Mock Test 21 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)
Free study material · concepts, shortcuts & solved questions
Section A: Reasoning Ability (Q1–35)
- Eight friends sit around a circular table facing the centre. N4 sits second to the right of O4. P4 sits opposite O4. Q4 sits immediately to the left of P4. Where does Q4 sit relative to N4?
(a) Second to the left (b) Third to the right (c) Opposite N4 (d) Immediately right - A is the son of B. C is the wife of A. How is C related to B?
(a) Daughter-in-law (b) Daughter (c) Sister (d) Niece - Find the next term: 5, 14, 32, 68, ?
(a) 140 (b) 136 (c) 144 (d) 132 - If in a code, LEMON is coded as MFNPO, how is ORANGE coded using the same rule?
(a) PSBOHF (b) PSBOHG (c) PSBNHF (d) OSBOHF - Nine people sit in a row facing north. B7 is fifth from the left. C7 sits immediately to the right of B7. D7 sits at the right end. There are exactly two people between C7 and D7.
(a) C7 is sixth from the left, D7 is ninth (b) D7 is eighth from the left (c) C7 is seventh from the left (d) B7 is sixth from the left - Choose the odd one out.
(a) Cabbage (b) Carrot (c) Potato (d) Radish - Premises: "All poets are writers. All writers are imaginative." Which conclusion follows?
(a) All poets are imaginative (b) All imaginative people are poets (c) No poets are imaginative (d) Some writers are not poets - A walks 15 km south, turns right and walks 20 km, then turns right again and walks 15 km. How far is he from the start, and in which direction?
(a) 20 km east of start (b) 15 km (c) 35 km (d) 30 km - Arrange in a logical sequence: 1. Publication 2. Writing 3. Editing 4. Proofreading
(a) 2-3-4-1 (b) 1-2-3-4 (c) 2-4-3-1 (d) 4-2-3-1 - If in a code, LEMON is written as MFNPO, how is TIGERS written?
(a) UJHFST (b) UJHFSU (c) UJHEST (d) TJHFST - Given: P ≥ Q > R and R ≥ S. Which relationship necessarily holds between P and S?
(a) P > S (b) P < S (c) P = S (d) Cannot be determined - Data Sufficiency: "What is the value of t?" Statement I: 25t − 50 = 300. Statement II: t is a multiple of 7. 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 130 people, Farha is 47th from the left. What is her position from the right?
(a) 84th (b) 83rd (c) 85th (d) 82nd - Find the missing number: 12, 27, 58, 121, ?
(a) 248 (b) 244 (c) 252 (d) 240 - A is the daughter of B. C is the son of B. D is the wife of C. E is the daughter of D and C. How is A related to E?
(a) Aunt (b) Sister (c) Mother (d) Cousin - Complete the series: HN, LR, PV, TZ, ?
(a) XD (b) XC (c) WD (d) YC - Statement: All observatories are scientific institutions. No scientific institution is unregulated. Conclusion: No observatory is unregulated.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 28 boxes (box 1 at the bottom), box R5 is directly above box S5, and S5 is twenty-two positions above box T5. How many positions separate R5 and T5?
(a) 23 (b) 22 (c) 24 (d) 21 - If in a code, WINTER is written as XJOUFS, how is SUMMER written using the same rule?
(a) TVNNFS (b) TVNNFT (c) TVMNFS (d) SVNNFS - Nine boxes numbered 1 through 9 are stacked with box 1 at the bottom and box 9 at the top; box 2 is directly above box 1; box 3 is five positions above box 2. Which box is at the very top?
(a) Box 9 (b) Box 8 (c) Box 7 (d) Box 6 - Eight friends sit around a circular table facing outward. C5 occupies one seat; D5 sits third to the right of C5; E5 sits opposite C5. Who sits third to the left of D5?
(a) C5 (b) E5 (c) Cannot be determined (d) D5 - In a class of 105 students, Rehan ranks 40th from the top. What is his rank from the bottom?
(a) 66th (b) 65th (c) 67th (d) 64th - Choose the odd one out.
(a) Chess (b) Cricket (c) Football (d) Hockey - Complete the analogy: Thermometer : Temperature :: Speedometer : ?
