Mock Test 18 — 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. A9 sits third to the right of B9. C9 sits opposite B9. D9 sits immediately to the right of C9. Where does D9 sit relative to A9?
(a) Immediately to the left (b) Opposite (c) Second to the right (d) Third to the left - Pointing to a man, a woman said, "He is my father's son's son." How is the man related to the woman, assuming the woman has only one brother and no other siblings?
(a) Nephew (b) Brother (c) Cousin (d) Son - Find the next term: 6, 15, 33, 69, ?
(a) 141 (b) 137 (c) 145 (d) 133 - If in a code, PLANT is coded as QMBOU, how is FLOWER coded using the same rule?
(a) GMPXFS (b) GMPXFT (c) GMPXES (d) FMPXFS - Nine people sit in a row facing north. C8 is fourth from the left. D8 sits immediately to the right of C8. E8 sits at the right end. There are exactly three people between D8 and E8.
(a) D8 is fifth from the left, E8 is ninth (b) D8 is sixth from the left (c) E8 is eighth from the left (d) C8 is fifth from the left - Choose the odd one out.
(a) Turtle (b) Cobra (c) Crocodile (d) Lizard - Premises: "All scholars are readers. All readers are curious." Which conclusion follows?
(a) All scholars are curious (b) All curious people are scholars (c) No scholars are curious (d) Some readers are not scholars - A walks 20 km west, turns left and walks 12 km, then turns left again and walks 20 km. How far is he from the start, and in which direction?
(a) 12 km north of start (b) 20 km (c) 32 km (d) 24 km - Arrange in a logical sequence: 1. Boarding 2. Booking 3. Security check 4. Check-in
(a) 2-4-3-1 (b) 1-2-3-4 (c) 2-3-4-1 (d) 4-2-3-1 - If in a code, PLANT is written as QMBOU, how is GARDEN written?
(a) HBSEFO (b) HBSEFN (c) HBSDFO (d) GBSEFO - 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 k?" Statement I: 15k − 45 = 300. Statement II: k is even. 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 96 people, Kabir is 39th from the left. What is his position from the right?
(a) 58th (b) 57th (c) 59th (d) 56th - Find the missing number: 11, 24, 51, 106, ?
(a) 217 (b) 215 (c) 219 (d) 213 - A is the daughter of B. C is the son of B. D is the wife of C. E is the son of D and C. How is A related to E?
(a) Aunt (b) Sister (c) Mother (d) Cousin - Complete the series: JN, NR, RV, VZ, ?
(a) ZD (b) ZC (c) YD (d) ZE - Statement: All bakeries are shops. No shop is unlicensed. Conclusion: No bakery is unlicensed.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 22 trays (tray 1 at the bottom), tray K2 is directly above tray L2, and L2 is eighteen positions above tray M2. How many positions separate K2 and M2?
(a) 19 (b) 18 (c) 20 (d) 17 - If in a code, HOUSE is written as IPVTF, how is GARDEN written using the same rule?
(a) HBSEFO (b) HBSEFP (c) HBSDFO (d) GBSEFO - Six boxes A, B, C, D, E, F are stacked with A at the bottom and F at the top; B is directly above A; C is two positions above B. Which box is at the very top?
(a) F (b) E (c) D (d) C - Eight friends sit around a circular table facing outward. P2 occupies one seat; Q2 sits third to the right of P2; R2 sits opposite P2. Who sits immediately to the right of Q2?
(a) R2 (b) P2 (c) S2 (d) Cannot be determined - In a class of 68 students, Zara ranks 25th from the top. What is her rank from the bottom?
(a) 44th (b) 43rd (c) 45th (d) 42nd - Choose the odd one out.
(a) Bicycle (b) Sedan (c) Truck (d) Van - Complete the analogy: Ice : Cold :: Fire : ?
(a) Hot (b) Bright (c) Fast (d) Loud - A is the sister of B. B is the father of C. D is the mother of C. How is A related to D?
