Question 1

In this letter rearrangement analogy, VERMIN is transformed to match the pattern of ORDERS to ERSORD; using the same rule, choose the correct rearrangement of VERMIN: VERMIN : ? :: ORDERS : ERSORD

Accepted Answer

Introduction / Context:This question tests your skill in recognising letter rearrangement patterns. The word ORDERS is transformed into ERSORD by a specific rearrangement rule. You must apply the same rule to VERMIN and select the correct transformed form from the options. Such analogies check your ability to manipulate strings while preserving all original letters. Given Data / Assumptions: The source word is ORDERS, and the target word is ERSORD. Another source word is VERMIN, and we need its corresponding rearranged form. No letters are added or removed; only the order changes. The transformation rule for ORDERS must be applied unchanged to VERMIN. Concept / Approach:First, we examine how the letters of ORDERS are reordered to form ERSORD. By looking at the positions, we can see whether part of the word has been moved to the front or back. Once we identify this pattern, we apply the same slice and rearrange operation to VERMIN. The correct option must contain exactly the same letters as VERMIN, but in the new order defined by the rule. Step-by-Step Solution:Step 1: Write ORDERS and mark the first three letters and last three letters: ORD and ERS.Step 2: Observe the target word ERSORD. It can be broken into ERS and ORD.Step 3: This shows that the last three letters ERS have been moved to the front, while the first three letters ORD have been shifted to the end.Step 4: Therefore, the rule is: take the last half of the six letter word (last three letters) and place it before the first half (first three letters).Step 5: Now apply the same rule to VERMIN. Split VERMIN into two groups of three letters: VER and MIN.Step 6: Move the last three letters MIN to the front and place the first three letters VER after them.Step 7: The resulting word is MINVER.Step 8: Compare this with the options; MINVER appears as option D. Verification / Alternative check:We verify that all original letters of VERMIN appear exactly once in MINVER: M, I, N, V, E and R are all present, with no additions or omissions. We also confirm that the relative halves have simply been swapped, just as in ORDERS to ERSORD. Other options either rearrange letters differently or alter the grouping, which breaks the precise rule observed in the example pair. Why Other Options Are Wrong:Option A, MNIVER, does not correspond to a simple last three then first three structure. Option B, MINERV, shuffles the order further and does not maintain the exact swap. Option C, MINVRE, again jumbles the letters rather than using a clean half swap. Since the correct rule is to move the last three letters in front of the first three, only MINVER matches the pattern. Common Pitfalls:Some test takers try to track individual letter movements instead of identifying the larger chunk pattern, which can be confusing. Others may jump to the first option that looks similar without checking whether the split into halves is maintained. A reliable strategy is to mark positions, group equal sized blocks and compare them between the original and the transformed word. Final Answer:The correct rearrangement of VERMIN that matches the rule is MINVER, so option D is correct.

Question 2

In this coded word analogy, MANTLE is transformed into SFTYRJ by alternating alphabet shifts; using the same coding rule, choose the correct code for PARROT: MANTLE : SFTYRJ :: PARROT : ?

Accepted Answer

Introduction / Context:This question is a coded word analogy that involves position based shifts in the alphabet. The word MANTLE is converted into SFTYRJ using a specific pattern that alternates between two different forward shifts. You must identify this pattern and apply it to the word PARROT to find the correct coded form from the options. This type of problem tests attention to detail and comfort with multi step letter transformations. Given Data / Assumptions: MANTLE is the original word, and SFTYRJ is its coded form. PARROT is another six letter word to be coded under the same pattern. The alphabet runs from A = 1 through Z = 26. The rule for coding MANTLE must be applied position wise and unchanged to PARROT. Concept / Approach:We first analyse how each letter of MANTLE transforms into each letter of SFTYRJ. By converting letters to positions, we can see whether the shift is constant or alternating. When we notice that the movement alternates between plus six and plus five for successive positions, we extract that pattern and apply it letter by letter to PARROT. The correct option must match this exact sequence of shifts. Step-by-Step Solution:Step 1: Write positions of the letters in MANTLE: M = 13, A = 1, N = 14, T = 20, L = 12, E = 5.Step 2: Write positions of SFTYRJ: S = 19, F = 6, T = 20, Y = 25, R = 18, J = 10.Step 3: Compute the shifts: M (13) to S (19) is +6; A (1) to F (6) is +5; N (14) to T (20) is +6; T (20) to Y (25) is +5; L (12) to R (18) is +6; E (5) to J (10) is +5.Step 4: Observe the pattern: for positions 1, 3 and 5 we add 6; for positions 2, 4 and 6 we add 5.Step 5: Now find positions of letters in PARROT: P = 16, A = 1, R = 18, R = 18, O = 15, T = 20.Step 6: Apply +6 to letters in positions 1, 3 and 5. For P (16), 16 + 6 = 22, which is V. For R (18), 18 + 6 = 24, which is X. For O (15), 15 + 6 = 21, which is U.Step 7: Apply +5 to letters in positions 2, 4 and 6. For A (1), 1 + 5 = 6, which is F. For R (18), 18 + 5 = 23, which is W. For T (20), 20 + 5 = 25, which is Y.Step 8: Combine the coded letters in order: position 1 V, position 2 F, position 3 X, position 4 W, position 5 U, position 6 Y, giving VFXWUY. Verification / Alternative check:We can cross check by quickly recoding MANTLE using the same alternating plus six and plus five rule to verify that it indeed produces SFTYRJ. This confirmation ensures that our extracted pattern is correct. Then comparing VFXWUY with the options shows that only option A reproduces our coded result exactly. Other options either change the order of letters or alter one or more positions, so they do not conform to the rule. Why Other Options Are Wrong:Option B, VXFWUY, has X at second position instead of F, breaking the position specific shift. Option C, VFXWYU, swaps U and Y at the end, which is incompatible with our stepwise mapping. Option D, VFXUWY, changes the order of letters in the last three positions. All three deviate from the strict alternating plus six and plus five pattern that we derived from MANTLE to SFTYRJ. Common Pitfalls:Some candidates try to use a single constant shift for all letters and get stuck, since that does not reproduce all letters of SFTYRJ. Others may detect that plus six or plus five is involved but miss that the pattern alternates by position. In multi step codes, always check each position carefully and look for repeating sequences of shifts, then apply them exactly. Final Answer:The correct code for PARROT under this pattern is VFXWUY, so option A is correct.