(a) Speed (b) Distance (c) Weight (d) Pressure - A is the daughter of B. C is the husband of A. How is C related to B?
(a) Son-in-law (b) Son (c) Brother (d) Nephew - Find the missing letter-group: EX, HU, KR, NO, ?
(a) QL (b) QM (c) PL (d) RM - Statement: Some engineers are inventors. All inventors are resourceful. Conclusion: Some engineers are resourceful.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - Choose the odd one out.
(a) Nitrogen (b) Iron (c) Zinc (d) Copper - If in a code, WINDOW is written with each letter shifted forward by 2 positions in the alphabet, what does YKPFQY decode to?
(a) WINDOW (b) WINDOX (c) XINDOW (d) WINDOV - Data Sufficiency: "Is s divisible by 21?" Statement I: s is divisible by 42. Statement II: s is divisible by 7.
(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 - Ten friends sit in a row facing south. H8 is seventh from the right. I8 sits immediately to the left of H8. J8 sits at the left end with exactly two people between I8 and J8.
(a) 10 people sit in the row (b) 9 people (c) 11 people (d) 8 people - Find the next term: 7, 17, 39, 85, ?
(a) 179 (b) 175 (c) 183 (d) 171 - Find the missing term: 10, 22, 46, 94, ?
(a) 190 (b) 188 (c) 192 (d) 186 - A is the brother of B. C is the daughter of B. How is A related to C?
(a) Uncle (b) Father (c) Cousin (d) Grandfather - Choose the odd one out.
(a) Rectangle (b) Diameter (c) Radius (d) Chord
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹72,000 at 6% per annum for 5 years.
(a) ₹21,600 (b) ₹21,000 (c) ₹22,000 (d) ₹21,200 - An article is sold for ₹1,725 after a markup of 15% on cost price. Find the cost price.
(a) ₹1,500 (b) ₹1,480 (c) ₹1,520 (d) ₹1,460 - The average of 40 numbers is 52. If one number is removed, the average of the remaining 39 numbers becomes 50. Find the removed number.
(a) 130 (b) 128 (c) 132 (d) 126 - Divide ₹960 between two people in the ratio 23:17. Find the larger share.
(a) ₹552 (b) ₹548 (c) ₹556 (d) ₹544 - 75% of a number is 1,500. Find the number.
(a) 2,000 (b) 1,950 (c) 2,050 (d) 1,900 - A car travels 320 km at 80 km/h and then 165 km at 55 km/h. Find its average speed for the whole journey.
(a) 485/7 km/h ≈ 69.29 km/h (b) 70 km/h (c) 68 km/h (d) 71 km/h - Find the compound interest on ₹72,000 for 2 years at 5% per annum, compounded annually.
(a) ₹7,380 (b) ₹7,200 (c) ₹7,500 (d) ₹7,000 - Two pipes can fill a tank in 8 and 12 minutes respectively. A third pipe can empty it in 24 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 6 minutes (b) 7 minutes (c) 5 minutes (d) 8 minutes - A boat's speed in still water is 16 km/h and the stream's speed is 4 km/h. Find the time to travel 60 km upstream.
(a) 5 hours (b) 6 hours (c) 4.5 hours (d) 5.5 hours - Find the next term in the series: 4, 16, 64, 256, ?
(a) 1,024 (b) 1,000 (c) 1,048 (d) 980 - An article with cost price ₹950 is sold for ₹1,235. Find the profit percentage.
(a) 30% (b) 28% (c) 32% (d) 25% - A's present age is twice B's present age. Ten years ago, A's age was three times B's age. Find B's present age.
(a) 20 years (b) 18 years (c) 22 years (d) 16 years - Solve for x: 10(x − 35) = 6x + 42.
(a) 98 (b) 96 (c) 100 (d) 94 - Find the area of a rectangle with length 82 cm and breadth 45 cm.
(a) 3,690 sq cm (b) 3,650 sq cm (c) 3,730 sq cm (d) 3,610 sq cm - Two numbers are in the ratio 21:19. If their sum is 640, find the larger number.
(a) 336 (b) 330 (c) 340 (d) 325 - A sum of ₹66,000 is divided between A and B such that A's share is 20% more than B's share. Find B's share.
