Bonus Practice Set — Mixed Reasoning & Quantitative Aptitude (30 Questions)
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This bonus set offers thirty additional mixed questions (15 Reasoning, 15 Quantitative Aptitude) with complete explanations, for last-mile revision before the exam.
Part A: Reasoning Ability (Q1–15)
- Six friends sit around a circular table facing the centre. A7 sits second to the right of B7. C7 sits opposite B7. Where does C7 sit relative to A7?
(a) Third to the left (b) Second to the right (c) Opposite A7 (d) Immediately right - A is the father of B. C is the daughter of B. How is A related to C?
(a) Grandfather (b) Father (c) Uncle (d) Brother - Find the next term: 3, 10, 24, 52, ?
(a) 108 (b) 104 (c) 112 (d) 100 - If in a code, APPLE is coded as BQQMF, how is ORANGE coded using the same rule?
(a) PSBOHF (b) PSBOHG (c) PSBNHF (d) OSBOHF - In a row of 60 people, Dev is 22nd from the left. What is his position from the right?
(a) 39th (b) 38th (c) 40th (d) 37th - Choose the odd one out.
(a) Fan (b) Chair (c) Table (d) Cupboard - Premises: "All surgeons are doctors. All doctors are trained." Which conclusion follows?
(a) All surgeons are trained (b) All trained people are surgeons (c) No surgeons are trained (d) Some doctors are not surgeons - Find the missing number: 7, 15, 31, 63, ?
(a) 127 (b) 123 (c) 131 (d) 119 - A is the daughter of B. C is the son of B. How is A related to C?
(a) Sister (b) Mother (c) Aunt (d) Cousin - Complete the series: BD, FH, JL, NP, ?
(a) RT (b) RS (c) QT (d) ST - Statement: All colleges are educational institutions. No educational institution is unaccredited. Conclusion: No college is unaccredited.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - Given: A > B ≥ C and C > D. Which relationship necessarily holds between A and D?
(a) A > D (b) A < D (c) A = D (d) Cannot be determined - Data Sufficiency: "What is the value of z?" Statement I: 11z − 22 = 99. Statement II: z is odd. Which is sufficient?
(a) Statement I alone is sufficient, Statement II alone is not (b) Statement II alone is sufficient, Statement I alone is not (c) Both together are required (d) Neither is sufficient even together - Find the missing term: 5, 13, 29, 61, ?
(a) 125 (b) 121 (c) 129 (d) 117 - Choose the odd one out.
(a) Ganga (b) Delhi (c) Mumbai (d) Kolkata
Part B: Quantitative Aptitude (Q16–30)
- Find the simple interest on ₹40,000 at 9% per annum for 4 years.
(a) ₹14,400 (b) ₹14,000 (c) ₹14,800 (d) ₹13,800 - An article is sold for ₹1,265 after a markup of 15% on cost price. Find the cost price.
(a) ₹1,100 (b) ₹1,080 (c) ₹1,120 (d) ₹1,060 - The average of 30 numbers is 45. If one number is removed, the average of the remaining 29 numbers becomes 44. Find the removed number.
(a) 74 (b) 72 (c) 76 (d) 70 - Divide ₹720 between two people in the ratio 11:9. Find the larger share.
(a) ₹396 (b) ₹390 (c) ₹400 (d) ₹384 - 60% of a number is 900. Find the number.
(a) 1,500 (b) 1,450 (c) 1,550 (d) 1,400 - Find the compound interest on ₹40,000 for 2 years at 5% per annum, compounded annually.
(a) ₹4,100 (b) ₹4,000 (c) ₹4,200 (d) ₹3,900 - Two pipes can fill a tank in 6 and 12 minutes respectively. If both are opened together, how long will they take to fill the tank?
(a) 4 minutes (b) 5 minutes (c) 3 minutes (d) 6 minutes - A boat's speed in still water is 12 km/h and the stream's speed is 3 km/h. Find the time to travel 45 km upstream.
(a) 5 hours (b) 4 hours (c) 6 hours (d) 4.5 hours - An article with cost price ₹400 is sold for ₹460. Find the profit percentage.
(a) 15% (b) 12% (c) 18% (d) 10% - A's present age is three times B's present age. Five years ago, A's age was five times B's age. Find B's present age.
(a) 10 years (b) 8 years (c) 12 years (d) 6 years - Find the area of a rectangle with length 45 cm and breadth 32 cm.
