Mock Test 12 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)
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Section A: Reasoning Ability (Q1–35)
- Eight people sit around a circular table facing the centre. I1 sits fifth to the right of J1. K1 sits opposite J1. L1 sits immediately to the left of K1. Where does L1 sit relative to I1?
(a) Second to the left (b) Second to the right (c) Opposite I1 (d) Immediately right - Pointing to a boy, a woman said, "He is the only son of the only sister of my husband." How is the boy related to the woman?
(a) Nephew (b) Son (c) Cousin (d) Brother - Find the next term: 12, 29, 63, 131, ?
(a) 267 (b) 264 (c) 270 (d) 261 - If in a code, WINTER is coded as XJOUFS, how is SUMMER coded using the same rule?
(a) TVNNFS (b) TVNNFR (c) TVNMFS (d) SVNNFS - Seven people sit in a row facing south. A2 is sixth from the left. B2 sits immediately to the right of A2. C2 sits at the right end. There is exactly zero people between B2 and C2, and B2 equals C2's position minus one.
(a) B2 is seventh from the left (b) B2 is sixth from the left (c) B2 is fifth from the left (d) B2 is fourth from the left - Choose the odd one out.
(a) Tiger (b) Leopard (c) Lion (d) Wolf - Premises: "All chemists are researchers. All researchers are analytical." Which conclusion follows?
(a) All chemists are analytical (b) All analytical people are chemists (c) No chemists are analytical (d) Some researchers are not chemists - A walks 18 km south, turns left and walks 22 km, then turns left again and walks 18 km. How far is he from the start?
(a) 22 km (b) 18 km (c) 36 km (d) 40 km - Arrange in a logical sequence: 1. Loan disbursement 2. Loan application 3. Credit check 4. Loan approval
(a) 2-3-4-1 (b) 1-2-3-4 (c) 2-4-3-1 (d) 3-2-4-1 - If in a code, LEOPARD is written as MFPQBSE, how is TIGRESS written?
(a) UJHSFTT (b) UJHSFTS (c) UJHRFTT (d) TJHSFTT - Given: M ≥ N > O and O > P. Which relationship necessarily holds between M and P?
(a) M > P (b) M < P (c) M = P (d) Cannot be determined - Data Sufficiency: "What is the value of z?" Statement I: 15z − 30 = 135. Statement II: z is divisible by 3. 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 - In a row of 100 people, Meera is 45th from the left. What is her position from the right?
(a) 56th (b) 55th (c) 57th (d) 54th - Find the missing number: 14, 29, 60, 123, ?
(a) 250 (b) 248 (c) 252 (d) 246 - A is the son of B. C is the daughter of B. D is the husband of C. E is the son of D and C. How is A related to E?
(a) Uncle (b) Father (c) Brother (d) Cousin - Complete the series: JO, NS, RW, VA, ?
(a) ZE (b) ZD (c) YE (d) ZF - Statement: All strongholds are fortified places. No fortified place is left undefended. Conclusion: No stronghold is left undefended.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 16 boxes (box 1 at the bottom), box S is directly above box T, and T is twelve positions above box U. How many positions separate S and U?
(a) 13 (b) 12 (c) 14 (d) 11 - If each letter is shifted forward by eleven positions, CAT becomes NLE. Using the same rule, DOG becomes:
(a) OZR (b) OZQ (c) NZR (d) OYR - A runner finishes 33rd from the last in a race of 80 runners. Find the rank from the first.
(a) 48th (b) 47th (c) 49th (d) 46th - Six people sit around a circular table facing the centre. K1 sits opposite L1. M1 sits immediately to the right of K1. Where does M1 sit relative to L1?
(a) Second to the left of L1 (b) Second to the right of L1 (c) Opposite L1 (d) Immediately left of L1 - Premises: "Some brokers are agents. All agents are certified." Which conclusion follows?
(a) Some brokers are certified (b) All brokers are certified (c) No brokers are certified (d) All certified people are brokers - P is the father of Q. R is the son of Q. S is the wife of R. How is P related to S?
(a) Grandfather-in-law (b) Father (c) Uncle (d) Grandfather - Find the odd pair: (18,54), (19,57), (20,61), (21,63)
(a) (20,61) (b) (18,54) (c) (19,57) (d) (21,63) - In a code language, "quarterly risk assessment summary" is coded as "zi ta ko lu", "risk for insurers" is coded as "ta ni ra", and "assessment for growth" is coded as "ko ni du". What is the code for "assessment"?
(a) ko (b) zi (c) ta (d) lu - 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 - In a floor puzzle of 27 floors (ground=1, top=27), a person exactly midway between floor 17 and floor 27 lives on floor:
(a) 22 (b) 21 (c) 23 (d) 22.5 - Choose the odd one out.