(a) ₹30,000 (b) ₹32,000 (c) ₹28,000 (d) ₹34,000 - Find the average of the first 400 natural numbers.
(a) 200.5 (b) 200 (c) 201 (d) 199.5 - A marked price of ₹22,000 is discounted by 18%. Find the selling price.
(a) ₹18,040 (b) ₹17,800 (c) ₹18,200 (d) ₹17,600 - Find the missing number in the series: 20, 42, 86, 174, ?
(a) 350 (b) 346 (c) 354 (d) 342 - A invests ₹1,20,000 for 9 months and B invests ₹1,08,000 for 10 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:1 (c) 1:2 (d) 3:2 - A sum becomes nine times itself in 96 years at simple interest. Find the rate of interest per annum.
(a) 25/3% (b) 10% (c) 12% (d) 8% - Find the perimeter of a square with area 2,916 sq cm.
(a) 216 cm (b) 212 cm (c) 220 cm (d) 208 cm - A train 500 m long crosses a pole in 25 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 value of x: x² − 31x + 238 = 0 (smaller root).
(a) 14 (b) 17 (c) 13 (d) 18 - A shopkeeper marks an article 40% above cost price and gives a discount of 15%. Find the overall profit percentage.
(a) 19% (b) 17% (c) 21% (d) 15% - Find the average of the first 210 odd natural numbers.
(a) 210 (b) 209 (c) 211 (d) 208 - A sum of ₹54,000 is divided between A and B such that A's share is 160% more than B's share. Find B's share.
(a) ₹15,000 (b) ₹16,000 (c) ₹14,000 (d) ₹17,000 - Two pipes can fill a tank in 8 and 12 minutes respectively. A third pipe can empty it in 24 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 6 minutes (b) 7 minutes (c) 5 minutes (d) 8 minutes - Find the next term: 9, 22, 48, 100, ?
(a) 204 (b) 200 (c) 208 (d) 196 - The ratio of ages of A and B, ten years ago, was 1:2. Their present ages are in the ratio 2:3. Find A's present age.
(a) 20 years (b) 18 years (c) 22 years (d) 16 years - Find the compound interest on ₹80,000 for 2 years at 5% per annum, compounded annually.
(a) ₹8,200 (b) ₹8,000 (c) ₹8,400 (d) ₹7,800 - A sells an article to B at a profit of 20%, and B sells it to C at a profit of 15%. If C pays ₹8,280, find the price A paid to acquire the article.
(a) ₹6,000 (b) ₹6,200 (c) ₹5,800 (d) ₹6,400 - A can complete a work in 8 days and B in 12 days. They work together for 2 days, after which A leaves. In how many more days will B finish the remaining work?
(a) 7 days (b) 9 days (c) 8 days (d) 10 days - Find the value of x if 7(x − 6) = 3x + 10.
(a) 13 (b) 12 (c) 14 (d) 11 - Two vessels contain milk and water in the ratio 4:3 and 5:1 respectively. If 28 litres from the first and 18 litres from the second are mixed, find the ratio of milk to water in the mixture.
(a) 31:15 (b) 3:2 (c) 5:3 (d) 2:1
Answer Key with Explanations
1.(a) N4 sits second to the right of O4 on an eight-seat circle; P4 sits opposite O4; Q4 sits immediately to the left of P4. Tracing the seats around, Q4 falls second to the left of N4.
2.(a) A is B's son, and C is A's wife, so C is B's daughter-in-law.
3.(a) Each term follows ×2+4: 5×2+4=14, 14×2+4=32, 32×2+4=68, 68×2+4=140.
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) B7 is fifth from the left; C7 is immediately to its right, so C7 is sixth from the left; with exactly two people between C7 and D7, and D7 at the right end, D7 is ninth from the left.
6.(a) Carrot, Potato, and Radish are all root vegetables; Cabbage is a leafy vegetable, making it the odd one out.
7.(a) All poets are writers, and all writers are imaginative, so by transitivity all poets are imaginative.
8.(a) Walking south then turning right (west) then right again (north) traces three sides of a rectangle 15 km by 20 km; the two 15 km legs (south, then north) cancel out, leaving a net displacement of 20 km to the west of the starting point.
9.(a) The logical order is Writing, Editing, Proofreading, Publication.