(a) Sister-in-law (b) Mother (c) Aunt (d) Cousin - Find the missing letter-group: BY, EV, HS, KP, ?
(a) NM (b) NL (c) ON (d) MM - Statement: Some tailors are artists. All artists are creative. Conclusion: Some tailors are creative.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - Choose the odd one out.
(a) Copper (b) Litre (c) Millilitre (d) Kilolitre - If in a code, TEACHER is written with each letter shifted forward by 3 positions in the alphabet, what does WHDFKHU decode to?
(a) TEACHER (b) TEACHES (c) SEACHER (d) TEACHED - Data Sufficiency: "Is m divisible by 15?" Statement I: m is divisible by 45. Statement II: m is divisible by 5.
(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 - Eight friends sit in a row facing south. R4 is fourth from the right. S4 sits immediately to the left of R4. T4 sits at the left end with exactly three people between S4 and T4.
(a) 8 people sit in the row (b) 7 people (c) 9 people (d) 6 people - Find the next term: 4, 9, 19, 39, ?
(a) 79 (b) 77 (c) 81 (d) 75 - Find the missing term: 7, 17, 37, 77, ?
(a) 157 (b) 155 (c) 159 (d) 153 - Pointing to a photograph, a woman said, "The person in this photograph is my mother's only son's daughter." How is the person related to the woman?
(a) Niece (b) Daughter (c) Sister (d) Cousin - Choose the odd one out.
(a) Sphere (b) Cube (c) Cone (d) Cylinder
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹48,000 at 9% per annum for 5 years.
(a) ₹21,600 (b) ₹21,000 (c) ₹22,000 (d) ₹21,200 - An article is sold for ₹1,380 after a markup of 15% on cost price. Find the cost price.
(a) ₹1,200 (b) ₹1,180 (c) ₹1,220 (d) ₹1,160 - The average of 36 numbers is 62. If one number is removed, the average of the remaining 35 numbers becomes 60. Find the removed number.
(a) 132 (b) 130 (c) 134 (d) 128 - Divide ₹840 between two people in the ratio 17:13. Find the larger share.
(a) ₹476 (b) ₹470 (c) ₹480 (d) ₹465 - 65% of a number is 1,300. 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 240 km at 60 km/h. Find its average speed for the whole journey.
(a) 500/8 km/h = 62.5 km/h (b) 63 km/h (c) 61 km/h (d) 64 km/h - Find the compound interest on ₹48,000 for 2 years at 5% per annum, compounded annually.
(a) ₹4,920 (b) ₹4,800 (c) ₹5,000 (d) ₹4,700 - Two taps can fill a tank in 10 and 30 minutes respectively. A third pipe can empty it in 45 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 18 km/h and the stream's speed is 2 km/h. Find the time to travel 100 km downstream.
(a) 5 hours (b) 6 hours (c) 4.5 hours (d) 5.5 hours - Find the next term in the series: 5, 20, 80, 320, ?
(a) 1,280 (b) 1,250 (c) 1,300 (d) 1,220 - An article with cost price ₹850 is sold for ₹1,020. Find the profit percentage.
(a) 20% (b) 18% (c) 22% (d) 25% - A's present age is twice B's present age. Six years ago, A's age was four times B's age. Find B's present age.
(a) 9 years (b) 8 years (c) 10 years (d) 7 years - Solve for x: 17(x − 20) = 6x + 23.
(a) 33 (b) 32 (c) 34 (d) 31 - Find the area of a rectangle with length 65 cm and breadth 48 cm.
(a) 3,120 sq cm (b) 3,080 sq cm (c) 3,160 sq cm (d) 3,040 sq cm - Two numbers are in the ratio 15:23. If their sum is 456, find the larger number.
(a) 276 (b) 270 (c) 280 (d) 265 - A sum of ₹1,56,000 is divided between A and B such that A's share is 60% more than B's share. Find B's share.