Question 3

In this number analogy, 545 is related to 196 by a digit sum and square rule; using the same pattern, choose the number that completes the analogy: 545 : 196 :: 173 : ?

Accepted Answer

Introduction / Context:This question is a number analogy involving multi digit numbers. The pair 545 and 196 suggests that 196 is calculated from 545 using a rule based on its digits. You must apply the same digit based rule to 173 and select the correct result from the options. These questions develop your skill in spotting relationships between sums of digits and perfect squares. Given Data / Assumptions: The first pair is 545 and 196. The second pair is 173 and an unknown number. The transformation from 545 to 196 involves using its digits in some arithmetic way. The result 196 is a perfect square (14 squared). Concept / Approach:Begin by examining the digits of 545. A natural idea is to compute their sum and see how it relates to 196. If 5 + 4 + 5 gives 14 and 14 squared gives 196, we have a clear two step rule: sum the digits, then square the sum. We then apply exactly the same two step process to 173. A correct answer must respect both steps, not just one of them. Step-by-Step Solution:Step 1: Identify the digits of 545, which are 5, 4 and 5.Step 2: Compute the sum of these digits: 5 + 4 + 5 = 14.Step 3: Square this sum: 14^2 = 196.Step 4: This matches the second number in the first pair, confirming that the rule is: result equals (sum of digits)^2.Step 5: Apply this rule to 173. Its digits are 1, 7 and 3.Step 6: Sum the digits: 1 + 7 + 3 = 11.Step 7: Square this sum: 11^2 = 121.Step 8: From the options, 121 appears as option B, so that is the correct corresponding number. Verification / Alternative check:We can check for competing interpretations, such as multiplying digits or concatenating them, but none of those operations on 545 give 196. The sum followed by squaring is the simplest and most precise rule. Applying any other rule to 173 would fail to give 121 in a consistent way. Also, 121 is a perfect square, which mirrors the structure of 196 as a perfect square of the digit sum, adding confidence to this pattern. Why Other Options Are Wrong:Option A, 72, does not arise from squaring any simple sum of digits of 173. Option C, 84, and option D, 41, also cannot be obtained by summing 1, 7 and 3 and applying a square or similar neat transformation. They fail to mirror the exact two step digit sum and square rule that clearly links 545 and 196. Common Pitfalls:Some candidates may compute the sum of digits correctly but forget to square the result. Others might incorrectly sum the digits or make a mistake squaring the sum, for example taking 11 squared as 111. Carefully performing both steps and doing a quick mental check of common squares, like 11 squared equals 121, can prevent these errors. Final Answer:Using the same digit sum and square rule, 173 corresponds to 121, so option B is correct.

Question 4

In this airport and city analogy, Rajiv Gandhi Airport is associated with Hyderabad; using the same relationship, choose the city associated with Indira Gandhi Airport: Rajiv Gandhi Airport : Hyderabad :: Indira Gandhi Airport : ?

Accepted Answer

Introduction / Context:This is a general knowledge analogy based on major Indian airports and their cities. The pair Rajiv Gandhi Airport : Hyderabad indicates that the Rajiv Gandhi International Airport is located in Hyderabad. You must determine which city is associated with the Indira Gandhi Airport in the same way. Such questions evaluate awareness of important transport hubs. Given Data / Assumptions: Rajiv Gandhi International Airport serves the city of Hyderabad. Indira Gandhi International Airport is another major airport in India. The options list major Indian cities: Mumbai, Bangalore, Delhi and Kolkata. The relationship is between an airport and the primary city it serves. Concept / Approach:We first confirm the example pair. Rajiv Gandhi International Airport is well known as the international airport for Hyderabad in Telangana. By analogy, we need to recall which city is served by Indira Gandhi International Airport. From common knowledge, this airport is the main international gateway for the national capital region. Selecting the correct city from the options completes the analogy. Step-by-Step Solution:Step 1: Confirm that Rajiv Gandhi Airport is the international airport for Hyderabad, making the pair Rajiv Gandhi Airport : Hyderabad valid.Step 2: Recall that Indira Gandhi International Airport is located in the national capital region of India.Step 3: Identify the city associated with the national capital region and this airport, which is Delhi.Step 4: Check the options: Mumbai, Bangalore, Delhi and Kolkata are all major cities, but only Delhi has an airport named Indira Gandhi International Airport.Step 5: Therefore, the correct completion is Indira Gandhi Airport : Delhi. Verification / Alternative check:We can verify from general awareness that Mumbai is served by Chhatrapati Shivaji Maharaj International Airport, Bangalore by Kempegowda International Airport and Kolkata by Netaji Subhas Chandra Bose International Airport. None of these cities use the name Indira Gandhi for their main airport. Only Delhi's main international airport carries that name, which confirms the correctness of our answer. Why Other Options Are Wrong:Option A, Mumbai, has a different airport name and therefore does not match the pattern. Option B, Bangalore, also has its own distinctive airport name. Option D, Kolkata, is linked to yet another leader through its airport name. Because the analogy is based on airport names matching their respective cities, these options do not satisfy the required relationship. Common Pitfalls:Some candidates might confuse airport names due to the involvement of prominent leaders names or mix up the cities. Others may not differentiate between domestic and international airports. A quick mental association of each city with its famous airport name can help avoid such mistakes, especially for well known hubs like Hyderabad and Delhi. Final Answer:The city that completes the analogy correctly is Delhi, so option C is correct.

Question 5

In this coded letter analogy, TEW is related to PAS by a fixed backward shift; using the same pattern, select the group of letters that completes the analogy: TEW : PAS :: IVX : ?