10.(a) Each letter is shifted forward by one position: T→U, I→J, G→H, E→F, R→S, S→T, giving TIGERS → UJHFST.
11.(a) P ≥ Q > R and R ≥ S together give P > S, since P is at least as large as Q, which is strictly greater than R, which is at least as large as S.
12.(a) Statement I: 25t = 350, so t = 14, a unique value — sufficient alone. Statement II only says t is a multiple of 7, which has many possible values — not sufficient alone.
13.(a) Position from the right = total − position from left + 1 = 130 − 47 + 1 = 84th.
14.(a) The differences between consecutive terms are 15, 31, and 63, each obtained as (previous difference ×2 + 1); the next difference is 63×2+1 = 127, giving 121+127 = 248.
15.(a) C is B's son and D is C's wife, so E (child of C and D) is B's grandchild through the son's line; A, being B's daughter, is E's paternal aunt.
16.(a) Each letter pair shifts forward by 4: H+4=L, N+4=R; L+4=P, R+4=V; P+4=T, V+4=Z; T+4=X, Z+4=D, giving XD.
17.(a) All observatories are scientific institutions, and no scientific institution is unregulated, so no observatory is unregulated — the conclusion follows validly by transitivity.
18.(a) S5 is twenty-two positions above T5, and R5 is directly above S5 (one position above), so R5 is twenty-three positions above T5.
19.(a) Each letter is shifted forward by one position: S→T, U→V, M→N, M→N, E→F, R→S, giving SUMMER → TVNNFS.
20.(a) With box 2 directly above box 1 and box 3 five positions above box 2, the stacking order from bottom is boxes 1, 2, 3, 4, 5, 6, 7, 8, 9 — so box 9 is at the very top.
21.(a) Numbering the eight seats 1 to 8 clockwise with C5 at seat 1: D5, third to the right, is at seat 4; E5, opposite C5, is at seat 5. Third to the left of D5 (seat 4) is seat 1, which is C5.
22.(a) Rank from bottom = total − rank from top + 1 = 105 − 40 + 1 = 66th.
23.(a) Cricket, Football, and Hockey are all team sports played on an outdoor field; Chess is an indoor board game for two individual players, making it the odd one out.
24.(a) A thermometer measures temperature; a speedometer measures speed.
25.(a) A is B's daughter, and C is A's husband, so C is B's son-in-law.
26.(a) The first letters move forward by 3 (E, H, K, N, Q) and the second letters move back by 3 (X, U, R, O, L), giving QL.
27.(a) Some engineers are inventors, and all inventors are resourceful, so those engineers who are inventors are resourceful — hence some engineers are resourceful follows validly.
28.(a) Iron, Zinc, and Copper are all metals; Nitrogen is a non-metal gas, making it the odd one out.
29.(a) Each letter of WINDOW is shifted forward by 2 positions: W→Y, I→K, N→P, D→F, O→Q, W→Y, giving the code YKPFQY; decoding YKPFQY by shifting each letter back by 2 positions therefore returns WINDOW.
30.(a) Statement I: if s is divisible by 42, it is automatically divisible by 21 (since 21 divides 42) — sufficient alone. Statement II: divisibility by 7 alone does not guarantee divisibility by 21 (e.g., 14 is divisible by 7 but not 21) — not sufficient alone.
31.(a) H8 is seventh from the right; I8 is immediately to its left, so I8 is eighth from the right; with exactly two people between I8 and J8 at the left end, the row must contain 10 people in total for the positions to be consistent.
32.(a) The differences between consecutive terms are 10, 22, and 46, each obtained as (previous difference ×2 + 2); the next difference is 46×2+2 = 94, giving 85+94 = 179.
33.(a) Each term follows ×2+2: 10×2+2=22, 22×2+2=46, 46×2+2=94, 94×2+2=190.
34.(a) A is B's brother, and C is B's daughter, so A is C's uncle.
35.(a) Diameter, Radius, and Chord are all line segments associated with a circle; a Rectangle is a two-dimensional shape, not a line segment, making it the odd one out.
36.(a) Simple interest = (72,000×6×5)/100 = ₹21,600.
37.(a) Cost price = 1,725/1.15 = ₹1,500.