(a) Sparrow (b) Pigeon (c) Parrot (d) Ostrich - If in a code, WINTER is coded as YKPVGT (shift forward by 2), how is SUMMER coded?
(a) UWOOGT (b) UWOOGS (c) UWNOGT (d) TWOOGT - In a line of 85 people, Anaya is 39th from the left. How many people are to her right?
(a) 46 (b) 45 (c) 47 (d) 44 - Statement: All strongholds are fortified places. Some fortified places are ancient. Conclusion I: Some strongholds are ancient. Conclusion II: All fortified places are strongholds. Which follows?
(a) Neither I nor II follows (b) Only I follows (c) Only II follows (d) Both follow - P is the mother of Q. Q is the brother of R. R is the wife of S. S is the father of T. How is P related to T?
(a) Grandmother (b) Mother (c) Aunt (d) Sister - Find the next term: 3, 9, 27, 81, ?
(a) 243 (b) 240 (c) 246 (d) 237 - In a row of 27 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 13 (b) 14 (c) 12 (d) 13.5 - Data Sufficiency: "Is d divisible by 15?" Statement I: d is divisible by 45. Statement II: d is divisible by 5. 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
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹36,000 at 8% per annum for 3 years.
(a) ₹8,640 (b) ₹8,400 (c) ₹8,800 (d) ₹8,200 - A shopkeeper sells an article for ₹1,284 at a profit of 7%. Find the cost price.
(a) ₹1,200 (b) ₹1,190 (c) ₹1,210 (d) ₹1,180 - The average of 29 numbers is 40. If one number is removed, the average becomes 38 for the remaining 28. Find the removed number.
(a) 96 (b) 92 (c) 100 (d) 88 - A sum of ₹480 is divided in the ratio 9:7. Find the larger part.
(a) ₹270 (b) ₹260 (c) ₹280 (d) ₹255 - 39% of a number is 780. Find the number.
(a) 2,000 (b) 1,980 (c) 2,020 (d) 1,960 - A car travels 360 km in 6 hours and then 280 km in 4 hours. Find the average speed for the whole journey.
(a) 64 km/h (b) 62 km/h (c) 66 km/h (d) 60 km/h - Find the compound interest on ₹36,000 for 2 years at 10% per annum, compounded annually.
(a) ₹7,560 (b) ₹7,300 (c) ₹7,800 (d) ₹7,000 - Pipe A can fill a tank in 16 minutes and pipe B in 32 minutes. If both are opened together, how long will they take to fill the tank?
(a) 32/3 minutes ≈ 10.7 minutes (b) 11 minutes (c) 12 minutes (d) 9 minutes - A boat's speed in still water is 25 km/h and the stream flows at 3 km/h. Find the time to cover 112 km downstream.
(a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours - Find the next term in the series: 3, 9, 27, 81, ?
(a) 243 (b) 240 (c) 246 (d) 237 - An article with cost price ₹600 is sold for ₹900. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is four times as old as B. Five years ago, A was five times as old as B. Find B's present age.
(a) 20 years (b) 18 years (c) 22 years (d) 16 years - Solve for x: 19(x − 16) = 11x − 40.
(a) 33 (b) 32 (c) 34 (d) 31 - Find the area of a rectangle with length 60 cm and breadth 38 cm.
(a) 2,280 sq cm (b) 2,260 sq cm (c) 2,300 sq cm (d) 2,240 sq cm - Two numbers are in the ratio 13:22. If their sum is 350, find the larger number.
(a) 220 (b) 215 (c) 225 (d) 210 - A sum of ₹90,000 is divided between A and B such that A's share is 160% more than B's share. Find B's share.
(a) ₹25,000 (b) ₹27,000 (c) ₹23,000 (d) ₹29,000 - Find the average of the first 400 natural numbers.
(a) 200.5 (b) 200 (c) 201 (d) 199.5 - A marked price of ₹14,400 is discounted by 15%. Find the selling price.
(a) ₹12,240 (b) ₹12,000 (c) ₹12,350 (d) ₹11,900 - Find the missing number in the series: 30, 62, 126, 254, ?
(a) 510 (b) 506 (c) 514 (d) 502 - A invests ₹1,60,000 for 5 months and B invests ₹1,00,000 for 8 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum becomes twelve times itself in 88 years at simple interest. Find the rate of interest per annum.
(a) 12.5% (b) 10% (c) 15% (d) 8% - Find the perimeter of a square with area 784 sq cm.
(a) 112 cm (b) 108 cm (c) 116 cm (d) 104 cm - A train 400 m long crosses a pole in 20 seconds. Find its speed in km/h.
(a) 72 km/h (b) 70 km/h (c) 75 km/h (d) 68 km/h - Find the value of x: x² − 25x + 156 = 0 (smaller root).
(a) 12 (b) 13 (c) 11 (d) 14 - A shopkeeper marks an article 50% above cost price and gives a discount of 30%. Find the overall profit percentage.