Accepted Answer

Introduction / Context:This analogy is from the alphabet coding section. The word TEW is coded as PAS by shifting each letter backward in the alphabet. You must discover the exact shift and apply it to the word IVX to find the coded result. These questions assess your ability to track uniform letter shifts and maintain correct ordering. Given Data / Assumptions: The alphabet is numbered A = 1 through Z = 26. TEW is transformed into PAS under a consistent rule. IVX must be transformed under the same rule. The options are ETR, SQR, ERT and RNP. Concept / Approach:To solve this, we convert each letter of TEW and PAS to their numeric positions and examine the differences. If the difference is constant and negative, it implies a backward shift. Once we determine the exact amount of the shift for all letters, we apply this same shift to I, V and X in IVX and compare the result with the options. Step-by-Step Solution:Step 1: Write the positions of the letters in TEW: T = 20, E = 5 and W = 23.Step 2: Write the positions of the letters in PAS: P = 16, A = 1 and S = 19.Step 3: Compute the shifts: T (20) to P (16) is minus 4; E (5) to A (1) is minus 4; W (23) to S (19) is minus 4.Step 4: Conclude that the coding rule is to shift every letter 4 positions backward in the alphabet.Step 5: Now write the positions for IVX: I = 9, V = 22 and X = 24.Step 6: Apply the same shift of minus 4: I (9) minus 4 equals 5, which is E; V (22) minus 4 equals 18, which is R; X (24) minus 4 equals 20, which is T.Step 7: Combine these letters to obtain the coded form ERT.Step 8: Compare ERT with the options; it appears as option C. Verification / Alternative check:We can verify our rule by rechecking TEW to PAS using the minus 4 shift. T becomes P, E becomes A and W becomes S, exactly as given. Applying the same uniform backward shift to IVX yields ERT, and no other option represents this precise transformation. This consistency across both words confirms that we have the correct pattern. Why Other Options Are Wrong:Option A, ETR, uses the same letters as ERT but in a different order, which does not result from a simple position shift. Option B, SQR, introduces letters that cannot be obtained by shifting I, V and X backward by 4 places. Option D, RNP, also does not match the required numerical positions. Because the coding rule is strictly a minus 4 shift applied to each letter in order, only ERT satisfies the analogy. Common Pitfalls:Some candidates detect that the letters move backward but miscalculate the amount of the shift or reverse letter order accidentally. Others may look for alternating patterns where a constant shift suffices. Always compute the position differences carefully for each letter in the example pair, confirm the regularity, and then apply the same stepwise rule to the new word without changing order. Final Answer:Using the same backward shift pattern, IVX is coded as ERT, so option C is correct.

Question 6

Select the related letter code from the given alternatives: if PEON is coded as QGRR in a certain alphabetical code, then in the same code language which of the following will be the correct code for the word RUDE?

Accepted Answer

Introduction / Context:This verbal reasoning question tests alphabetical coding and pattern based analogy. A known word is converted into a letter code by applying a fixed sequence of shifts in the English alphabet. You must discover that pattern from PEON to QGRR and then apply exactly the same rule to the new word RUDE. Given Data / Assumptions: Word one: PEON Code for word one: QGRR Word two to be coded: RUDE All shifts are within the standard English alphabet with no reversal of order Concept / Approach:The usual approach in such coding questions is to compare corresponding letters in the given pair and compute the forward or backward shift in alphabet positions. Once a consistent pattern is found, the same series of shifts is applied to each letter of the unknown word in the same left to right order. Step-by-Step Solution: Step 1: Write letter positions for PEON. P = 16, E = 5, O = 15, N = 14. Step 2: Write letter positions for QGRR. Q = 17, G = 7, R = 18, R = 18. Step 3: Compute shifts: P to Q is +1, E to G is +2, O to R is +3, N to R is +4. Step 4: Apply the same +1, +2, +3, +4 pattern to RUDE. R = 18 to S = 19, U = 21 to W = 23, D = 4 to G = 7, E = 5 to I = 9. Step 5: The resulting code is S W G I which gives the coded form SWGI. Verification / Alternative check:Recheck each shift carefully to avoid off by one errors. Starting from R and adding 1 gives S. Starting from U and adding 2 gives W. From D adding 3 gives G. From E adding 4 gives I. The pattern perfectly matches the original code rule applied to PEON, so SWGI is consistent with the discovered logic. Why Other Options Are Wrong: MLNO doesn't follow the +1, +2, +3, +4 shift pattern when traced back to RUDE. TVSA violates the stepwise increasing shift rule and cannot be derived from RUDE with the discovered pattern. STRR shows repeated letters that do not arise when using the correct incremental shifts. SVGI is close visually but the second letter V does not match the required W after a shift of +2 from U. Common Pitfalls:Candidates often assume a single constant shift for all letters or try to work with position differences in the wrong direction. Another common mistake is to miscount alphabet positions by forgetting that A starts at 1, which can distort all subsequent shifts. Some may also wrongly apply the largest shift first instead of keeping the order strictly left to right. Final Answer:The correct code for RUDE is SWGI.

Question 7

In this famous title based analogy, Iron Man of India refers to Sardar Vallabhbhai Patel. In the same way, the phrase Father of the Nation refers to which Indian leader?

