Mock Test 20 — 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. J2 sits third to the right of K2. L2 sits opposite K2. M2 sits immediately to the right of L2. Where does M2 sit relative to J2?
(a) Immediately to the left (b) Opposite (c) Second to the right (d) Third to the left - A is the father of B. C is the sister of B. How is C related to A?
(a) Daughter (b) Sister (c) Mother (d) Niece - Find the next term: 9, 20, 43, 90, ?
(a) 185 (b) 181 (c) 189 (d) 177 - If in a code, HOUSE is coded as IPVTF, how is CANDLE coded using the same rule?
(a) DBOEMF (b) DBOEMG (c) DBODMF (d) CBOEMF - Eight people sit in a row facing north. R1 is third from the left. S1 sits immediately to the right of R1. T1 sits at the right end. There are exactly three people between S1 and T1.
(a) S1 is fourth from the left, T1 is eighth (b) T1 is seventh from the left (c) S1 is fifth from the left (d) R1 is fourth from the left - Choose the odd one out.
(a) Salmon (b) Whale (c) Shark (d) Dolphin - Premises: "All musicians are performers. All performers are disciplined." Which conclusion follows?
(a) All musicians are disciplined (b) All disciplined people are musicians (c) No musicians are disciplined (d) Some performers are not musicians - A walks 18 km north, turns left and walks 25 km, then turns left again and walks 18 km. How far is he from the start, and in which direction?
(a) 25 km west of start (b) 18 km (c) 43 km (d) 36 km - Arrange in a logical sequence: 1. Payment 2. Order 3. Delivery 4. Browsing
(a) 4-2-1-3 (b) 1-2-3-4 (c) 4-1-2-3 (d) 2-4-1-3 - If in a code, HOUSE is written as IPVTF, how is MARKET written?
(a) NBSLFU (b) NBSLFV (c) NBSKFU (d) MBSLFU - Given: X > Y ≥ Z and Z > W. Which relationship necessarily holds between X and W?
(a) X > W (b) X < W (c) X = W (d) Cannot be determined - Data Sufficiency: "What is the value of r?" Statement I: 21r − 63 = 210. Statement II: r is a multiple of 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 150 people, Nisha is 58th from the left. What is her position from the right?
(a) 93rd (b) 92nd (c) 94th (d) 91st - Find the missing number: 20, 43, 90, 185, ?
(a) 376 (b) 372 (c) 380 (d) 368 - 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: PU, TY, XC, BG, ?
(a) FK (b) FJ (c) EK (d) GJ - Statement: All monasteries are religious sites. No religious site is commercial. Conclusion: No monastery is commercial.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 30 crates (crate 1 at the bottom), crate X4 is directly above crate Y4, and Y4 is twenty-four positions above crate Z4. How many positions separate X4 and Z4?
(a) 25 (b) 24 (c) 26 (d) 23 - If in a code, PENCIL is written as QFODJM, how is MARKER written using the same rule?
(a) NBSLFS (b) NBSLFT (c) NBSLES (d) MBSLFS - Eight boxes A through H are stacked with A at the bottom and H at the top; B is directly above A; C is four positions above B. Which box is at the very top?
(a) H (b) G (c) F (d) E - Eight friends sit around a circular table facing outward. F3 occupies one seat; G3 sits third to the right of F3; H3 sits opposite F3. Who sits third to the left of G3?
(a) F3 (b) H3 (c) Cannot be determined (d) G3 - In a class of 90 students, Aditi ranks 34th from the top. What is her rank from the bottom?
(a) 57th (b) 56th (c) 58th (d) 55th - Choose the odd one out.
(a) Hammer (b) Screwdriver (c) Wrench (d) Pliers - Complete the analogy: Scissors : Cut :: Hammer : ?
(a) Strike (b) Bend (c) Twist (d) Grip - A is the mother of B. C is the brother of B. How is C related to A?
(a) Son (b) Daughter (c) Nephew (d) Father - Find the missing letter-group: DW, GT, JQ, MN, ?