(a) ₹60,000 (b) ₹62,000 (c) ₹58,000 (d) ₹64,000 - Find the average of the first 900 natural numbers.
(a) 450.5 (b) 450 (c) 451 (d) 449.5 - A marked price of ₹27,000 is discounted by 10%. Find the selling price.
(a) ₹24,300 (b) ₹24,000 (c) ₹24,500 (d) ₹23,900 - Find the missing number in the series: 22, 46, 94, 190, ?
(a) 382 (b) 378 (c) 386 (d) 374 - A invests ₹90,000 for 10 months and B invests ₹1,50,000 for 6 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:1 (c) 1:2 (d) 3:2 - A sum becomes six times itself in 60 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 1,764 sq cm.
(a) 168 cm (b) 164 cm (c) 172 cm (d) 160 cm - A train 360 m long crosses a pole in 20 seconds. Find its speed in km/h.
(a) 64.8 km/h (b) 66 km/h (c) 63 km/h (d) 68 km/h - Find the value of x: x² − 23x + 132 = 0 (smaller root).
(a) 11 (b) 12 (c) 10 (d) 13 - A shopkeeper marks an article 70% above cost price and gives a discount of 30%. Find the overall profit percentage.
(a) 19% (b) 20% (c) 17% (d) 22% - Find the average of the first 88 odd natural numbers.
(a) 88 (b) 87 (c) 89 (d) 86 - A sum of ₹60,000 is divided between A and B such that A's share is 100% more than B's share. Find B's share.
(a) ₹20,000 (b) ₹22,000 (c) ₹18,000 (d) ₹24,000 - Two pipes can fill a tank in 12 and 20 minutes respectively. A third pipe can empty it in 30 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 10 minutes (b) 11 minutes (c) 9 minutes (d) 12 minutes - Find the next term: 14, 31, 66, 137, ?
(a) 280 (b) 276 (c) 284 (d) 272 - The ratio of ages of A and B, eight years ago, was 2:3. Their present ages are in the ratio 3:4. Find B's present age.
(a) 32 years (b) 30 years (c) 34 years (d) 28 years - Find the compound interest on ₹30,000 for 3 years at 10% per annum, compounded annually.
(a) ₹9,930 (b) ₹9,000 (c) ₹9,500 (d) ₹10,000 - A sells an article to B at a profit of 25%, and B sells it to C at a profit of 20%. If C pays ₹9,000, 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 20 days and B in 30 days. They work together for 5 days, after which A leaves. In how many more days will B finish the remaining work?
(a) 17.5 days (b) 16 days (c) 18 days (d) 15 days - Find the value of x if 5x + 7(x − 5) = 9x + 10.
(a) 15 (b) 12 (c) 18 (d) 10 - Two vessels contain milk and water in the ratio 4:1 and 3:2 respectively. If 25 litres from the first and 20 litres from the second are mixed, find the ratio of milk to water in the mixture.
(a) 32:13 (b) 3:2 (c) 5:3 (d) 2:1
Answer Key with Explanations
1.(a) A9 sits third to the right of B9 on a seven-seat circle; C9 sits opposite B9; D9 sits immediately to the right of C9. Tracing the seats around, D9 falls immediately to the left of A9.
2.(a) The woman's father's son, given she has only one brother, is that brother; her father's son's son is therefore her brother's son, making the man her nephew.
3.(a) Each term follows ×2+3: 6×2+3=15, 15×2+3=33, 33×2+3=69, 69×2+3=141.
4.(a) Each letter is shifted forward by one position: F→G, L→M, O→P, W→X, E→F, R→S, giving FLOWER → GMPXFS.
5.(a) C8 is fourth from the left; D8 is immediately to its right, so D8 is fifth from the left; with exactly three people between D8 and E8, and E8 at the right end, E8 is ninth from the left.
6.(a) Cobra, Crocodile, and Lizard are all limbed or limbless reptiles without a hard shell; a Turtle has a distinguishing hard shell setting it apart structurally, making it the odd one out.