Accepted Answer

Introduction / Context:This question belongs to the analogy and general knowledge category. It connects honorary titles with the historical personalities who are commonly associated with them in Indian history and public discourse. Recognising these titles is important for many competitive exams and aptitude tests. Given Data / Assumptions: Iron Man of India is associated with Sardar Vallabhbhai Patel. We must map Father of the Nation to the correct leader. All options are names of significant Indian leaders. The expected answer follows widely accepted popular usage in India. Concept / Approach:The idea is to recall standard honorific titles. Sardar Vallabhbhai Patel is widely called Iron Man of India for his firmness and role in unifying the country after independence. Similarly, Father of the Nation is a popular title used for the main driving force of India's freedom struggle. You must match the second phrase to the leader who carries that accepted title in Indian history and culture. Step-by-Step Solution: Step 1: Confirm the given pair: Iron Man of India refers to Sardar Vallabhbhai Patel. Step 2: Recall the common title Father of the Nation used in India for the principal leader of the independence movement. Step 3: Recognise that this phrase typically refers to Mohandas Karamchand Gandhi, known as Mahatma Gandhi. Step 4: Scan the options to locate Mahatma Gandhi among the listed leaders. Step 5: Select Mahatma Gandhi, since no other option matches the standard title Father of the Nation for India. Verification / Alternative check:There is no competing popular use in India where Father of the Nation refers to any other political leader. Other leaders such as Jawahar Lal Nehru or Lokmanya Tilak have their own well known contributions and sometimes other titles, but they are not referred to as Father of the Nation in mainstream history or common speech. Why Other Options Are Wrong: Lokmanya Tilak was a major freedom fighter and is associated with slogans like Swaraj is my birthright, but not with this specific title. Rajeev Gandhi was a later Prime Minister and does not bear this historical honorific. Jawahar Lal Nehru is known as the first Prime Minister of independent India and sometimes as Chacha Nehru, not Father of the Nation. Subhash Chandra Bose was a key revolutionary leader but also not commonly given this particular title in exam context. Common Pitfalls:Students sometimes confuse popular leaders with popular titles and may choose Nehru or Bose due to their importance. Others may simply guess without carefully recalling which title goes with which person. It is important to memorise standard pairs such as Bismarck with Iron Chancellor, Mahatma Gandhi with Father of the Nation, and so on. Final Answer:The phrase Father of the Nation refers to Mahatma Gandhi.

Question 8

In a certain code language the word GLIDERS is rearranged as ERSDGLI. Using the same letter rearrangement pattern, which of the following will be the correct code form of the word TOASTER?

Accepted Answer

Introduction / Context:This is a letter rearrangement code question. Instead of shifting letters in the alphabet, the code is created by changing the order of letters according to a fixed pattern. Once you identify how GLIDERS becomes ERSDGLI, you can apply the same positional rearrangement to TOASTER. Given Data / Assumptions: Original word one: GLIDERS Coded form: ERSDGLI Original word two: TOASTER We assume no letters are added or removed, only rearranged. Concept / Approach:For rearrangement codes, the key is to track the position of each letter. We number the letters in the original word and then see which original position corresponds to each letter in the coded word. That pattern of positions is then applied to the second word of the same length. Step-by-Step Solution: Step 1: Write GLIDERS with positions: G(1), L(2), I(3), D(4), E(5), R(6), S(7). Step 2: Write the code ERSDGLI and match each letter with its original position: E(5), R(6), S(7), D(4), G(1), L(2), I(3). Step 3: The positional pattern from original to coded word is 1 2 3 4 5 6 7 → 5 6 7 4 1 2 3. Step 4: Apply the same pattern to TOASTER. Number letters: T(1), O(2), A(3), S(4), T(5), E(6), R(7). Step 5: Arrange letters in the order 5, 6, 7, 4, 1, 2, 3. This yields T(5), E(6), R(7), S(4), T(1), O(2), A(3) which is TERSTOA. Verification / Alternative check:Count the letter frequency in TOASTER and compare it with TERSTOA. Both contain two Ts, one O, one A, one S, one E, and one R. The code word simply rearranges positions, so the multiset of letters must match. TERSTOA satisfies this requirement and respects the discovered positional permutation. Why Other Options Are Wrong: TERSTAO uses the same letters but places O and A in the wrong order compared with the 5,6,7,4,1,2,3 pattern. TESRTOA violates the mapping by bringing R too early. TERRTOA repeats R more than once and does not match the letter counts of TOASTER. TERSOTA also breaks the precise positional mapping, since letters at positions two and three are mismatched. Common Pitfalls:Many learners rely on rough visual similarity and ignore strict positions, which leads to confusion among close looking options. Another mistake is to think in terms of alphabetical shifts instead of positional rearrangements. For such questions, always map positions methodically and then apply the discovered permutation to the target word. Final Answer:The correct coded form of TOASTER is TERSTOA.

Question 9

In a certain code language THUNDER is written as UHTNRED by rearranging its letters. Using the same pattern of rearrangement, how will the word THIEVES be written in that code?

Accepted Answer

Introduction / Context:This is another letter rearrangement analogy. The word THUNDER is jumbled into UHTNRED according to a fixed order of positions. To encode THIEVES, you must first decode the exact positional pattern used for THUNDER and then apply that same pattern to the letters of THIEVES. Given Data / Assumptions: Original word: THUNDER Coded word: UHTNRED Target word: THIEVES Code uses only rearrangement, no insertion or deletion of letters. Concept / Approach:As with similar rearrangement codes, the main technique is to index each letter in the original word and then see from which index each letter of the code word comes. That index mapping is then used as a template for any other word of the same length. Since both THUNDER and THIEVES have seven letters, the same seven position pattern can be reused. Step-by-Step Solution: Step 1: Label THUNDER as T(1), H(2), U(3), N(4), D(5), E(6), R(7). Step 2: Express UHTNRED in terms of original positions. U is from 3, H from 2, T from 1, N from 4, R from 7, E from 6, D from 5. Step 3: The mapping of positions is 1 2 3 4 5 6 7 → 3 2 1 4 7 6 5. Step 4: Now label THIEVES as T(1), H(2), I(3), E(4), V(5), E(6), S(7). Step 5: Apply the same positional pattern 3, 2, 1, 4, 7, 6, 5 to THIEVES, which gives I(3), H(2), T(1), E(4), S(7), E(6), V(5) or IHTESEV. Verification / Alternative check:Check that all letters of THIEVES appear exactly once in IHTESEV. Both contain T, H, I, two Es, V, and S. None of the letters are lost and none are duplicated beyond what appears in the original word. Also confirm the mapping on THUNDER again to ensure the positional pattern was not misread. Why Other Options Are Wrong: ITHESEV uses most letters but does not follow the 3, 2, 1, 4, 7, 6, 5 order of positions. IHTEESV shifts the second E into a different position than the pattern demands. IHTSEVE changes the relative ordering of S, E, and V and breaks the exact positional mapping. IHEESTV is simply a different scramble without any link to the specific pattern found from THUNDER. Common Pitfalls:Learners sometimes try to spot a visual pattern only and choose the option that looks closest to the original word. In coded rearrangement questions, however, small differences in order can completely change the correctness. Always decode the exact positional mapping first and then apply it systematically. Final Answer:The correct coded form of THIEVES is IHTESEV.

