Mock Test 22 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)
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Section A: Reasoning Ability (Q1–35)
- Seven friends sit around a circular table facing the centre. R6 sits second to the right of S6. T6 sits opposite S6. U6 sits immediately to the left of T6. Where does U6 sit relative to R6?
(a) Second to the left (b) Third to the right (c) Opposite R6 (d) Immediately right - A is the mother of B. C is the husband of A. How is C related to B?
(a) Father (b) Uncle (c) Brother (d) Grandfather - Find the next term: 4, 11, 26, 57, ?
(a) 120 (b) 116 (c) 124 (d) 112 - If in a code, RIVER is coded as SJWFS, how is BRIDGE coded using the same rule?
(a) CSJEHF (b) CSJEHG (c) CSJDHF (d) BSJEHF - Eight people sit in a row facing north. E2 is third from the left. F2 sits immediately to the right of E2. G2 sits at the right end. There are exactly three people between F2 and G2.
(a) F2 is fourth from the left, G2 is eighth (b) G2 is seventh from the left (c) F2 is fifth from the left (d) E2 is fourth from the left - Choose the odd one out.
(a) Trumpet (b) Guitar (c) Sitar (d) Violin - Premises: "All chemists are researchers. All researchers are meticulous." Which conclusion follows?
(a) All chemists are meticulous (b) All meticulous people are chemists (c) No chemists are meticulous (d) Some researchers are not chemists - A walks 12 km east, turns left and walks 18 km, then turns left again and walks 12 km. How far is he from the start, and in which direction?
(a) 18 km north of start (b) 12 km (c) 30 km (d) 24 km - Arrange in a logical sequence: 1. Manufacturing 2. Design 3. Testing 4. Marketing
(a) 2-1-3-4 (b) 1-2-3-4 (c) 2-3-1-4 (d) 4-2-1-3 - If in a code, RIVER is written as SJWFS, how is CANDLE written?
(a) DBOEMF (b) DBOEMG (c) DBODMF (d) CBOEMF - Given: J ≥ K > L and L > M. Which relationship necessarily holds between J and M?
(a) J > M (b) J < M (c) J = M (d) Cannot be determined - Data Sufficiency: "What is the value of w?" Statement I: 27w − 54 = 297. Statement II: w is a multiple of 13. 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 112 people, Tara is 45th from the left. What is her position from the right?
(a) 68th (b) 67th (c) 69th (d) 66th - Find the missing number: 14, 30, 63, 130, ?
(a) 265 (b) 261 (c) 269 (d) 257 - 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: FL, JP, NT, RX, ?
(a) VB (b) VA (c) UB (d) WA - Statement: All sanctuaries are protected areas. No protected area is exploitable. Conclusion: No sanctuary is exploitable.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 26 boxes (box 1 at the bottom), box V6 is directly above box W6, and W6 is twenty-one positions above box X6. How many positions separate V6 and X6?
(a) 22 (b) 21 (c) 23 (d) 20 - If in a code, GARDEN is written as HBSEFO, how is COLUMN written using the same rule?
(a) DPMVNO (b) DPMVNP (c) DPMUNO (d) CPMVNO - Seven boxes A through G are stacked with A at the bottom and G at the top; B is directly above A; C is three positions above B. Which box is at the very top?
(a) G (b) F (c) E (d) D - Eight friends sit around a circular table facing outward. Y2 occupies one seat; Z2 sits third to the right of Y2; A3 sits opposite Y2. Who sits third to the left of Z2?
(a) Y2 (b) A3 (c) Cannot be determined (d) Z2 - In a class of 88 students, Kavya ranks 32nd from the top. What is her rank from the bottom?
(a) 57th (b) 56th (c) 58th (d) 55th - Choose the odd one out.
(a) Rose (b) Maple (c) Oak (d) Pine - Complete the analogy: Doctor : Hospital :: Teacher : ?
