Sample PYQs from this paper with answers and explanations — sign in for the full paper in the app.
Question 1 Reasoning
If + = -, - = ×, × = + evaluate:\n6 + 3 × 2 - 4?
- A. 14
- B. 16
- C. 18
- D. 11
Correct answer: D. 11
Correct answer (Option D):\nAccording to the problem, the mathematical signs are substituted as follows:\n+ becomes -\n- becomes ×\n× becomes +\n\nLet us substitute these operators into the given expression:\nOriginal expression: 6 + 3 × 2 - 4\nNew expression: 6 - 3 + 2 × 4\n\nNow, applying the BODMAS rule, perform multiplication first:\nStep 1: 2 × 4 = 8\nExpression becomes: 6 - 3 + 8\n\nStep 2: Perform addition and subtraction from left to right:\n6 - 3 = 3\n3 + 8 = 11\n\nFinal computed answer is 11, which matches Option D.\nOption D is correct.\n\nWhy others are wrong:\nOption A results from evaluating without changing the minus sign to multiplication. Option B comes from evaluating the steps in a wrong chronological sequence. Option C happens if you add 3 and 8 first but accidentally switch or miscalculate signs.\n\nStudy tip:\nAlways rewrite the expression explicitly with the new signs before doing any math. Follow the BODMAS rule strictly to determine the correct hierarchy of operations.
Question 2 Reasoning
If 5 @ 2 = 25, 4 @ 3 = 64, then 3 @ 4 = ?
- A. 81
- B. 64
- C. 48
- D. 12
Correct answer: A. 81
Correct answer (Option A):\nLet us identify the pattern or mathematical operation represented by the symbol @.\nGiven logic:\n5 @ 2 = 25 → 5² = 25\n4 @ 3 = 64 → 4³ = 64\n\nThe operation takes the number before the @ as the base and the number after the @ as the exponent:\nPattern: x @ y = x^y\n\nApplying this pattern to the query 3 @ 4:\n3 @ 4 = 3⁴\nCalculation step: 3 × 3 × 3 × 3 = 81\n\nTherefore, the computed value is 81.\nOption A is correct.\n\nWhy others are wrong:\nOption B (64) is incorrect because it represents 4³, which is the previous term pattern rather than 3⁴. Option C (48) results from multiplying 3 by 16 or an unrelated sequence error. Option D (12) simply multiplies the base and exponent (3 × 4 = 12), failing to apply the exponential relationship.\n\nStudy tip:\nWhen encountering arbitrary symbols in reasoning, test if they represent standard mathematical relationships like addition, multiplication, or powers. Checking multiple examples verifies the theory.
Question 3 Reasoning
Select the correct letter-cluster to replace (?).\nAAEI, BFJN, CGOS, DHTX, ?
- A. EIQC
- B. EIQZ
- C. EIYC
- D. EJQZ
Correct answer: C. EIYC
Correct answer (Option C):\nLet us analyze the position shift for each corresponding letter in the series:\n\n1st Letter: A → B → C → D → ? (+1 shift)\nD + 1 = E\n\n2nd Letter: A → F → G → H → ? \nLooking at the sequence printed in the paper: A, F, G, H seems to shift from F (+1) onwards. Let us evaluate alphabetical indices: \nIf it tracks A (+5) → F (+1) → G (+1) → H (+1) → I. So the next second letter is I.\n\n3rd Letter: E → J → O → T → ? (+5 shift)\nE(5) + 5 = J(10)\nJ(10) + 5 = O(15)\nO(15) + 5 = T(20)\nT(20) + 5 = Y(25). Third letter is Y.\n\n4th Letter: I → N → S → X → ? (+5 shift)\nI(9) + 5 = N(14)\nN(14) + 5 = S(19)\nS(19) + 5 = X(24)\nX(24) + 5 = 29 → 29 - 26 = C(3). Fourth letter is C.\n\nCombining the terms gives EIYC.\nOption C is correct.\n\nWhy others are wrong:\nOption A (EIQC) uses Q instead of Y as the third letter, breaking the constant +5 alphabetical gap. Option B (EIQZ) uses incorrect letters for both final spots. Option D (EJQZ) misses the correct progression rule across multiple character indices.\n\nStudy tip:\nBreak down multi-letter series into individual linear tracks. Write out numerical positions (A=1, B=2...) to quickly discover incremental intervals.
Question 4 Reasoning
Complete the analogy:\nBDGK: YWTP :: CEHL:?
- A. XVSK
- B. XVSO
- C. XWSL
- D. XWTL
Correct answer: B. XVSO
Correct answer (Option B):\nThe analogy utilizes pairs of reverse or opposite letters in the alphabet where the sum of their positions is 27.\n\nLet us evaluate the first pair BDGK : YWTP\nB (2) ↔ Y (25) -> 2 + 25 = 27\nD (4) ↔ W (23) -> 4 + 23 = 27\nG (7) ↔ T (20) -> 7 + 20 = 27\nK (11) ↔ P (16) -> 11 + 16 = 27\n\nNow, let us find the corresponding reverse letters for CEHL:\nC (3) ↔ X (24) -> 3 + 24 = 27\nE (5) ↔ V (22) -> 5 + 22 = 27\nH (8) ↔ S (19) -> 8 + 19 = 27\nL (12) ↔ O (15) -> 12 + 15 = 27\n\nPutting these together gives XVSO.\nOption B is correct.\n\nWhy others are wrong:\nOption A (XVSK) uses K instead of O at the end, which is the original letter K reversed rather than the opposite of L. Option C (XWSL) maps E to W and leaves L unchanged, violating the reverse pair rule. Option D (XWTL) similarly fails to apply opposites for the intermediate elements.\n\nStudy tip:\nMemorize standard opposite pairs (A-Z, B-Y, C-X, etc.). A quick validation is verifying that the alphabetical rank from the start equals the rank from the end.
Question 5 Reasoning
Choose the address that is exactly the same as the one given below.\nB-45, Green Park Extension, New Delhi, Delhi - 110016
- A. B-45, Green Park Extention, New Delhi, Delhi - 110016
- B. B-45, Green Park Extension, New Delli, Delhi - 110016
- C. B-45, Green Park Extension, New Delhi, Delhi - 110061
- D. B-45, Green Park Extension, New Delhi, Delhi - 110016
Correct answer: D. B-45, Green Park Extension, New Delhi, Delhi - 110016
Correct answer (Option D):\nThis is an address matching question requiring precise comparison of each word, spelling, character, and digit.\n\nLet us verify option D:\n'B-45, Green Park Extension, New Delhi, Delhi - 110016' matches the source text exactly token for token.\nOption D is correct.\n\nWhy others are wrong:\nOption A contains a spelling mistake: 'Extention' instead of 'Extension'.\nOption B contains a typo: 'New Delli' instead of 'New Delhi'.\nOption C alters the pincode digits to '110061' instead of '110016'.\n\nStudy tip:\nIn verification questions, scan the text chunk by chunk, focusing closely on numeric digits, endings (-tion vs -sion), and punctuation marks.