Mock Test 19 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)
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Section A: Reasoning Ability (Q1–35)
- Six friends sit around a circular table facing the centre. E1 sits second to the right of F1. G1 sits opposite F1. H1 sits immediately to the left of G1. Where does H1 sit relative to E1?
(a) Second to the left (b) Third to the right (c) Opposite E1 (d) Immediately right - Pointing to a boy, a woman said, "He is the son of my only brother's wife." How is the boy related to the woman?
(a) Nephew (b) Son (c) Cousin (d) Brother - Find the next term: 8, 19, 41, 85, ?
(a) 173 (b) 169 (c) 177 (d) 165 - If in a code, WATER is coded as XBUFS, how is FOREST coded using the same rule?
(a) GPSFTU (b) GPSFTV (c) GPSETU (d) FPSFTU - Seven people sit in a row facing north. J9 is fourth from the left. K9 sits immediately to the right of J9. L9 sits at the right end. There is exactly one person between K9 and L9.
(a) K9 is fifth from the left, L9 is seventh (b) L9 is sixth from the left (c) K9 is sixth from the left (d) J9 is fifth from the left - Choose the odd one out.
(a) Mango (b) Rose (c) Lotus (d) Marigold - Premises: "All architects are designers. All designers are creative." Which conclusion follows?
(a) All architects are creative (b) All creative people are architects (c) No architects are creative (d) Some designers are not architects - A walks 16 km south, turns right and walks 22 km, then turns right again and walks 16 km. How far is he from the start, and in which direction?
(a) 22 km west of start (b) 16 km (c) 38 km (d) 28 km - Arrange in a logical sequence: 1. Harvesting 2. Sowing 3. Irrigation 4. Ploughing
(a) 4-2-3-1 (b) 1-2-3-4 (c) 2-4-3-1 (d) 4-3-2-1 - If in a code, WATER is written as XBUFS, how is CANDLE written?
(a) DBOEMF (b) DBOEMG (c) DBODMF (d) CBOEMF - 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 p?" Statement I: 19p − 38 = 209. Statement II: p is a two-digit number. 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 84 people, Reema is 33rd from the left. What is her position from the right?
(a) 52nd (b) 51st (c) 53rd (d) 50th - Find the missing number: 13, 29, 63, 133, ?
(a) 275 (b) 273 (c) 277 (d) 271 - A is the son of B. C is the daughter of B. D is the husband of C. E is the daughter of D and C. How is A related to E?
(a) Uncle (b) Father (c) Brother (d) Cousin - Complete the series: OT, SX, WB, AF, ?
(a) EJ (b) EI (c) DJ (d) FI - Statement: All temples are heritage sites. No heritage site is neglected. Conclusion: No temple is neglected.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 25 boxes (box 1 at the bottom), box N3 is directly above box O3, and O3 is twenty positions above box P3. How many positions separate N3 and P3?
(a) 21 (b) 20 (c) 22 (d) 19 - If in a code, MARKET is written as NBSLFU, how is COLUMN written using the same rule?
(a) DPMVNO (b) DPMVNP (c) DPMUNO (d) CPMVNO - Seven boxes A, B, C, D, E, F, 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. U1 occupies one seat; V1 sits third to the right of U1; W1 sits opposite U1. Who sits third to the left of V1?
(a) U1 (b) W1 (c) Cannot be determined (d) V1 - In a class of 72 students, Vikram ranks 18th from the top. What is his rank from the bottom?
(a) 55th (b) 54th (c) 56th (d) 53rd - Choose the odd one out.
(a) Sulphur (b) Copper (c) Aluminium (d) Iron - Complete the analogy: Pen : Write :: Broom : ?
(a) Sweep (b) Cut (c) Cook (d) Sew - A is the brother of B. B is the daughter of C. D is the husband of C. How is A related to D?
(a) Son (b) Nephew (c) Cousin (d) Brother-in-law - Find the missing letter-group: CX, FU, IR, LO, ?
(a) OL (b) OM (c) NL (d) PM - Statement: Some singers are dancers. All dancers are graceful. Conclusion: Some singers are graceful.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - Choose the odd one out.
(a) Cylinder (b) Rectangle (c) Rhombus (d) Trapezium - If in a code, MONKEY is written with each letter shifted forward by 4 positions in the alphabet, what does QSROIC decode to?
(a) MONKEY (b) MONKEX (c) NONKEY (d) MONKFY - Data Sufficiency: "Is p divisible by 20?" Statement I: p is divisible by 40. Statement II: p is divisible by 4.
(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. Y5 is fifth from the right. Z5 sits immediately to the left of Y5. A6 sits at the left end with exactly three people between Z5 and A6.
(a) 9 people sit in the row (b) 8 people (c) 10 people (d) 7 people - Find the next term: 3, 8, 18, 38, ?