(a) School (b) Court (c) Studio (d) Farm - A is the sister of B. C is the son of B. How is A related to C?
(a) Aunt (b) Mother (c) Cousin (d) Grandmother - Find the missing letter-group: FU, IR, LO, OL, ?
(a) RI (b) RJ (c) QI (d) SJ - Statement: Some athletes are swimmers. All swimmers are disciplined. Conclusion: Some athletes are disciplined.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - Choose the odd one out.
(a) Helium (b) Silver (c) Iron (d) Zinc - If in a code, PLANET is written with each letter shifted forward by 3 positions in the alphabet, what does SODQHW decode to?
(a) PLANET (b) PLANES (c) QLANET (d) PLANEU - Data Sufficiency: "Is d divisible by 16?" Statement I: d is divisible by 32. Statement II: d is divisible by 8.
(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 - Nine friends sit in a row facing south. K3 is sixth from the right. L3 sits immediately to the left of K3. M3 sits at the left end with exactly two people between L3 and M3.
(a) 9 people sit in the row (b) 8 people (c) 10 people (d) 7 people - Find the next term: 8, 17, 35, 71, ?
(a) 143 (b) 139 (c) 147 (d) 135 - Find the missing term: 11, 25, 53, 109, ?
(a) 221 (b) 217 (c) 225 (d) 213 - A is the father of B. C is the sister of A. How is C related to B?
(a) Aunt (b) Mother (c) Grandmother (d) Cousin - Choose the odd one out.
(a) Sun (b) Saturn (c) Earth (d) Mars
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹54,000 at 8% per annum for 6 years.
(a) ₹25,920 (b) ₹25,000 (c) ₹26,000 (d) ₹25,500 - An article is sold for ₹1,610 after a markup of 15% on cost price. Find the cost price.
(a) ₹1,400 (b) ₹1,380 (c) ₹1,420 (d) ₹1,360 - The average of 45 numbers is 58. If one number is removed, the average of the remaining 44 numbers becomes 56. Find the removed number.
(a) 146 (b) 144 (c) 148 (d) 142 - Divide ₹1,020 between two people in the ratio 19:15. Find the larger share.
(a) ₹570 (b) ₹565 (c) ₹575 (d) ₹560 - 85% of a number is 1,700. Find the number.
(a) 2,000 (b) 1,950 (c) 2,050 (d) 1,900 - A car travels 260 km at 65 km/h and then 210 km at 70 km/h. Find its average speed for the whole journey.
(a) 470/7 km/h ≈ 67.14 km/h (b) 68 km/h (c) 66 km/h (d) 69 km/h - Find the compound interest on ₹54,000 for 2 years at 5% per annum, compounded annually.
(a) ₹5,535 (b) ₹5,400 (c) ₹5,600 (d) ₹5,300 - Two pipes can fill a tank in 8 and 15 minutes respectively. A third pipe can empty it in 40 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 14 km/h and the stream's speed is 2 km/h. Find the time to travel 96 km downstream.
(a) 6 hours (b) 7 hours (c) 5.5 hours (d) 6.5 hours - Find the next term in the series: 6, 18, 54, 162, ?
(a) 486 (b) 480 (c) 490 (d) 475 - An article with cost price ₹680 is sold for ₹850. Find the profit percentage.
(a) 25% (b) 22% (c) 28% (d) 20% - A's present age is twice B's present age. Nine years ago, A's age was three times B's age. Find B's present age.
(a) 18 years (b) 16 years (c) 20 years (d) 14 years - Solve for x: 19(x − 16) = 11x + 16.
(a) 40 (b) 38 (c) 42 (d) 36 - Find the area of a rectangle with length 78 cm and breadth 55 cm.
(a) 4,290 sq cm (b) 4,250 sq cm (c) 4,330 sq cm (d) 4,210 sq cm - Two numbers are in the ratio 24:17. If their sum is 656, find the larger number.