Question 10

Select the related number from the given alternatives. In a certain numeric pattern 534 is related to 645. Using the same rule, 381 will be related to which of the following numbers?

Accepted Answer

Introduction / Context:This is a number analogy question where one three digit number is connected to another by a simple arithmetic pattern. Once you identify the rule that converts 534 to 645, you must apply that same rule to 381 to obtain the missing related number. Given Data / Assumptions: Given pair: 534 : 645 Target pair: 381 : ? Options are all three digit numbers, so the rule should keep the magnitude similar. We assume a straightforward arithmetic relation such as addition or subtraction rather than complex operations. Concept / Approach:For numeric analogies, it is natural to first check the difference between the numbers in the first pair. If the difference is simple and clean, that difference is often the rule to use for the second pair. Occasionally, operations on individual digits are involved, but here a direct difference works very well and keeps the question at an easy level. Step-by-Step Solution: Step 1: Compute the difference between 645 and 534. Step 2: 645 − 534 = 111. Step 3: This suggests the rule number two equals number one plus 111. Step 4: Apply the same rule to 381. Compute 381 + 111. Step 5: 381 + 111 = 492. So 381 must be related to 492 by the same pattern. Verification / Alternative check:We can quickly test whether any of the other options give a constant difference when compared with 381. For example, 446 − 381 = 65, 486 − 381 = 105, and 412 − 381 = 31. None of these match 111. Only 492 − 381 = 111 which is exactly the difference found in the first pair, hence confirming the rule. Why Other Options Are Wrong: 446 does not preserve the difference of 111 when subtracted from 381. 486 produces a different difference and suggests a different rule, so it cannot match the given first pair. 412 is too close to 381 and does not fit a clean pattern linked with 534 and 645. 502 also breaks the simple plus 111 pattern and would make the analogy inconsistent. Common Pitfalls:Some candidates overcomplicate such questions by trying to manipulate individual digits or by searching for squares or cubes. Others may spot an incorrect difference due to arithmetic mistakes and then carry that error into the second pair. Careful subtraction and choosing the simplest possible pattern usually leads to the correct answer efficiently. Final Answer:Using the same rule, 381 is related to 492.

Question 11

In arithmetic terminology Product is related to Multiplication. Using the same relationship, Sum is related to which of the following?

Accepted Answer

Introduction / Context:This analogy question checks basic understanding of arithmetic terms and the operations that produce them. Product is the technical name for the result of one specific arithmetic operation. You must match Sum with the correct operation in exactly the same way. Given Data / Assumptions: Product is the result obtained when numbers are multiplied. We need the operation whose result is called Sum. Options include several mathematical words or contexts. The relation is result name to generating operation. Concept / Approach:In arithmetic vocabulary, each basic operation has an associated standard term for its result. The result of addition is called sum, the result of subtraction is difference, the result of multiplication is product, and the result of division is quotient. Therefore, we look for the operation that naturally produces a sum in this terminology. Step-by-Step Solution: Step 1: Understand the given pair. Product comes from the operation multiplication of two or more numbers. Step 2: Identify the target term. Sum is the quantity you obtain after adding numbers. Step 3: Recall that the basic operation which yields a sum is addition. Step 4: Scan the options and locate Addition. Step 5: Conclude that Sum is to Addition as Product is to Multiplication. Verification / Alternative check:Check other operations. Percentage is a way to express ratios as parts of 100 and is not the operation itself that directly names its result as sum. Comparison is a general action, not a core arithmetic operation with a specific result name. Division yields a quotient rather than a sum. Therefore none of these alternatives match the pattern as cleanly as addition does. Why Other Options Are Wrong: Comparison refers to examining two quantities and has no standard numerical result named sum. Percentage is a representation format or measure, not the operation whose result is sum. Numbers is too generic and does not name an operation. Division produces a quotient, not a sum, which breaks the analogy structure. Common Pitfalls:Some learners confuse terms like sum and total with general ideas about quantity and may select numbers or percentage. Others may overlook that the relation is between result name and generating operation. Remembering the standard result terms for each operation helps to answer many similar questions quickly and accurately. Final Answer:Sum is related to the operation Addition.

Question 12

In a letter code FHK corresponds to DFI by following a fixed alphabetical rule. Using the same rule, which of the following groups of letters will correspond to OQT?

Accepted Answer

Introduction / Context:This question belongs to the letter coding and analogy segment of verbal reasoning. You are given one coded pair of three letter groups and must deduce the underlying alphabetical shift. Then the same shift is applied to another three letter group to obtain the missing answer. Given Data / Assumptions: Original group one: FHK Coded group: DFI Original group two: OQT All coding uses forward or backward shifts within the English alphabet. Concept / Approach:In such letter analogies, the most direct method is to consider each position separately and see how many steps forward or backward each letter has moved. If the same shift applies to all letters of a group, that becomes the rule used to encode any new group in the same way. Step-by-Step Solution: Step 1: Determine positions of letters in FHK. F is 6, H is 8, K is 11. Step 2: Determine positions of letters in DFI. D is 4, F is 6, I is 9. Step 3: Compute the shifts. F (6) to D (4) is −2. H (8) to F (6) is −2. K (11) to I (9) is −2. So each letter is shifted two steps backward. Step 4: Apply the same shift to OQT. Positions are O = 15, Q = 17, T = 20. Step 5: Shift each letter by −2. O to M (13), Q to O (15), T to R (18). So OQT becomes MOR. Verification / Alternative check:Check that MOR appears exactly in the options and that no other option reflects the same constant backward shift of two from OQT. Also verify that applying the same rule again to FHK reproduces DFI, which confirms that the pattern has been correctly identified. Why Other Options Are Wrong: NPS involves a pattern of mixed shifts and does not correspond to a constant backward change of two for each letter. PRT is obtained by forward shifting from OQT rather than backward shifting. QSV is also based on forward movement in the alphabet and therefore breaks the analogy. MPR does not match a uniform shift of two steps from each letter of OQT and so cannot be correct. Common Pitfalls:Learners sometimes inspect only the first letter and choose any option where O seems to move to M or P. However, the rule must hold consistently for all letters in the group. Always check each position carefully and ensure the same shift applies in every case before finalising your answer. Final Answer:Using the same rule, OQT is coded as MOR.