(a) 78 (b) 76 (c) 80 (d) 74 - Find the missing term: 6, 14, 30, 62, ?
(a) 126 (b) 124 (c) 128 (d) 122 - A man said, pointing to a boy, "The boy's mother is the only daughter of my mother." How is the boy related to the man?
(a) Nephew (b) Son (c) Brother (d) Cousin - Choose the odd one out.
(a) Tabla (b) Flute (c) Violin (d) Sitar
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹56,000 at 8% per annum for 6 years.
(a) ₹26,880 (b) ₹26,000 (c) ₹27,000 (d) ₹26,500 - An article is sold for ₹1,449 after a markup of 15% on cost price. Find the cost price.
(a) ₹1,260 (b) ₹1,240 (c) ₹1,280 (d) ₹1,220 - The average of 48 numbers is 40. If one number is removed, the average of the remaining 47 numbers becomes 39. Find the removed number.
(a) 87 (b) 85 (c) 89 (d) 83 - Divide ₹950 between two people in the ratio 21:17. Find the larger share.
(a) ₹525 (b) ₹520 (c) ₹530 (d) ₹515 - 45% of a number is 900. Find the number.
(a) 2,000 (b) 1,950 (c) 2,050 (d) 1,900 - A car travels 300 km at 75 km/h and then 210 km at 70 km/h. Find its average speed for the whole journey.
(a) 510/7 km/h ≈ 72.86 km/h (b) 73 km/h (c) 71 km/h (d) 74 km/h - Find the compound interest on ₹56,000 for 2 years at 5% per annum, compounded annually.
(a) ₹5,740 (b) ₹5,600 (c) ₹5,800 (d) ₹5,500 - Two pipes can fill a tank in 10 and 15 minutes respectively. A third pipe can empty it in 18 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 9 minutes (b) 10 minutes (c) 8 minutes (d) 11 minutes - A boat's speed in still water is 20 km/h and the stream's speed is 4 km/h. Find the time to travel 96 km upstream.
(a) 6 hours (b) 5 hours (c) 7 hours (d) 5.5 hours - Find the next term in the series: 7, 21, 63, 189, ?
(a) 567 (b) 560 (c) 570 (d) 553 - An article with cost price ₹500 is sold for ₹650. Find the profit percentage.
(a) 30% (b) 28% (c) 32% (d) 25% - A's present age is twice B's present age. Seven years ago, A's age was three times B's age. Find B's present age.
(a) 14 years (b) 12 years (c) 16 years (d) 10 years - Solve for x: 9(x − 5) = 3x + 33.
(a) 13 (b) 12 (c) 14 (d) 11 - Find the area of a rectangle with length 68 cm and breadth 55 cm.
(a) 3,740 sq cm (b) 3,700 sq cm (c) 3,780 sq cm (d) 3,660 sq cm - Two numbers are in the ratio 16:19. If their sum is 490, find the larger number.
(a) 266 (b) 260 (c) 270 (d) 255 - A sum of ₹1,16,000 is divided between A and B such that A's share is 90% more than B's share. Find B's share.
(a) ₹40,000 (b) ₹42,000 (c) ₹38,000 (d) ₹44,000 - Find the average of the first 700 natural numbers.
(a) 350.5 (b) 350 (c) 351 (d) 349.5 - A marked price of ₹32,000 is discounted by 25%. Find the selling price.
(a) ₹24,000 (b) ₹23,500 (c) ₹24,500 (d) ₹23,000 - Find the missing number in the series: 26, 54, 110, 222, ?
(a) 446 (b) 442 (c) 450 (d) 438 - A invests ₹1,50,000 for 9 months and B invests ₹1,35,000 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 seven times itself in 72 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 2,304 sq cm.
(a) 192 cm (b) 188 cm (c) 196 cm (d) 184 cm - A train 480 m long crosses a pole in 24 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 − 25x + 154 = 0 (smaller root).
(a) 11 (b) 14 (c) 10 (d) 15 - A shopkeeper marks an article 60% above cost price and gives a discount of 25%. Find the overall profit percentage.
(a) 20% (b) 18% (c) 22% (d) 15% - Find the average of the first 96 odd natural numbers.
(a) 96 (b) 95 (c) 97 (d) 94 - A sum of ₹1,56,000 is divided between A and B such that A's share is 125% more than B's share. Find B's share.
(a) ₹48,000 (b) ₹50,000 (c) ₹46,000 (d) ₹52,000 - Two pipes can fill a tank in 12 and 18 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) 9 minutes (b) 10 minutes (c) 8 minutes (d) 11 minutes - Find the next term: 16, 35, 74, 153, ?
(a) 312 (b) 308 (c) 316 (d) 304 - The ratio of ages of A and B, five years ago, was 3:5. Their present ages are in the ratio 2:3. Find A's present age.
