Sample PYQs from this paper with answers and explanations — sign in for the full paper in the app.
Question 1 Reasoning
A says: 'She is the daughter of my father's only son.' How is the girl related to A?
- A. Sister
- B. Cousin
- C. Mother
- D. Daughter
Correct answer: D. Daughter
Correct answer (Option D):\nLet's decode the relationship step-by-step based on A's statement:\n1. 'My father's only son': Since A is referring to his father's only son, this person must be A himself (assuming A is male) or it defines the male identity of that specific branch. In standard blood relation logic, 'my father's only son' points directly to A.\n2. 'She is the daughter of...': This means the girl is the daughter of A.\nTherefore, the girl is related to A as his Daughter.\nOption D is correct.\n\nWhy others are wrong:\nOption A is incorrect because 'sister' would require her to be a daughter of A's father, not the son's daughter.\nOption B is incorrect because 'cousin' involves children of uncles or aunts, whereas this is a direct vertical lineage.\nOption C is incorrect because 'mother' represents an older generation, not a descendant.\n\nStudy tip:\nIn blood relation problems, always break down the sentence starting from the possessive pronoun like 'my'. Track down each generation level separately to clear up any ambiguity.
Question 2 Reasoning
If 4 # 3 = 19 and 6 # 5 = 41, then 8 # 7 = ?
- A. 63
- B. 65
- C. 71
- D. 73
Correct answer: C. 71
Correct answer (Option C):\nLet's analyze the mathematical operations behind the operator #:\nFirst case: 4 # 3 = 19\nStep 1: (4 × 3) + (4 + 3)\nStep 2: 12 + 7 = 19\n\nSecond case: 6 # 5 = 41\nStep 1: (6 × 5) + (6 + 5)\nStep 2: 30 + 11 = 41\n\nThe established logic is: A # B = (A × B) + (A + B)\n\nApplying this pattern to the target numbers 8 and 7:\nStep 1: (8 × 7) + (8 + 7)\nStep 2: 56 + 15\nStep 3: 71\nThus, 8 # 7 = 71.\nOption C is correct.\n\nWhy others are wrong:\nOptions A, B, and D do not satisfy the mathematical formula derived from the given pattern. They represent simple arithmetic miscalculations or random guesses.\n\nStudy tip:\nOperator-based coding questions generally rely on standard algebraic combinations such as sum of products, sum of squares, or difference of products. Test basic operational hypotheses sequentially starting with simple multiplication and addition.
Question 3 Reasoning
If LIGHT is coded as KJFIS, then HEAVY is coded as?
- A. GEZWX
- B. GFZWX
- C. GFZXX
- D. GFYWX
Correct answer: B. GFZWX
Correct answer (Option B):\nLet's analyze the letter shifts between the word LIGHT and its code KJFIS:\nL → K (-1)\nI → J (+1)\nG → F (-1)\nH → I (+1)\nT → S (-1)\nThe coding pattern alternates strictly as: -1, +1, -1, +1, -1\n\nNow, let's apply this exact pattern to the word HEAVY:\nH - 1 = G\nE + 1 = F\nA - 1 = Z (wrapping backward around the alphabet)\nV + 1 = W\nY - 1 = X\nCombining these results, HEAVY is coded as GFZWX.\nOption B is correct.\n\nWhy others are wrong:\nOption A uses an incorrect shift for the second letter (E - 2 instead of E + 1).\nOption C miscalculates the final shift, yielding X instead of the accurate sequence.\nOption D incorrectly substitutes Y for the fourth element, violating the alternating rule.\n\nStudy tip:\nWhen encountering alphabetical shift codes, map out the numerical positions (A=1, B=2, ..., Z=26) to accurately calculate shifts across boundaries like A to Z.
Question 4 Quantitative Aptitude
If 7x + 5 = 61 then x = ?
- A. 7
- B. 8
- C. 9
- D. 10
Correct answer: B. 8
Correct answer (Option B):\nLet's solve the linear algebraic equation step-by-step:\nGiven equation: 7x + 5 = 61\nStep 1: Subtract 5 from both sides of the equation:\n7x = 61 - 5\n7x = 56\nStep 2: Isolate x by dividing both sides by 7:\nx = 56 / 7\nx = 8\nHence, the value of x is 8.\nOption B is correct.\n\nWhy others are wrong:\nOption A (7): 7(7) + 5 = 49 + 5 = 54 ≠ 61.\nOption C (9): 7(9) + 5 = 63 + 5 = 68 ≠ 61.\nOption D (10): 7(10) + 5 = 70 + 5 = 75 ≠ 61.\n\nStudy tip:\nLinear equations are easily verified by substituting the options back into the original algebraic expression. This ensures quick validation during exam pressure.
Question 5 Reasoning
Statement: 'The government should regulate plastic usage strictly.'\nAssumptions:\nI. Plastic causes environmental damage.\nII. Regulations can reduce plastic usage.
- A. Only I
- B. Only II
- C. Both I and II
- D. Neither I nor II
Correct answer: C. Both I and II
Correct answer (Option C):\nAn assumption is something implicit, taken for granted when a statement is made. Let's evaluate both assumptions:\nAssumption I: If the government is being advised to strictly regulate plastic, it implies that plastic poses a significant issue or hazard, such as environmental damage. Thus, I is implicit.\nAssumption II: Proposing regulations implies an underlying belief that rules or restrictions are effective mechanisms capable of decreasing plastic usage. Thus, II is also implicit.\nConsequently, both assumptions I and II logically support the statement.\nOption C is correct.\n\nWhy others are wrong:\nOptions A and B are incomplete because they omit one of the fundamentally implicit components required to make such an official recommendation. Option D is incorrect as both clauses are tightly correlated with the core statement.\n\nStudy tip:\nWhen evaluating statements and assumptions, assume that the policy or action mentioned is being pursued because it is beneficial and actionable. If an assumption points to a core cause or validates the efficacy of the action, it is generally implicit.