resistance.

Question 20

In the following question, select the related number pair from the given alternatives: 11 is to 16 as which of the following pairs?

Accepted Answer

Introduction / Context: This question presents a simple number pair analogy. The pair 11 : 16 is given, and you must select from the options the pair that is related in the same way. In many such questions, the relationship between the numbers in the pair is a fixed difference, and the correct answer is another pair that shares that same difference. Given Data / Assumptions: The base pair is 11 on the left and 16 on the right. The candidate pairs are 14 : 16, 15 : 22, 7 : 14, and 13 : 18. We assume that the relationship is likely to be a simple arithmetic one such as adding a constant to the first number. The task is to find which pair exhibits the same numerical difference as 11 and 16. Concept / Approach: We start by computing the difference between the numbers in the base pair. 16 minus 11 equals 5. This suggests a rule of adding 5 to obtain the second number from the first. We then check each candidate pair and see which one also satisfies a difference of 5 between its elements. The pair that matches this difference is the correct answer, as it preserves the structure of the original relationship. Step-by-Step Solution: Step 1: Compute the difference in the base pair. 16 - 11 = 5, so the second number is 5 greater than the first. Step 2: Examine option a, 14 : 16. The difference here is 16 - 14 = 2, which does not equal 5. Step 3: Examine option b, 15 : 22. The difference is 22 - 15 = 7, not 5. Step 4: Examine option c, 7 : 14. The difference is 14 - 7 = 7, again not 5. Step 5: Examine option d, 13 : 18. The difference is 18 - 13 = 5. Step 6: Conclude that in the pair 13 : 18, the same rule second = first + 5 is satisfied. Verification / Alternative check: Because the question does not offer additional context, the simplest explanation is usually preferred. The pattern of adding 5 is straightforward and consistent: 11 + 5 = 16 and 13 + 5 = 18. If we tried more complex operations, such as multiplication or squaring, we would not find a natural rule that matches both the original pair and any option. Hence, the constant difference pattern is the most reasonable and confirms that 13 : 18 is correct. Why Other Options Are Wrong: The pair 14 : 16 shows a difference of 2, not 5. The pairs 15 : 22 and 7 : 14 each show a difference of 7, which again does not match the original difference. Using any of these would introduce inconsistency in the analogy, because the basic rule linking the numbers in each pair would be different from that of 11 : 16. Common Pitfalls: Candidates sometimes search for hidden patterns like prime relationships or digit manipulations when a simple constant difference is sufficient. Another common mistake is not performing the subtraction carefully, which can lead to misidentifying the matching pair. A quick scan of differences, done accurately, is usually enough to solve such problems efficiently. Final Answer: Since 16 is 5 more than 11, the pair that mirrors this relationship is 13 : 18, where 18 is also 5 more than 13.

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