(a) 5% (b) 8% (c) 3% (d) 10% - Find the average of the first 115 odd natural numbers.
(a) 115 (b) 114 (c) 116 (d) 113 - A sum of ₹1,00,000 is divided between A and B such that A's share is 150% more than B's share. Find B's share.
(a) ₹28,571.43, i.e., ₹1,00,000×2/7 (b) ₹30,000 (c) ₹25,000 (d) ₹32,000 - Two pipes can fill a tank in 12 and 24 minutes respectively. A third pipe can empty it in 48 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 48/5 minutes = 9.6 minutes (b) 10 minutes (c) 11 minutes (d) 8 minutes - Find the next term: 16, 34, 70, 142, ?
(a) 286 (b) 282 (c) 290 (d) 278 - A's income is 300% more than B's income. By what percentage is B's income less than A's income?
(a) 75% (b) 70% (c) 80% (d) 65% - Find the compound interest on ₹1,50,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹15,375 (b) ₹15,000 (c) ₹15,750 (d) ₹14,600 - A works eleven times as fast as B. If B alone completes a task in 96 days, in how many days can A and B together complete it?
(a) 8 days (b) 9 days (c) 10 days (d) 7 days - Find the value of: 60% of 150 + 35% of 200.
(a) 160 (b) 155 (c) 165 (d) 150 - A sum of ₹2,50,000 is lent at 5% per annum simple interest. Find the amount after 4 years.
(a) ₹3,00,000 (b) ₹2,95,000 (c) ₹3,05,000 (d) ₹2,90,000 - Find the next term: 12, 29, 63, 131, 267, ?
(a) 539 (b) 535 (c) 543 (d) 531
Answer Key with Explanations
1.(a) Placing J1, then I1 five seats to J1's right, K1 opposite J1, and L1 immediately left of K1 fixes L1 two seats to the left of I1 when traced around the circle.
2.(a) The husband's only sister's only son is the woman's nephew.
3.(a) Each term follows ×2+5: 12×2+5=29, 29×2+5=63, 63×2+5=131, 131×2+5=267.
4.(a) Each letter shifts forward by one position: S→T, U→V, M→N, M→N, E→F, R→S.
5.(a) With A2 sixth from the left and B2 immediately to A2's right, B2 sits seventh from the left.
6.(a) Tiger, Leopard, and Lion are big cats, while a Wolf is a canine.
7.(a) All chemists are researchers, and all researchers are analytical, so all chemists are analytical follows validly.
8.(a) The southward and northward legs (18 km each) cancel out, leaving only the 22 km eastward displacement.
9.(a) The natural sequence is: loan application, credit check, loan approval, and loan disbursement.
10.(a) Each letter shifts forward by one position: T→U, I→J, G→H, R→S, E→F, S→T, S→T.
11.(a) M≥N>O gives M>O (one strict link); O>P then gives M>P.
12.(a) Statement I gives 15z=165, so z=11, a single definite value; Statement II alone only narrows z to multiples of 3, not a unique value.
13.(a) Position from the right = 100−45+1 = 56th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 14×2+1=29, 29×2+2=60, 60×2+3=123, 123×2+4=250.
15.(a) A and C are B's children (siblings); D is C's husband, and E is D and C's son, making A E's uncle.
16.(a) Each pair's first letter advances by four (J, N, R, V, Z) and the second letter advances by four (O, S, W, A, E, wrapping past Z), giving ZE.
17.(a) All strongholds are fortified places, and no fortified place is left undefended, so no stronghold is left undefended follows validly.
18.(a) S is one position above T, and T is twelve positions above U, so S is 1+12=13 positions above U.
19.(a) Each letter shifts forward by eleven positions: D→O, O→Z, G→R.
20.(a) Rank from the first = 80−33+1 = 48th.
21.(a) With K1 and L1 opposite in a 6-seat circle (3 seats apart) and M1 immediately to K1's right, M1 ends up two seats to the left of L1.
22.(a) Some brokers are agents, and all agents are certified, so some brokers are certified follows validly.
23.(a) P is Q's father, R is Q's son (P's grandson), and S is R's wife, making P a grandfather-in-law to S.
24.(a) In each pair the second number is three times the first except (20,61), since 20×3=60, not 61.
25.(a) "assessment" is common to "quarterly risk assessment summary" and "assessment for growth"; comparing with "risk for insurers" isolates "ko" as the code for "assessment".
26.(a) A>B≥C gives A>C (one strict link); C≥D then gives A>D.
27.(a) Midway between floor 17 and floor 27 is (17+27)/2 = 22.
28.(a) Sparrow, Pigeon, and Parrot are commonly kept or small birds capable of typical flight, while an Ostrich is a large flightless bird.