Question 13

Observe the following number analogy: 10001 is related to 10101 according to a specific rule. Using the same numeric rule, 101 will be related to which of the following numbers?

Accepted Answer

Introduction / Context:This is a number analogy that tests your ability to spot a simple arithmetic transformation between two numbers and transfer it to a new pair. The pattern between 10001 and 10101 must be identified and then applied to 101 to obtain the correct related number from the options. Given Data / Assumptions: First pair: 10001 : 10101 Second pair: 101 : ? The numbers are in decimal notation and the relation is expected to be straightforward. Options are relatively small numbers, suggesting basic addition or subtraction. Concept / Approach:A common strategy is to look for the difference between the numbers in the first pair. If that difference is clean and easy to work with, we can propose that as the rule. That rule is then applied to the second base number, and the result must match one of the available choices. Step-by-Step Solution: Step 1: Compute the difference between 10101 and 10001. Step 2: 10101 − 10001 = 100. Step 3: This suggests that to obtain the second number in the pair, we add 100 to the first number. Step 4: Apply the same rule to 101. Compute 101 + 100. Step 5: 101 + 100 = 201. Hence 101 should be related to 201. Verification / Alternative check:Double check that there is no alternative rule that would generate a different option in a cleaner way. For example, multiplication or digit reversal patterns do not fit as neatly as a fixed addition of 100. Since the same plus 100 step works perfectly on the first pair and gives a unique matching option in the second pair, the rule is reliable. Why Other Options Are Wrong: 11 results from subtracting 90, which does not match the plus 100 pattern. 100 would require subtracting 1 instead of adding 100, which contradicts the first pair. 121 could arise from squaring 11, but there is no evidence of such a rule in the first pair. 301 would arise from adding 200 which is again inconsistent with the observed difference of 100. Common Pitfalls:Some test takers may be distracted by the repeated digits and assume a base conversion or pattern in the arrangement of ones and zeros. Others may try complex operations like squares or cubes. In many exam analogies, a simple arithmetic difference is sufficient, so it is wise to test that possibility first before attempting more advanced ideas. Final Answer:According to the same rule, 101 is related to 201.

Question 14

In the analogy Swim is to Water as Fly is to which of the following options?

Accepted Answer

Introduction / Context:This question checks your understanding of relationships between actions and the medium in which those actions happen. Swim is an action performed in a certain medium. You must identify the corresponding medium for the action Fly from the answer choices. Given Data / Assumptions: Action one: Swim Medium for this action: Water Action two: Fly We must find the correct medium for flying. Concept / Approach:The analogy is of the form Action : Medium. Swimming is movement through a liquid medium, namely water. Similarly, flying is movement through a different natural medium. So instead of matching an instrument or an agent, we must match the environment or substance through which the motion occurs in a normal context. Step-by-Step Solution: Step 1: Understand the first pair Swim : Water. The physical action Swim normally takes place in water such as a pool, lake, or sea. Step 2: Identify the second action Fly. Birds, insects, and airplanes fly through a particular natural medium. Step 3: Recall that this natural medium is the air that surrounds the earth. Step 4: Look through the options and select Air as the appropriate medium. Step 5: Confirm that the pattern becomes Swim : Water :: Fly : Air, which is consistent and complete. Verification / Alternative check:Check whether any other option might seem plausible at first glance. Wings are a body part or tool used for flying, not the medium. Bird and Plane are agents or vehicles that fly, not the environment. Sky is a region of space, but technically flying takes place in the air that fills the sky. Therefore Air is the most accurate parallel to Water in the analogy. Why Other Options Are Wrong: Bird represents a living creature that performs the action, not the medium of motion. Wings are an organ that enables flight, again not the medium. Plane is a machine that flies, which would parallel swimmer rather than water. Sky is a general area above ground and not strictly the physical medium like water. Common Pitfalls:Candidates often confuse agent, instrument, and medium. The first pair does not say Swimmer : Water but Swim : Water, so you must stay consistent with the type of relation. When in doubt, write down the pattern in words, for example Action is performed in Medium, and ensure the second pair matches the same form. Final Answer:Fly is related to the medium Air in the same way as Swim is related to Water.

Question 15

In a certain code the letter group GIK is related to PRT. Using the same alphabetical pattern, to which group of letters will DFH be related?