(a) PK (b) PL (c) OK (d) QL - Statement: Some painters are sculptors. All sculptors are patient. Conclusion: Some painters are patient.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - Choose the odd one out.
(a) Oxygen (b) Silver (c) Gold (d) Platinum - If in a code, GARDEN is written with each letter shifted forward by 3 positions in the alphabet, what does JDUGHQ decode to?
(a) GARDEN (b) GARDEO (c) HARDEN (d) GARDEM - Data Sufficiency: "Is q divisible by 18?" Statement I: q is divisible by 36. Statement II: q is divisible by 9.
(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. M4 is sixth from the right. N4 sits immediately to the left of M4. O4 sits at the left end with exactly two people between N4 and O4.
(a) 9 people sit in the row (b) 8 people (c) 10 people (d) 7 people - Find the next term: 6, 13, 27, 55, ?
(a) 111 (b) 109 (c) 113 (d) 107 - Find the missing term: 8, 18, 38, 78, ?
(a) 158 (b) 156 (c) 160 (d) 154 - A is the wife of B. C is the son of B. How is A related to C?
(a) Mother (b) Aunt (c) Sister (d) Grandmother - Choose the odd one out.
(a) Cotton (b) Wheat (c) Rice (d) Maize
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹65,000 at 7% per annum for 5 years.
(a) ₹22,750 (b) ₹22,000 (c) ₹23,000 (d) ₹22,500 - An article is sold for ₹1,196 after a markup of 15% on cost price. Find the cost price.
(a) ₹1,040 (b) ₹1,020 (c) ₹1,060 (d) ₹1,000 - The average of 50 numbers is 48. If one number is removed, the average of the remaining 49 numbers becomes 47. Find the removed number.
(a) 97 (b) 95 (c) 99 (d) 93 - Divide ₹1,080 between two people in the ratio 19:17. Find the larger share.
(a) ₹570 (b) ₹565 (c) ₹575 (d) ₹560 - 35% of a number is 700. Find the number.
(a) 2,000 (b) 1,950 (c) 2,050 (d) 1,900 - A car travels 280 km at 70 km/h and then 225 km at 75 km/h. Find its average speed for the whole journey.
(a) 505/7 km/h ≈ 72.14 km/h (b) 73 km/h (c) 71 km/h (d) 74 km/h - Find the compound interest on ₹65,000 for 2 years at 4% per annum, compounded annually.
(a) ₹5,304 (b) ₹5,200 (c) ₹5,400 (d) ₹5,100 - Two pipes can fill a tank in 9 and 12 minutes respectively. A third pipe can empty it in 36 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 22 km/h and the stream's speed is 2 km/h. Find the time to travel 120 km downstream.
(a) 5 hours (b) 6 hours (c) 4.5 hours (d) 5.5 hours - Find the next term in the series: 9, 27, 81, 243, ?
(a) 729 (b) 720 (c) 735 (d) 715 - An article with cost price ₹900 is sold for ₹1,170. Find the profit percentage.
(a) 30% (b) 28% (c) 32% (d) 25% - A's present age is twice B's present age. Eight years ago, A's age was three times B's age. Find B's present age.
(a) 16 years (b) 14 years (c) 18 years (d) 12 years - Solve for x: 8(x − 17) = 5x + 20.
(a) 52 (b) 50 (c) 54 (d) 48 - Find the area of a rectangle with length 75 cm and breadth 56 cm.
(a) 4,200 sq cm (b) 4,160 sq cm (c) 4,240 sq cm (d) 4,120 sq cm - Two numbers are in the ratio 22:17. If their sum is 585, find the larger number.
(a) 330 (b) 325 (c) 335 (d) 320 - A sum of ₹54,000 is divided between A and B such that A's share is 25% more than B's share. Find B's share.
(a) ₹24,000 (b) ₹26,000 (c) ₹22,000 (d) ₹28,000 - Find the average of the first 500 natural numbers.