(a) 1,440 sq cm (b) 1,400 sq cm (c) 1,480 sq cm (d) 1,360 sq cm - Two numbers are in the ratio 7:9. If their sum is 384, find the larger number.
(a) 216 (b) 210 (c) 220 (d) 205 - A sum of ₹42,000 is divided between A and B such that A's share is 10% more than B's share. Find B's share.
(a) ₹20,000 (b) ₹21,000 (c) ₹19,000 (d) ₹22,000 - Find the average of the first 200 natural numbers.
(a) 100.5 (b) 100 (c) 101 (d) 99.5 - A shopkeeper marks an article 30% above cost price and gives a discount of 10%. Find the overall profit percentage.
(a) 17% (b) 15% (c) 19% (d) 20%
Part C: Additional Mixed Practice (Q31–40)
- Eight friends sit around a circular table facing outward. K7 occupies one seat; L7 sits third to the right of K7; M7 sits opposite K7. Who sits third to the left of L7?
(a) K7 (b) M7 (c) Cannot be determined (d) L7 - A is the brother of B. C is the mother of B. How is A related to C?
(a) Son (b) Nephew (c) Brother (d) Father - Find the next term: 6, 14, 30, 62, ?
(a) 126 (b) 124 (c) 128 (d) 122 - If in a code, SMILE is written as TNJMF, how is FRIEND written using the same rule?
(a) GSJFOE (b) GSJFOF (c) GSJEOE (d) FSJFOE - Choose the odd one out.
(a) Bangle (b) Necklace (c) Earring (d) Umbrella - Divide ₹36,000 between A and B such that A's share is 50% more than B's share. Find B's share.
(a) ₹14,400 (b) ₹15,000 (c) ₹13,800 (d) ₹15,600 - Find the value of x: x² − 21x + 108 = 0 (smaller root).
(a) 9 (b) 12 (c) 8 (d) 13 - Two pipes can fill a tank in 10 and 12 minutes respectively. A third pipe can empty it in 20 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 7.5 minutes (b) 8 minutes (c) 9 minutes (d) 7 minutes - A train 300 m long crosses a pole in 15 seconds. Find its speed in km/h.
(a) 72 km/h (b) 70 km/h (c) 74 km/h (d) 68 km/h - Find the average of the first 50 odd natural numbers.
(a) 50 (b) 49 (c) 51 (d) 48
Answer Key with Explanations
1.(a) A7 sits second to the right of B7 on a six-seat circle; C7 sits opposite B7. Tracing the seats around, C7 falls third to the left of A7.
2.(a) A is B's father, and C is B's daughter, so A is C's grandfather.
3.(a) Each term follows ×2+4: 3×2+4=10, 10×2+4=24, 24×2+4=52, 52×2+4=108.
4.(a) Each letter is shifted forward by one position: O→P, R→S, A→B, N→O, G→H, E→F, giving ORANGE → PSBOHF.
5.(a) Position from the right = total − position from left + 1 = 60 − 22 + 1 = 39th.
6.(a) Chair, Table, and Cupboard are all pieces of furniture; a Fan is an electrical appliance, making it the odd one out.
7.(a) All surgeons are doctors, and all doctors are trained, so by transitivity all surgeons are trained.
8.(a) Each term follows ×2+1: 7×2+1=15, 15×2+1=31, 31×2+1=63, 63×2+1=127.
9.(a) A is B's daughter, and C is B's son, so A is C's sister.
10.(a) Each letter pair shifts forward by 4: B+4=F, D+4=H; F+4=J, H+4=L; J+4=N, L+4=P; N+4=R, P+4=T, giving RT.
11.(a) All colleges are educational institutions, and no educational institution is unaccredited, so no college is unaccredited — the conclusion follows validly by transitivity.
12.(a) A > B ≥ C and C > D together give A > D, since A is strictly greater than B, which is at least as large as C, which is strictly greater than D.
13.(a) Statement I: 11z = 121, so z = 11, a unique value — sufficient alone. Statement II only says z is odd, which has many possible values — not sufficient alone.
14.(a) Each term follows ×2+3: 5×2+3=13, 13×2+3=29, 29×2+3=61, 61×2+3=125.
15.(a) Delhi, Mumbai, and Kolkata are all cities; the Ganga is a river, making it the odd one out.
16.(a) Simple interest = (40,000×9×4)/100 = ₹14,400.
17.(a) Cost price = 1,265/1.15 = ₹1,100.