Accepted Answer

Introduction / Context:This is a three letter to three letter code analogy. The first group GIK is converted to PRT by an apparent uniform shift in the alphabet. The same transformation must then be applied to DFH in order to find the correct coded group in the answer choices. Given Data / Assumptions: Original letters: GIK Coded letters: PRT Target original letters: DFH All coding uses forward shifts within the English alphabet without reversing order. Concept / Approach:To solve such questions, you should convert each letter to its numerical position and then find the difference between corresponding letters. If the same amount is added to each letter, that constant shift becomes the coding rule, which can be applied to any new letter group to find its code. Step-by-Step Solution: Step 1: Write positions for GIK. G is 7, I is 9, K is 11. Step 2: Write positions for PRT. P is 16, R is 18, T is 20. Step 3: Compute shifts. From G (7) to P (16) is +9. From I (9) to R (18) is +9. From K (11) to T (20) is +9. So the rule is plus nine for each letter. Step 4: Now find positions for DFH. D is 4, F is 6, H is 8. Step 5: Add 9 to each: 4 + 9 = 13 (M), 6 + 9 = 15 (O), and 8 + 9 = 17 (Q). So DFH becomes MOQ. Verification / Alternative check:Confirm that MOQ is present among the options and check that no other option corresponds to a constant shift of +9 from DFH. Rechecking the shift from GIK to PRT ensures there was no miscalculation. Since the same +9 rule works perfectly for both triplets, MOQ is the unique correct code. Why Other Options Are Wrong: LNP does not match a consistent shift of +9 from DFH; the underlying letter positions do not align. RPN would require different shifts for different letters and breaks the uniform rule. JLN arises from a smaller shift and does not reflect the needed +9 step. NQS also does not correspond to simply adding 9 to each of D, F, and H. Common Pitfalls:Some learners check only the first letter pair and choose any option where D appears to move close to M or N without confirming the remaining letters. Alphabet coding questions require consistent application of the rule across all positions. Always verify every letter and do not rely on partial matches or visual guesses. Final Answer:Using the same alphabetical pattern, DFH is coded as MOQ.

Question 16

Observe the following numerical analogy: 55 is related to 11 according to a specific operation. Using the same rule, 125 will be related to which of the following numbers?

Accepted Answer

Introduction / Context:This question involves a simple numerical analogy based on division. The number 55 is related to 11 in a particular way, and you must discover that relation and then apply it consistently to 125 to find the correct answer from the options. Given Data / Assumptions: First pair: 55 : 11 Second pair: 125 : ? All numbers are positive integers and the pattern is likely to use basic arithmetic operations such as multiplication or division. Concept / Approach:A natural first check is to see if the second number is a factor or multiple of the first. If so, the relation may be simple division or multiplication. Here, 55 divided by 11 gives a neat integer, which strongly suggests that division by 5 or division by another factor is involved in the pattern. Step-by-Step Solution: Step 1: Compute 55 divided by 11. We have 55 / 11 = 5. Step 2: Notice that 55 = 11 × 5. Hence relation can be expressed as first number equals 11 times second or second equals first divided by 5. Step 3: If the rule is division by 5, apply it to 125. Step 4: Compute 125 / 5 = 25. Step 5: Therefore, under the same rule, 125 is related to 25. Verification / Alternative check:Test whether any other simple rule could work. For example, subtracting 44 from 55 gives 11, so one might check subtracting 44 from 125 which yields 81, but 81 is not an option. By contrast, division by 5 turns both 55 and 125 into reasonable results and matches an available choice for the second pair. This confirms division by 5 as the intended pattern. Why Other Options Are Wrong: 22 would come from dividing 125 by a value close to 5.7, which is not a clean parallel to 55 and 11. 5 is the result of 55 divided by 11, not the result for 125 under the same division rule. 101 has no simple relation to 125 based on the 55 to 11 pattern. 15 would require division of 125 by approximately 8.33, which does not match the first pair. Common Pitfalls:Some candidates focus only on the numeric difference between the two numbers instead of considering division. Others might misapply the factor and try to divide by 11 in both cases, which would not give an integer from 125. Always check divisibility and choose the simplest consistent rule that works for both pairs. Final Answer:Using the same rule, 125 is related to 25.

Question 17

Complete the verbal analogy: Night is to Stars as Day is to which of the following?

Accepted Answer

Introduction / Context:This is a basic verbal analogy question about everyday phenomena. At night we commonly see a particular celestial object or group of objects. In the same style, during the day there is another dominant object in the sky. Recognising these everyday associations is important for simple reasoning tasks. Given Data / Assumptions: First pair: Night : Stars Second pair: Day : ? We are referring to normal clear sky conditions and common associations in science and daily life. Concept / Approach:Night time is strongly associated with stars that become visible when the sky is dark. Day time is strongly associated with the bright celestial body that lights up the sky and hides most stars from view. Therefore the pattern is time of day matched to its most prominent celestial object in that time period. Step-by-Step Solution: Step 1: Understand that Night in the first pair corresponds to Stars, which are visible points of light in the night sky. Step 2: Consider what object the Day is mainly associated with in the sky. Step 3: Recall that the Sun is the star whose apparent motion produces day and provides daylight on Earth. Step 4: Look through the options to find Sun. Step 5: Conclude that the complete analogy is Night : Stars :: Day : Sun. Verification / Alternative check:Confirm that no other option represents such a strong and direct association with day. The colour Blue is often used to describe the sky but is not a celestial object. Work is an activity, not an astronomical body. Planet is too general and could refer to many worlds in space. Moon is associated more with night, though it can be visible in the day, but it is not the primary cause of daylight. Why Other Options Are Wrong: Blue describes the typical sky colour but not the object that defines day. Work is a human activity and does not match the celestial object relation. Planet is a class of objects and not uniquely tied to day. Moon is visible in both day and night and is not the main creator of day, unlike the Sun. Common Pitfalls:Some test takers may quickly relate Night to Moon and then try to match Day with another object, leading to confusion. However the question clearly pairs Night with Stars, so you should look for a similarly dominant object for the daytime sky. Paying close attention to what is explicitly given helps avoid such misinterpretations. Final Answer:Day is related to Sun in the same way as Night is related to Stars.

Question 18

In a letter analogy BEH corresponds to KNQ. Using the same pattern of alphabetical shifts, FIL will correspond to which of the following letter groups?