(a) 250.5 (b) 250 (c) 251 (d) 249.5 - A marked price of ₹40,000 is discounted by 12%. Find the selling price.
(a) ₹35,200 (b) ₹34,800 (c) ₹35,600 (d) ₹35,000 - Find the missing number in the series: 24, 50, 102, 206, ?
(a) 414 (b) 410 (c) 418 (d) 406 - A invests ₹2,00,000 for 6 months and B invests ₹1,50,000 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 five times itself in 48 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 3,364 sq cm.
(a) 232 cm (b) 228 cm (c) 236 cm (d) 224 cm - A train 420 m long crosses a pole in 21 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 − 29x + 210 = 0 (smaller root).
(a) 14 (b) 15 (c) 13 (d) 16 - A shopkeeper marks an article 50% above cost price and gives a discount of 20%. Find the overall profit percentage.
(a) 20% (b) 18% (c) 22% (d) 15% - Find the average of the first 144 odd natural numbers.
(a) 144 (b) 143 (c) 145 (d) 142 - A sum of ₹48,000 is divided between A and B such that A's share is 200% more than B's share. Find B's share.
(a) ₹12,000 (b) ₹14,000 (c) ₹10,000 (d) ₹16,000 - Two pipes can fill a tank in 9 and 12 minutes respectively. A third pipe can empty it in 36 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: 12, 27, 58, 121, ?
(a) 248 (b) 244 (c) 252 (d) 240 - The ratio of ages of A and B, six years ago, was 4:5. Their present ages are in the ratio 5:6. Find B's present age.
(a) 36 years (b) 30 years (c) 42 years (d) 24 years - Find the compound interest on ₹70,000 for 2 years at 5% per annum, compounded annually.
(a) ₹7,175 (b) ₹7,000 (c) ₹7,300 (d) ₹6,900 - A sells an article to B at a profit of 15%, and B sells it to C at a profit of 20%. 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 9 days and B in 12 days. They work together for 3 days, after which A leaves. In how many more days will B finish the remaining work?
(a) 5 days (b) 6 days (c) 4 days (d) 7 days - Find the value of x if 6(x − 4) = 2x + 8.
(a) 8 (b) 7 (c) 9 (d) 6 - Two vessels contain milk and water in the ratio 3:1 and 5:2 respectively. If 24 litres from the first and 21 litres from the second are mixed, find the ratio of milk to water in the mixture.
(a) 33:12 (b) 3:2 (c) 5:3 (d) 2:1
Answer Key with Explanations
1.(a) J2 sits third to the right of K2 on a seven-seat circle; L2 sits opposite K2; M2 sits immediately to the right of L2. Tracing the seats around, M2 falls immediately to the left of J2.
2.(a) A is B's father, and C is B's sister, so C is also A's child, that is, A's daughter.
3.(a) The differences between consecutive terms are 11, 23, and 47, each obtained as (previous difference ×2 + 1); the next difference is 47×2+1 = 95, giving 90+95 = 185.
4.(a) Each letter is shifted forward by one position: C→D, A→B, N→O, D→E, L→M, E→F, giving CANDLE → DBOEMF.
5.(a) R1 is third from the left; S1 is immediately to its right, so S1 is fourth from the left; with exactly three people between S1 and T1, and T1 at the right end, T1 is eighth from the left.
6.(a) Whale, Shark, and Dolphin are all found predominantly in oceans; Salmon is best known for migrating from the sea into freshwater rivers to spawn, making it the odd one out among primarily marine dwellers.
7.(a) All musicians are performers, and all performers are disciplined, so by transitivity all musicians are disciplined.
8.(a) Walking north then turning left (west) then left again (south) traces three sides of a rectangle 18 km by 25 km; the two 18 km legs (north, then south) cancel out, leaving a net displacement of 25 km to the west of the starting point.
9.(a) The logical order is Browsing, Order, Payment, Delivery.