29.(a) Each letter shifts forward by two positions: S→U, U→W, M→O, M→O, E→G, R→T.
30.(a) People to Anaya's right = 85−39 = 46.
31.(a) The premises do not guarantee any stronghold is ancient, and clearly not all fortified places are strongholds, so neither conclusion follows.
32.(a) Q and R are P's children; R is S's wife and S is T's father, so R is T's mother, making P (R's mother) T's grandmother.
33.(a) Each term is multiplied by 3: 3×3=9, 9×3=27, 27×3=81, 81×3=243.
34.(a) In a row of 27 with one person exactly in the middle (14th position), 13 people sit on each side.
35.(a) Statement I alone (divisible by 45) guarantees divisibility by 15, since 45 is itself a multiple of 15; Statement II alone (divisible by 5) does not guarantee divisibility by 15.
36.(a) Simple interest = (36,000×8×3)/100 = ₹8,640.
37.(a) Cost price = 1,284/1.07 = ₹1,200.
38.(a) Total of 29 numbers = 29×40 = 1,160; total of remaining 28 = 28×38 = 1,064; removed number = 1,160−1,064 = 96.
39.(a) The parts total 9+7 = 16; each part = 480/16 = 30; larger part = 9×30 = ₹270.
40.(a) The number = 780/0.39 = 2,000.
41.(a) Total distance = 360+280 = 640 km; total time = 6+4 = 10 hours; average speed = 640/10 = 64 km/h.
42.(a) Amount = 36,000×(1.10)² = 43,560; compound interest = ₹7,560.
43.(a) Combined rate = 1/16+1/32 = 2/32+1/32 = 3/32, so together they take 32/3 ≈ 10.7 minutes.
44.(a) Downstream speed = 25+3 = 28 km/h; time = 112/28 = 4 hours.
45.(a) Each term is multiplied by 3: 3×3=9, 9×3=27, 27×3=81, 81×3=243.
46.(a) Profit = 900−600 = ₹300; profit percentage = (300/600)×100 = 50%.
47.(a) Let B's present age be x and A's be 4x; five years ago, 4x−5 = 5(x−5), giving 4x−5 = 5x−25, so x=20.
48.(a) 19(x−16)=11x−40 gives 19x−304=11x−40, so 8x=264, x=33.
49.(a) Area = 60×38 = 2,280 sq cm.
50.(a) The parts total 13+22 = 35; each part = 350/35 = 10; larger number = 22×10 = 220.
51.(a) A's share is 2.6 times B's (160% more), giving a 13:5 ratio; each of the 18 parts = 90,000/18 = 5,000, so B's share = 5×5,000 = ₹25,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 400 is 401/2 = 200.5.
53.(a) Selling price = 14,400×0.85 = ₹12,240.
54.(a) Each term follows ×2+2: 30×2+2=62, 62×2+2=126, 126×2+2=254, 254×2+2=510.
55.(a) A:B ratio = (1,60,000×5):(1,00,000×8) = 8,00,000:8,00,000 = 1:1.
56.(a) A sum becoming twelve times itself means the interest earned equals eleven times the principal; rate = (11×100)/88 = 12.5% per annum.
57.(a) Side of the square = √784 = 28 cm; perimeter = 4×28 = 112 cm.
58.(a) Speed = 400 m / 20 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−25x+156=0 factorises as (x−12)(x−13)=0, giving roots 12 and 13; the smaller root is 12.
60.(a) Marking 50% above cost price and giving a 30% discount gives selling price = CP×1.50×0.70 = 1.05×CP, a net profit of 5%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 115 odd numbers is 115.
62.(a) A's share is 2.5 times B's (150% more), giving a 5:2 ratio; each of the 7 parts = 1,00,000/7, so B's share = 2×1,00,000/7 = ₹28,571.43.
63.(a) Combined rate = 1/12+1/24−1/48 = 4/48+2/48−1/48 = 5/48, so the tank fills in 48/5 = 9.6 minutes.
64.(a) Each term follows ×2+2: 16×2+2=34, 34×2+2=70, 70×2+2=142, 142×2+2=286.
65.(a) If A = 4B, then B = A/4 = 0.25A, meaning B's income is 75% less than A's.
66.(a) Amount = 1,50,000×(1.05)² = 1,65,375; compound interest = ₹15,375.
67.(a) B's rate = 1/96; A's rate (eleven times as fast) = 11/96; combined rate = 1/96+11/96 = 12/96 = 1/8, so together they take 8 days.
68.(a) 60% of 150 = 90; 35% of 200 = 70; sum = 160.
69.(a) Simple interest = (2,50,000×5×4)/100 = 50,000; amount = 2,50,000+50,000 = ₹3,00,000.
70.(a) Each term follows ×2+5: 12×2+5=29, 29×2+5=63, 63×2+5=131, 131×2+5=267, 267×2+5=539.