(a) 25 years (b) 20 years (c) 30 years (d) 35 years - Find the compound interest on ₹50,000 for 2 years at 8% per annum, compounded annually.
(a) ₹8,320 (b) ₹8,000 (c) ₹8,500 (d) ₹7,800 - A sells an article to B at a profit of 10%, and B sells it to C at a profit of 25%. 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 15 days and B in 30 days. They work together for 2 days, after which A leaves. In how many more days will B finish the remaining work?
(a) 24 days (b) 22 days (c) 26 days (d) 20 days - Find the value of x if 12(x − 9) = 3x + 51.
(a) 19 (b) 18 (c) 20 (d) 17 - Two vessels contain milk and water in the ratio 5:3 and 2:1 respectively. If 32 litres from the first and 18 litres from the second are mixed, find the ratio of milk to water in the mixture.
(a) 32:15 (b) 3:2 (c) 5:3 (d) 2:1
Answer Key with Explanations
1.(a) E1 sits second to the right of F1 on a six-seat circle; G1 sits opposite F1; H1 sits immediately to the left of G1. Tracing the seats around, H1 falls second to the left of E1.
2.(a) The woman's only brother's wife is her sister-in-law; the son of her sister-in-law is her brother's son, which makes the boy the woman's nephew.
3.(a) Each term follows ×2+3: 8×2+3=19, 19×2+3=41, 41×2+3=85, 85×2+3=173.
4.(a) Each letter is shifted forward by one position: F→G, O→P, R→S, E→F, S→T, T→U, giving FOREST → GPSFTU.
5.(a) J9 is fourth from the left; K9 is immediately to its right, so K9 is fifth from the left; with exactly one person between K9 and L9, and L9 at the right end, L9 is seventh from the left.
6.(a) Rose, Lotus, and Marigold are all flowers; a Mango is a fruit, making it the odd one out.
7.(a) All architects are designers, and all designers are creative, so by transitivity all architects are creative.
8.(a) Walking south then turning right (west) then right again (north) traces three sides of a rectangle 16 km by 22 km; the two 16 km legs (south, then north) cancel out, leaving a net displacement of 22 km to the west of the starting point.
9.(a) The logical order is Ploughing, Sowing, Irrigation, Harvesting.
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) A ≥ B > C and C > D together give A > D, since A is at least as large as B, which is strictly greater than C, which is strictly greater than D.
12.(a) Statement I: 19p = 247, so p = 13, a unique value — sufficient alone. Statement II only says p is a two-digit number, which has many possible values — not sufficient alone.
13.(a) Position from the right = total − position from left + 1 = 84 − 33 + 1 = 52nd.
14.(a) The differences between consecutive terms are 16, 34, and 70, each obtained as (previous difference ×2 + 2); the next difference is 70×2+2 = 142, giving 133+142 = 275.
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: O+4=S, T+4=X; S+4=W, X+4=B; W+4=A, B+4=F; A+4=E, F+4=J, giving EJ.
17.(a) All temples are heritage sites, and no heritage site is neglected, so no temple is neglected — the conclusion follows validly by transitivity.
18.(a) O3 is twenty positions above P3, and N3 is directly above O3 (one position above), so N3 is twenty-one positions above P3.
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 U1 at seat 1: V1, third to the right, is at seat 4; W1, opposite U1, is at seat 5. Third to the left of V1 (seat 4) is seat 1, which is U1.
22.(a) Rank from bottom = total − rank from top + 1 = 72 − 18 + 1 = 55th.
23.(a) Copper, Aluminium, and Iron are all metals; Sulphur is a non-metal, making it the odd one out.
24.(a) A pen's purpose is to write; a broom's purpose is to sweep.
25.(a) A is B's brother, and B is C's daughter, so A is also C's child, that is, C's son; since D is the husband of C, D is A's father, making A simply D's son.
26.(a) The first letters move forward by 3 (C, F, I, L, O) and the second letters move back by 3 (X, U, R, O, L), giving OL.
27.(a) Some singers are dancers, and all dancers are graceful, so those singers who are dancers are graceful — hence some singers are graceful follows validly.
28.(a) Rectangle, Rhombus, and Trapezium are all two-dimensional quadrilaterals; a Cylinder is a three-dimensional solid, making it the odd one out.
29.(a) Each letter of MONKEY is shifted forward by 4 positions: M→Q, O→S, N→R, K→O, E→I, Y→C, giving the code QSROIC; decoding QSROIC by shifting each letter back by 4 positions therefore returns MONKEY.
30.(a) Statement I: if p is divisible by 40, it is automatically divisible by 20 (since 20 divides 40) — sufficient alone. Statement II: divisibility by 4 alone does not guarantee divisibility by 20 (e.g., 8 is divisible by 4 but not 20) — not sufficient alone.