10.(a) Each letter is shifted forward by one position: M→N, A→B, R→S, K→L, E→F, T→U, giving MARKET → NBSLFU.
11.(a) X > Y ≥ Z and Z > W together give X > W, since X is strictly greater than Y, which is at least as large as Z, which is strictly greater than W.
12.(a) Statement I: 21r = 273, so r = 13, a unique value — sufficient alone. Statement II only says r is a multiple of 3, which has many possible values — not sufficient alone.
13.(a) Position from the right = total − position from left + 1 = 150 − 58 + 1 = 93rd.
14.(a) The differences between consecutive terms are 23, 47, and 95, each obtained as (previous difference ×2 + 1); the next difference is 95×2+1 = 191, giving 185+191 = 376.
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: P+4=T, U+4=Y; T+4=X, Y+4=C; X+4=B, C+4=G; B+4=F, G+4=K, giving FK.
17.(a) All monasteries are religious sites, and no religious site is commercial, so no monastery is commercial — the conclusion follows validly by transitivity.
18.(a) Y4 is twenty-four positions above Z4, and X4 is directly above Y4 (one position above), so X4 is twenty-five positions above Z4.
19.(a) Each letter is shifted forward by one position: M→N, A→B, R→S, K→L, E→F, R→S, giving MARKER → NBSLFS.
20.(a) With B directly above A and C four positions above B, the stacking order from bottom is A, B, C, D, E, F, G, H — so H is at the very top as the eighth and topmost box.
21.(a) Numbering the eight seats 1 to 8 clockwise with F3 at seat 1: G3, third to the right, is at seat 4; H3, opposite F3, is at seat 5. Third to the left of G3 (seat 4) is seat 1, which is F3.
22.(a) Rank from bottom = total − rank from top + 1 = 90 − 34 + 1 = 57th.
23.(a) Screwdriver, Wrench, and Pliers are all hand tools primarily used for turning, gripping, or fastening; a Hammer is used for striking, making it the odd one out.
24.(a) Scissors are used to cut; a hammer is used to strike.
25.(a) A is B's mother, and C is B's brother, so C is also A's child, that is, A's son.
26.(a) The first letters move forward by 3 (D, G, J, M, P) and the second letters move back by 3 (W, T, Q, N, K), giving PK.
27.(a) Some painters are sculptors, and all sculptors are patient, so those painters who are sculptors are patient — hence some painters are patient follows validly.
28.(a) Silver, Gold, and Platinum are all metals; Oxygen is a non-metal gas, making it the odd one out.
29.(a) Each letter of GARDEN is shifted forward by 3 positions: G→J, A→D, R→U, D→G, E→H, N→Q, giving the code JDUGHQ; decoding JDUGHQ by shifting each letter back by 3 positions therefore returns GARDEN.
30.(a) Statement I: if q is divisible by 36, it is automatically divisible by 18 (since 18 divides 36) — sufficient alone. Statement II: divisibility by 9 alone does not guarantee divisibility by 18 (e.g., 9 is divisible by 9 but not 18) — not sufficient alone.
31.(a) M4 is sixth from the right; N4 is immediately to its left, so N4 is seventh from the right; with exactly two people between N4 and O4 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: 6×2+1=13, 13×2+1=27, 27×2+1=55, 55×2+1=111.
33.(a) Each term follows ×2+2: 8×2+2=18, 18×2+2=38, 38×2+2=78, 78×2+2=158.
34.(a) A is B's wife, and C is B's son, so A is C's mother.
35.(a) Wheat, Rice, and Maize are all cereal food crops; Cotton is a fibre crop, making it the odd one out.
36.(a) Simple interest = (65,000×7×5)/100 = ₹22,750.
37.(a) Cost price = 1,196/1.15 = ₹1,040.
38.(a) Total of 50 numbers = 50×48 = 2,400; total of remaining 49 = 49×47 = 2,303; removed number = 2,400−2,303 = 97.
39.(a) The parts total 19+17 = 36; each part = 1,080/36 = 30; larger share = 19×30 = ₹570.