(a) 384 (b) 378 (c) 390 (d) 372 - A sum of ₹42,000 is divided between A and B such that A's share is 40% more than B's share. Find B's share.
(a) ₹17,500 (b) ₹18,500 (c) ₹16,500 (d) ₹19,500 - Find the average of the first 300 natural numbers.
(a) 150.5 (b) 150 (c) 151 (d) 149.5 - A marked price of ₹36,000 is discounted by 22%. Find the selling price.
(a) ₹28,080 (b) ₹27,800 (c) ₹28,300 (d) ₹27,600 - Find the missing number in the series: 18, 38, 78, 158, ?
(a) 318 (b) 314 (c) 322 (d) 310 - A invests ₹1,60,000 for 7 months and B invests ₹1,40,000 for 8 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:1 (c) 1:2 (d) 3:2 - A sum becomes eleven times itself in 100 years at simple interest. Find the rate of interest per annum.
(a) 10% (b) 12% (c) 8% (d) 15% - Find the perimeter of a square with area 1,089 sq cm.
(a) 132 cm (b) 128 cm (c) 136 cm (d) 124 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) 74 km/h (d) 68 km/h - Find the value of x: x² − 26x + 165 = 0 (smaller root).
(a) 11 (b) 15 (c) 10 (d) 16 - A shopkeeper marks an article 90% above cost price and gives a discount of 20%. Find the overall profit percentage.
(a) 52% (b) 50% (c) 54% (d) 48% - Find the average of the first 66 odd natural numbers.
(a) 66 (b) 65 (c) 67 (d) 64 - A sum of ₹54,000 is divided between A and B such that A's share is 250% more than B's share. Find B's share.
(a) ₹12,000 (b) ₹13,000 (c) ₹11,000 (d) ₹14,000 - Two pipes can fill a tank in 8 and 15 minutes respectively. A third pipe can empty it in 40 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: 10, 23, 49, 101, ?
(a) 205 (b) 201 (c) 209 (d) 197 - The ratio of ages of A and B, nine years ago, was 5:7. Their present ages are in the ratio 3:4. Find A's present age.
(a) 54 years (b) 50 years (c) 58 years (d) 46 years - Find the compound interest on ₹60,000 for 2 years at 10% per annum, compounded annually.
(a) ₹12,600 (b) ₹12,000 (c) ₹12,800 (d) ₹11,800 - A sells an article to B at a profit of 25%, and B sells it to C at a profit of 10%. If C pays ₹8,250, 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 12 days and B in 18 days. They work together for 4 days, after which A leaves. In how many more days will B finish the remaining work?
(a) 6 days (b) 7 days (c) 5 days (d) 8 days - Find the value of x if 8(x − 9) = 4x + 4.
(a) 19 (b) 18 (c) 20 (d) 17 - Two vessels contain milk and water in the ratio 5:2 and 7:3 respectively. If 28 litres from the first and 30 litres from the second are mixed, find the ratio of milk to water in the mixture.
(a) 41:17 (b) 3:2 (c) 5:3 (d) 2:1
Answer Key with Explanations
1.(a) R6 sits second to the right of S6 on a seven-seat circle; T6 sits opposite S6; U6 sits immediately to the left of T6. Tracing the seats around, U6 falls second to the left of R6.
2.(a) A is B's mother, and C is A's husband, so C is B's father.
3.(a) Each term follows ×2+3: 4×2+3=11, 11×2+3=26, 26×2+3=57, 57×2+3=120.
4.(a) Each letter is shifted forward by one position: B→C, R→S, I→J, D→E, G→H, E→F, giving BRIDGE → CSJEHF.
5.(a) E2 is third from the left; F2 is immediately to its right, so F2 is fourth from the left; with exactly three people between F2 and G2, and G2 at the right end, G2 is eighth from the left.
6.(a) Guitar, Sitar, and Violin are all string instruments; a Trumpet is a brass wind instrument, making it the odd one out.