Accepted Answer

Introduction / Context:This question tests your ability to recognise consistent alphabetical shifts. A three letter group BEH is related to KNQ by a constant forward movement in the alphabet. You must first identify that shift and then apply it to the group FIL to find its corresponding code. Given Data / Assumptions: Original letters: B, E, H Coded letters: K, N, Q Target original group: F, I, L All shifts are within the standard English alphabet and are uniform for this pair. Concept / Approach:The standard way to handle such analogies is to assign each letter its position in the alphabet, compute the difference from original to coded letter for each position, and check if a constant shift has been applied. If so, we can apply the same shift to the new letter group to generate the correct coded group. Step-by-Step Solution: Step 1: Find positions of B, E, and H. B = 2, E = 5, H = 8. Step 2: Find positions of K, N, and Q. K = 11, N = 14, Q = 17. Step 3: Calculate shifts. From B (2) to K (11) is +9, from E (5) to N (14) is +9, and from H (8) to Q (17) is +9. So the rule is plus nine for each letter. Step 4: Now compute positions for F, I, L which are 6, 9, and 12. Step 5: Add 9 to each: 6 + 9 = 15 (O), 9 + 9 = 18 (R), 12 + 9 = 21 (U). So FIL becomes ORU. Verification / Alternative check:Verify that ORU appears in the options and make sure no other choice can be obtained by a constant shift of +9 from FIL. Recheck the original mapping BEH to KNQ to confirm that the same rule is applied consistently. Since all three letters match the shift, ORU is uniquely correct. Why Other Options Are Wrong: ONM does not fit a single constant shift from FIL and breaks the pattern in at least one position. NLJ would require different adjustments for each letter and is inconsistent with the clear plus nine rule. OMK is derived by a mix of shifts and does not respect the uniformity seen in the original pair. PRS has different starting letters and cannot be generated from FIL by a constant movement. Common Pitfalls:Some candidates focus on rough letter similarity and choose options that look visually close, for example starting with O. However, the key to such questions is the exact numerical shift, not approximate shape. Always convert letters to numbers, check the shift, and then apply that shift carefully to the new group. Final Answer:Following the same pattern, FIL is coded as ORU.

Question 19

In the following numerical analogy 6 is related to −3. Using the same pattern, −18 will be related to which of the following numbers?

Accepted Answer

Introduction / Context:This is a number analogy question involving both positive and negative numbers. The relation between 6 and minus 3 is used as a model, and you must apply the same arithmetic rule to minus 18 to determine the correct related number among the options. Given Data / Assumptions: First pair: 6 : −3 Second pair: −18 : ? Options include positive and negative values, so sign must be treated carefully. Concept / Approach:One direct way to connect 6 and minus 3 is to use multiplication by a constant factor. If 6 is multiplied by a certain number to produce minus 3, the same factor can then be applied to minus 18. Division gives the same information as multiplication by the reciprocal, so either viewpoint leads to the same factor and rule. Step-by-Step Solution: Step 1: Work out how 6 changes to minus 3. Calculate minus 3 divided by 6. Step 2: minus 3 / 6 = minus 0.5, so 6 multiplied by minus 0.5 equals minus 3. Step 3: This means the rule can be described as multiply the first number by minus one half. Step 4: Apply this rule to minus 18. Multiply minus 18 by minus 0.5. Step 5: minus 18 × minus 0.5 = plus 9, so the related number must be 9. Verification / Alternative check:Notice that the magnitude halves from 6 to 3 and from 18 to 9. The sign also flips once because multiplying a positive by a negative gives a negative, and then multiplying a negative by a negative returns a positive. This is consistent with basic sign rules and confirms the pattern. None of the other options produce such a neat and symmetric relation with both pairs. Why Other Options Are Wrong: 3 would result from dividing minus 18 by minus 6, which does not match the original pair. Minus 9 corresponds to multiplying minus 18 by 0.5 without changing the sign, which contradicts the given transformation. Minus 6 would require multiplying minus 18 by one third, not by minus one half. 6 would represent a move from negative to positive with a different factor and does not keep the same proportional change. Common Pitfalls:Many students focus only on the sign reversal and ignore the magnitude change, or they notice the halving of magnitude but forget about the sign flip. Always consider both aspects. Check whether the chosen factor simultaneously explains both the numeric size and the sign change in the first pair before applying it to the second pair. Final Answer:Using the same pattern, minus 18 is related to 9.

Question 20

Four groups of letters are given. Three of them follow the same alphabetical pattern, while one group is different. Select the group of letters that is the odd one out.

Accepted Answer

Introduction / Context:This is an odd one out question involving groups of three letters. In three of the options, the letters follow the same consistent pattern of alphabetical spacing. One group breaks that pattern. You must observe and compare these patterns to identify which set of letters is different from the others. Given Data / Assumptions: Letter group one: JPV Letter group two: UIO Letter group three: KQW Letter group four: LRX Letter group five: EKQ Concept / Approach:A useful approach is to convert letters to their alphabet positions and examine the differences between consecutive letters in each group. If most groups share the same consistent difference pattern, the group with a different pattern will be the odd one out. Here we look for equal jumps between first to second and second to third letters. Step-by-Step Solution: Step 1: For JPV, positions are J = 10, P = 16, V = 22. Differences are 16 − 10 = 6 and 22 − 16 = 6. Step 2: For KQW, positions are K = 11, Q = 17, W = 23. Differences are 17 − 11 = 6 and 23 − 17 = 6. Step 3: For LRX, positions are L = 12, R = 18, X = 24. Differences again are 6 and 6. Step 4: For EKQ, positions are E = 5, K = 11, Q = 17. Differences are 11 − 5 = 6 and 17 − 11 = 6. Step 5: For UIO, positions are U = 21, I = 9, O = 15. Differences are 9 − 21 = −12 and 15 − 9 = 6, which do not match the plus six, plus six pattern. Verification / Alternative check:Since JPV, KQW, LRX, and EKQ all follow the pattern of successive letters increasing by six positions, they form one consistent group. UIO is the only group where the sequence first moves backward by twelve and then forward by six. This clearly breaks the common pattern and confirms UIO as the odd one out. Why Other Options Are Wrong: JPV shows a regular spacing of plus six between each pair of letters. KQW follows the same plus six, plus six pattern. LRX also maintains the constant difference of six between letters. EKQ continues the exact same rule and therefore fits the majority pattern. Common Pitfalls:Some candidates may be tempted to focus on letter shapes or whether letters are consonants or vowels. Others may overlook that U in UIO is much later in the alphabet than I. The safest method for such questions is always to convert letters to numbers and systematically compute differences, which reveals the pattern more reliably than visual inspection. Final Answer:The odd letter group is UIO.

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