40.(a) The number = 700/0.35 = 2,000.
41.(a) Total distance = 280+225 = 505 km; total time = 4+3 = 7 hours; average speed = 505/7 ≈ 72.14 km/h.
42.(a) Amount = 65,000×(1.04)² = 70,304; compound interest = ₹5,304.
43.(a) Combined fill rate = 1/9+1/12−1/36 = 4/36+3/36−1/36 = 6/36 = 1/6, so together they take 6 minutes.
44.(a) Downstream speed = 22+2 = 24 km/h; time = 120/24 = 5 hours.
45.(a) Each term is multiplied by 3: 9×3=27, 27×3=81, 81×3=243, 243×3=729.
46.(a) Profit = 1,170−900 = ₹270; profit percentage = (270/900)×100 = 30%.
47.(a) Let B's present age be x and A's be 2x; eight years ago, 2x−8 = 3(x−8), giving 2x−8 = 3x−24, so x=16.
48.(a) 8(x−17)=5x+20 gives 8x−136=5x+20, so 3x=156, x=52.
49.(a) Area = 75×56 = 4,200 sq cm.
50.(a) The parts total 22+17 = 39; each part = 585/39 = 15; larger number = 22×15 = 330.
51.(a) A's share is 1.25 times B's (25% more), giving a 5:4 ratio; each of the 9 parts = 54,000/9 = 6,000, so B's share = 4×6,000 = ₹24,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 500 is 501/2 = 250.5.
53.(a) Selling price = 40,000×0.88 = ₹35,200.
54.(a) Each term follows ×2+2: 24×2+2=50, 50×2+2=102, 102×2+2=206, 206×2+2=414.
55.(a) A:B ratio = (2,00,000×6):(1,50,000×8) = 12,00,000:12,00,000 = 1:1.
56.(a) A sum becoming five times itself means the interest earned equals four times the principal; rate = (4×100)/48 = 25/3% per annum.
57.(a) Side of the square = √3,364 = 58 cm; perimeter = 4×58 = 232 cm.
58.(a) Speed = 420 m / 21 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−29x+210=0 factorises as (x−14)(x−15)=0, giving roots 14 and 15; the smaller root is 14.
60.(a) Marking 50% above cost price and giving a 20% discount gives selling price = CP×1.50×0.80 = 1.20×CP, a net profit of 20%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 144 odd numbers is 144.
62.(a) A's share is 3 times B's (200% more), giving a 3:1 ratio; each of the 4 parts = 48,000/4 = 12,000, so B's share = 1×12,000 = ₹12,000.
63.(a) Combined fill rate = 1/9+1/12−1/36 = 4/36+3/36−1/36 = 6/36 = 1/6, so together they take 6 minutes.
64.(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.
65.(a) Let A's age six years ago be 4k and B's be 5k; their present ages are 4k+6 and 5k+6, in the ratio 5:6, giving 6(4k+6)=5(5k+6), so 24k+36=25k+30, k=6; B's present age = 5(6)+6 = 36 years.
66.(a) Amount = 70,000×(1.05)² = 77,175; compound interest = ₹7,175.
67.(a) Let A's cost be y; B pays y×1.15, and C pays y×1.15×1.20 = 1.38y = 8,280, so y = ₹6,000.
68.(a) Combined rate = 1/9+1/12 = 4/36+3/36 = 7/36 of the work per day; in 3 days, they complete 21/36 = 7/12 of the work, leaving 5/12 of the work; B alone, at a rate of 1/12 per day, takes (5/12)×12 = 5 days to finish the remaining work.
69.(a) 6(x−4)=2x+8 gives 6x−24=2x+8, so 4x=32, x=8.
70.(a) First vessel: 24 litres in ratio 3:1 gives milk = 18, water = 6; second vessel: 21 litres in ratio 5:2 gives milk = 15, water = 6; total milk = 33, total water = 12, giving the ratio 33:12.