7.(a) All chemists are researchers, and all researchers are meticulous, so by transitivity all chemists are meticulous.
8.(a) Walking east then turning left (north) then left again (west) traces three sides of a rectangle 12 km by 18 km; the two 12 km legs (east, then west) cancel out, leaving a net displacement of 18 km to the north of the starting point.
9.(a) The logical order is Design, Manufacturing, Testing, Marketing.
10.(a) Each letter is shifted forward by one position: C→D, A→B, N→O, D→E, L→M, E→F, giving CANDLE → DBOEMF.
11.(a) J ≥ K > L and L > M together give J > M, since J is at least as large as K, which is strictly greater than L, which is strictly greater than M.
12.(a) Statement I: 27w = 351, so w = 13, a unique value — sufficient alone. Statement II only says w is a multiple of 13, which has many possible values — not sufficient alone.
13.(a) Position from the right = total − position from left + 1 = 112 − 45 + 1 = 68th.
14.(a) The differences between consecutive terms are 16, 33, and 67, each obtained as (previous difference ×2 + 1); the next difference is 67×2+1 = 135, giving 130+135 = 265.
15.(a) C is B's daughter and D is C's husband, so E (child of C and D) is B's grandchild through the daughter's line; A, being B's son, is E's maternal uncle.
16.(a) Each letter pair shifts forward by 4: F+4=J, L+4=P; J+4=N, P+4=T; N+4=R, T+4=X; R+4=V, X+4=B, giving VB.
17.(a) All sanctuaries are protected areas, and no protected area is exploitable, so no sanctuary is exploitable — the conclusion follows validly by transitivity.
18.(a) W6 is twenty-one positions above X6, and V6 is directly above W6 (one position above), so V6 is twenty-two positions above X6.
19.(a) Each letter is shifted forward by one position: C→D, O→P, L→M, U→V, M→N, N→O, giving COLUMN → DPMVNO.
20.(a) With B directly above A and C three positions above B, the stacking order from bottom is A, B, C, D, E, F, G — so G is at the very top as the seventh and topmost box.
21.(a) Numbering the eight seats 1 to 8 clockwise with Y2 at seat 1: Z2, third to the right, is at seat 4; A3, opposite Y2, is at seat 5. Third to the left of Z2 (seat 4) is seat 1, which is Y2.
22.(a) Rank from bottom = total − rank from top + 1 = 88 − 32 + 1 = 57th.
23.(a) Maple, Oak, and Pine are all trees; a Rose is a flowering shrub, making it the odd one out.
24.(a) A doctor works in a hospital; a teacher works in a school.
25.(a) A is B's sister, and C is B's son, so A is C's aunt.
26.(a) The first letters move forward by 3 (F, I, L, O, R) and the second letters move back by 3 (U, R, O, L, I), giving RI.
27.(a) Some athletes are swimmers, and all swimmers are disciplined, so those athletes who are swimmers are disciplined — hence some athletes are disciplined follows validly.
28.(a) Silver, Iron, and Zinc are all metals; Helium is a non-metal noble gas, making it the odd one out.
29.(a) Each letter of PLANET is shifted forward by 3 positions: P→S, L→O, A→D, N→Q, E→H, T→W, giving the code SODQHW; decoding SODQHW by shifting each letter back by 3 positions therefore returns PLANET.
30.(a) Statement I: if d is divisible by 32, it is automatically divisible by 16 (since 16 divides 32) — sufficient alone. Statement II: divisibility by 8 alone does not guarantee divisibility by 16 (e.g., 24 is divisible by 8 but not 16) — not sufficient alone.
31.(a) K3 is sixth from the right; L3 is immediately to its left, so L3 is seventh from the right; with exactly two people between L3 and M3 at the left end, the row must contain 9 people in total for the positions to be consistent.