38.(a) Total of 40 numbers = 40×52 = 2,080; total of remaining 39 = 39×50 = 1,950; removed number = 2,080−1,950 = 130.
39.(a) The parts total 23+17 = 40; each part = 960/40 = 24; larger share = 23×24 = ₹552.
40.(a) The number = 1,500/0.75 = 2,000.
41.(a) Total distance = 320+165 = 485 km; total time = 4+3 = 7 hours; average speed = 485/7 ≈ 69.29 km/h.
42.(a) Amount = 72,000×(1.05)² = 79,380; compound interest = ₹7,380.
43.(a) Combined fill rate = 1/8+1/12−1/24 = 3/24+2/24−1/24 = 4/24 = 1/6, so together they take 6 minutes.
44.(a) Upstream speed = 16−4 = 12 km/h; time = 60/12 = 5 hours.
45.(a) Each term is multiplied by 4: 4×4=16, 16×4=64, 64×4=256, 256×4=1,024.
46.(a) Profit = 1,235−950 = ₹285; profit percentage = (285/950)×100 = 30%.
47.(a) Let B's present age be x and A's be 2x; ten years ago, 2x−10 = 3(x−10), giving 2x−10 = 3x−30, so x=20.
48.(a) 10(x−35)=6x+42 gives 10x−350=6x+42, so 4x=392, x=98.
49.(a) Area = 82×45 = 3,690 sq cm.
50.(a) The parts total 21+19 = 40; each part = 640/40 = 16; larger number = 21×16 = 336.
51.(a) A's share is 1.2 times B's (20% more), giving a 6:5 ratio; each of the 11 parts = 66,000/11 = 6,000, so B's share = 5×6,000 = ₹30,000.
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 = 22,000×0.82 = ₹18,040.
54.(a) Each term follows ×2+2: 20×2+2=42, 42×2+2=86, 86×2+2=174, 174×2+2=350.
55.(a) A:B ratio = (1,20,000×9):(1,08,000×10) = 10,80,000:10,80,000 = 1:1.
56.(a) A sum becoming nine times itself means the interest earned equals eight times the principal; rate = (8×100)/96 = 25/3% per annum.
57.(a) Side of the square = √2,916 = 54 cm; perimeter = 4×54 = 216 cm.
58.(a) Speed = 500 m / 25 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−31x+238=0 factorises as (x−14)(x−17)=0, giving roots 14 and 17; the smaller root is 14.
60.(a) Marking 40% above cost price and giving a 15% discount gives selling price = CP×1.40×0.85 = 1.19×CP, a net profit of 19%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 210 odd numbers is 210.
62.(a) A's share is 2.6 times B's (160% more), giving a 13:5 ratio; each of the 18 parts = 54,000/18 = 3,000, so B's share = 5×3,000 = ₹15,000.
63.(a) Combined fill rate = 1/8+1/12−1/24 = 3/24+2/24−1/24 = 4/24 = 1/6, so together they take 6 minutes.
64.(a) The differences between consecutive terms are 13, 26, and 52, each obtained as (previous difference ×2); the next difference is 52×2 = 104, giving 100+104 = 204.
65.(a) Let A's age ten years ago be 1k and B's be 2k; their present ages are k+10 and 2k+10, in the ratio 2:3, giving 3(k+10)=2(2k+10), so 3k+30=4k+20, k=10; A's present age = 10+10 = 20 years.
66.(a) Amount = 80,000×(1.05)² = 88,200; compound interest = ₹8,200.
67.(a) Let A's cost be y; B pays y×1.20, and C pays y×1.20×1.15 = 1.38y = 8,280, so y = ₹6,000.
68.(a) Combined rate = 1/8+1/12 = 3/24+2/24 = 5/24 of the work per day; in 2 days, they complete 10/24 = 5/12 of the work, leaving 7/12 of the work; B alone, at a rate of 1/12 per day, takes (7/12)×12 = 7 days to finish the remaining work.
69.(a) 7(x−6)=3x+10 gives 7x−42=3x+10, so 4x=52, x=13.
70.(a) First vessel: 28 litres in ratio 4:3 gives milk = 16, water = 12; second vessel: 18 litres in ratio 5:1 gives milk = 15, water = 3; total milk = 31, total water = 15, giving the ratio 31:15.