31.(a) Y5 is fifth from the right; Z5 is immediately to its left, so Z5 is sixth from the right; with exactly three people between Z5 and A6 at the left end, the row must contain 9 people in total for the positions to be consistent.
32.(a) Each term follows ×2+2: 3×2+2=8, 8×2+2=18, 18×2+2=38, 38×2+2=78.
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) The only daughter of the man's mother is the man's own sister; the boy, being that sister's son, is therefore the man's nephew.
35.(a) Flute, Violin, and Sitar are all melodic instruments; Tabla is a percussion instrument, making it the odd one out.
36.(a) Simple interest = (56,000×8×6)/100 = ₹26,880.
37.(a) Cost price = 1,449/1.15 = ₹1,260.
38.(a) Total of 48 numbers = 48×40 = 1,920; total of remaining 47 = 47×39 = 1,833; removed number = 1,920−1,833 = 87.
39.(a) The parts total 21+17 = 38; each part = 950/38 = 25; larger share = 21×25 = ₹525.
40.(a) The number = 900/0.45 = 2,000.
41.(a) Total distance = 300+210 = 510 km; total time = 4+3 = 7 hours; average speed = 510/7 ≈ 72.86 km/h.
42.(a) Amount = 56,000×(1.05)² = 61,740; compound interest = ₹5,740.
43.(a) Combined fill rate = 1/10+1/15−1/18 = 9/90+6/90−5/90 = 10/90 = 1/9, so together they take 9 minutes.
44.(a) Upstream speed = 20−4 = 16 km/h; time = 96/16 = 6 hours.
45.(a) Each term is multiplied by 3: 7×3=21, 21×3=63, 63×3=189, 189×3=567.
46.(a) Profit = 650−500 = ₹150; profit percentage = (150/500)×100 = 30%.
47.(a) Let B's present age be x and A's be 2x; seven years ago, 2x−7 = 3(x−7), giving 2x−7 = 3x−21, so x=14.
48.(a) 9(x−5)=3x+33 gives 9x−45=3x+33, so 6x=78, x=13.
49.(a) Area = 68×55 = 3,740 sq cm.
50.(a) The parts total 16+19 = 35; each part = 490/35 = 14; larger number = 19×14 = 266.
51.(a) A's share is 1.9 times B's (90% more), giving a 19:10 ratio; each of the 29 parts = 1,16,000/29 = 4,000, so B's share = 10×4,000 = ₹40,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 700 is 701/2 = 350.5.
53.(a) Selling price = 32,000×0.75 = ₹24,000.
54.(a) Each term follows ×2+2: 26×2+2=54, 54×2+2=110, 110×2+2=222, 222×2+2=446.
55.(a) A:B ratio = (1,50,000×9):(1,35,000×10) = 13,50,000:13,50,000 = 1:1.
56.(a) A sum becoming seven times itself means the interest earned equals six times the principal; rate = (6×100)/72 = 25/3% per annum.
57.(a) Side of the square = √2,304 = 48 cm; perimeter = 4×48 = 192 cm.
58.(a) Speed = 480 m / 24 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−25x+154=0 factorises as (x−11)(x−14)=0, giving roots 11 and 14; the smaller root is 11.
60.(a) Marking 60% above cost price and giving a 25% discount gives selling price = CP×1.60×0.75 = 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 96 odd numbers is 96.
62.(a) A's share is 2.25 times B's (125% more), giving a 9:4 ratio; each of the 13 parts = 1,56,000/13 = 12,000, so B's share = 4×12,000 = ₹48,000.
63.(a) Combined fill rate = 1/12+1/18−1/36 = 3/36+2/36−1/36 = 4/36 = 1/9, so together they take 9 minutes.
64.(a) The differences between consecutive terms are 19, 39, and 79, each obtained as (previous difference ×2 + 1); the next difference is 79×2+1 = 159, giving 153+159 = 312.
65.(a) Let A's age five years ago be 3k and B's be 5k; their present ages are 3k+5 and 5k+5, in the ratio 2:3, giving 3(3k+5)=2(5k+5), so 9k+15=10k+10, k=5; A's present age = 3(5)+5 = 20 years.
66.(a) Amount = 50,000×(1.08)² = 58,320; compound interest = ₹8,320.
67.(a) Let A's cost be y; B pays y×1.10, and C pays y×1.10×1.25 = 1.375y = 8,250, so y = ₹6,000.
68.(a) Combined rate = 1/15+1/30 = 2/30+1/30 = 3/30 = 1/10 of the work per day; in 2 days, they complete 2/10 = 1/5 of the work, leaving 4/5 of the work; B alone, at a rate of 1/30 per day, takes (4/5)×30 = 24 days to finish the remaining work.