32.(a) Each term follows ×2+1: 8×2+1=17, 17×2+1=35, 35×2+1=71, 71×2+1=143.
33.(a) The differences between consecutive terms are 14, 28, and 56, each obtained as (previous difference ×2); the next difference is 56×2 = 112, giving 109+112 = 221.
34.(a) A is B's father, and C is A's sister, so C is B's aunt.
35.(a) Saturn, Earth, and Mars are all planets in the solar system; the Sun is a star, making it the odd one out.
36.(a) Simple interest = (54,000×8×6)/100 = ₹25,920.
37.(a) Cost price = 1,610/1.15 = ₹1,400.
38.(a) Total of 45 numbers = 45×58 = 2,610; total of remaining 44 = 44×56 = 2,464; removed number = 2,610−2,464 = 146.
39.(a) The parts total 19+15 = 34; each part = 1,020/34 = 30; larger share = 19×30 = ₹570.
40.(a) The number = 1,700/0.85 = 2,000.
41.(a) Total distance = 260+210 = 470 km; total time = 4+3 = 7 hours; average speed = 470/7 ≈ 67.14 km/h.
42.(a) Amount = 54,000×(1.05)² = 59,535; compound interest = ₹5,535.
43.(a) Combined fill rate = 1/8+1/15−1/40 = 15/120+8/120−3/120 = 20/120 = 1/6, so together they take 6 minutes.
44.(a) Downstream speed = 14+2 = 16 km/h; time = 96/16 = 6 hours.
45.(a) Each term is multiplied by 3: 6×3=18, 18×3=54, 54×3=162, 162×3=486.
46.(a) Profit = 850−680 = ₹170; profit percentage = (170/680)×100 = 25%.
47.(a) Let B's present age be x and A's be 2x; nine years ago, 2x−9 = 3(x−9), giving 2x−9 = 3x−27, so x=18.
48.(a) 19(x−16)=11x+16 gives 19x−304=11x+16, so 8x=320, x=40.
49.(a) Area = 78×55 = 4,290 sq cm.
50.(a) The parts total 24+17 = 41; each part = 656/41 = 16; larger number = 24×16 = 384.
51.(a) A's share is 1.4 times B's (40% more), giving a 7:5 ratio; each of the 12 parts = 42,000/12 = 3,500, so B's share = 5×3,500 = ₹17,500.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 300 is 301/2 = 150.5.
53.(a) Selling price = 36,000×0.78 = ₹28,080.
54.(a) Each term follows ×2+2: 18×2+2=38, 38×2+2=78, 78×2+2=158, 158×2+2=318.
55.(a) A:B ratio = (1,60,000×7):(1,40,000×8) = 11,20,000:11,20,000 = 1:1.
56.(a) A sum becoming eleven times itself means the interest earned equals ten times the principal; rate = (10×100)/100 = 10% per annum.
57.(a) Side of the square = √1,089 = 33 cm; perimeter = 4×33 = 132 cm.
58.(a) Speed = 400 m / 20 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−26x+165=0 factorises as (x−11)(x−15)=0, giving roots 11 and 15; the smaller root is 11.
60.(a) Marking 90% above cost price and giving a 20% discount gives selling price = CP×1.90×0.80 = 1.52×CP, a net profit of 52%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 66 odd numbers is 66.
62.(a) A's share is 3.5 times B's (250% more), giving a 7:2 ratio; each of the 9 parts = 54,000/9 = 6,000, so B's share = 2×6,000 = ₹12,000.
63.(a) Combined fill rate = 1/8+1/15−1/40 = 15/120+8/120−3/120 = 20/120 = 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 101+104 = 205.
65.(a) Let A's age nine years ago be 5k and B's be 7k; their present ages are 5k+9 and 7k+9, in the ratio 3:4, giving 4(5k+9)=3(7k+9), so 20k+36=21k+27, k=9; A's present age = 5(9)+9 = 54 years.