18.(a) Total of 30 numbers = 30×45 = 1,350; total of remaining 29 = 29×44 = 1,276; removed number = 1,350−1,276 = 74.
19.(a) The parts total 11+9 = 20; each part = 720/20 = 36; larger share = 11×36 = ₹396.
20.(a) The number = 900/0.60 = 1,500.
21.(a) Amount = 40,000×(1.05)² = 44,100; compound interest = ₹4,100.
22.(a) Combined fill rate = 1/6+1/12 = 2/12+1/12 = 3/12 = 1/4, so together they take 4 minutes.
23.(a) Upstream speed = 12−3 = 9 km/h; time = 45/9 = 5 hours.
24.(a) Profit = 460−400 = ₹60; profit percentage = (60/400)×100 = 15%.
25.(a) Let B's present age be x and A's be 3x; five years ago, 3x−5 = 5(x−5), giving 3x−5 = 5x−25, so 2x=20, x=10.
26.(a) Area = 45×32 = 1,440 sq cm.
27.(a) The parts total 7+9 = 16; each part = 384/16 = 24; larger number = 9×24 = 216.
28.(a) A's share is 1.1 times B's (10% more), giving an 11:10 ratio; each of the 21 parts = 42,000/21 = 2,000, so B's share = 10×2,000 = ₹20,000.
29.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 200 is 201/2 = 100.5.
30.(a) Marking 30% above cost price and giving a 10% discount gives selling price = CP×1.30×0.90 = 1.17×CP, a net profit of 17%.
31.(a) Numbering the eight seats 1 to 8 clockwise with K7 at seat 1: L7, third to the right, is at seat 4; M7, opposite K7, is at seat 5. Third to the left of L7 (seat 4) is seat 1, which is K7.
32.(a) A is B's brother, and C is B's mother, so A is also C's child, that is, C's son.
33.(a) Each term follows ×2+2: 6×2+2=14, 14×2+2=30, 30×2+2=62, 62×2+2=126.
34.(a) Each letter of FRIEND is shifted forward by one position: F→G, R→S, I→J, E→F, N→O, D→E, giving GSJFOE.
35.(a) Bangle, Necklace, and Earring are all items of jewellery; an Umbrella is not, making it the odd one out.
36.(a) A's share is 1.5 times B's (50% more), giving a 3:2 ratio; each of the 5 parts = 36,000/5 = 7,200, so B's share = 2×7,200 = ₹14,400.
37.(a) x²−21x+108=0 factorises as (x−9)(x−12)=0, giving roots 9 and 12; the smaller root is 9.
38.(a) Combined fill rate = 1/10+1/12−1/20 = 6/60+5/60−3/60 = 8/60 = 2/15, so together they take 15/2 = 7.5 minutes.
39.(a) Speed = 300 m / 15 s = 20 m/s = 20×18/5 = 72 km/h.
40.(a) The average of the first n odd natural numbers equals n, so the average of the first 50 odd numbers is 50.
A Final Note on Practice Strategy
As you move from this bonus set into full-length attempts, treat accuracy and speed as two separate skills to be built in sequence rather than at once. In the first pass through any new mock test, work without a strict clock and focus entirely on getting the method right — for reasoning puzzles, this means drawing the arrangement out fully before eliminating options, and for quantitative problems, it means writing out each intermediate step rather than attempting to jump to the answer. Only once your accuracy on a given topic is consistently high should you begin timing yourself, since practising quickly at the cost of careless errors builds bad habits that are hard to unlearn closer to the exam.
Pay particular attention to the recurring problem types highlighted across these mock tests: share-and-ratio percentage problems, pipes-and-cistern questions with a third emptying pipe, coding-decoding by fixed letter shifts, and data-sufficiency questions built around simple linear equations. These categories appear with high frequency in the actual LIC AAO Prelims and Mains examinations, and fluency with the underlying method — rather than memorising any single question — is what will carry over to unfamiliar numbers on exam day. Revisit the worked examples in the advanced chapters (Parts II-A, III-A, IV-A, and V-A) whenever a mock test question in one of these categories takes longer than it should; the fully worked steps there are designed to be a quick refresher rather than a first introduction.
Finally, resist the temptation to skip the explanations for questions you answered correctly. A correct answer reached through a shortcut or a lucky guess will not always generalise to a slightly different version of the same question under exam conditions, so reading through the reasoning behind every question — right or wrong — is the surest way to convert practice into a stable exam-day skill.