7.(a) All scholars are readers, and all readers are curious, so by transitivity all scholars are curious.
8.(a) Walking west then turning left (south) then left again (east) traces three sides of a rectangle 20 km by 12 km; the net displacement is 12 km, directly north of the starting point (the two 20 km legs cancel in the east-west direction, and the turns place the person north of the start).
9.(a) The logical order is Booking, Check-in, Security check, Boarding.
10.(a) Each letter is shifted forward by one position: G→H, A→B, R→S, D→E, E→F, N→O, giving GARDEN → HBSEFO.
11.(a) M ≥ N > O and O ≥ P together give M > P, since M is at least as large as N, which is strictly greater than O, which is at least as large as P.
12.(a) Statement I: 15k = 345, so k = 23, a unique value — sufficient alone. Statement II only says k is even, which has many possible values — not sufficient alone.
13.(a) Position from the right = total − position from left + 1 = 96 − 39 + 1 = 58th.
14.(a) The differences between consecutive terms are 13, 27, and 55, each obtained as (previous difference ×2 + 1); the next difference is 55×2+1 = 111, giving 106+111 = 217.
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: J+4=N, N+4=R; N+4=R, R+4=V; R+4=V, V+4=Z; V+4=Z, Z+4=D, giving ZD.
17.(a) All bakeries are shops, and no shop is unlicensed, so no bakery is unlicensed — the conclusion follows validly by transitivity.
18.(a) L2 is eighteen positions above M2, and K2 is directly above L2 (one position above), so K2 is nineteen positions above M2.
19.(a) Each letter is shifted forward by one position: G→H, A→B, R→S, D→E, E→F, N→O, giving GARDEN → HBSEFO.
20.(a) With B directly above A and C two positions above B, the stacking order from bottom is A, B, C, D, E, F — so F is at the very top as the sixth and topmost box.
21.(a) Numbering the eight seats 1 to 8 clockwise with P2 at seat 1: Q2, third to the right, is at seat 4; R2, opposite P2, is at seat 5. Immediately to the right of Q2 (seat 4) is seat 5, which is R2.
22.(a) Rank from bottom = total − rank from top + 1 = 68 − 25 + 1 = 44th.
23.(a) Sedan, Truck, and Van are all motor vehicles with engines; a Bicycle is human-powered, making it the odd one out.
24.(a) Ice's defining property is that it is cold; fire's defining property is that it is hot.
25.(a) A is B's sister, and B is the father of C, so A is C's paternal aunt; D is C's mother, making A the sister-in-law of D (A is the sister of D's husband, B).
26.(a) The first letters move forward by 3 (B, E, H, K, N) and the second letters move back by 3 (Y, V, S, P, M), giving NM.
27.(a) Some tailors are artists, and all artists are creative, so those tailors who are artists are creative — hence some tailors are creative follows validly.
28.(a) Litre, Millilitre, and Kilolitre are all units of volume; Copper is a metal, not a unit of measurement, making it the odd one out.
29.(a) Each letter of TEACHER is shifted forward by 3 positions: T→W, E→H, A→D, C→F, H→K, E→H, R→U, giving the code WHDFKHU; decoding WHDFKHU by shifting each letter back by 3 positions therefore returns TEACHER.
30.(a) Statement I: if m is divisible by 45, it is automatically divisible by 15 (since 15 divides 45) — sufficient alone. Statement II: divisibility by 5 alone does not guarantee divisibility by 15 (e.g., 10 is divisible by 5 but not 15) — not sufficient alone.
31.(a) R4 is fourth from the right; S4 is immediately to its left, so S4 is fifth from the right; with exactly three people between S4 and T4 at the left end, the row must contain 8 people in total for the positions to be consistent.
32.(a) Each term follows ×2+1: 4×2+1=9, 9×2+1=19, 19×2+1=39, 39×2+1=79.
33.(a) Each term follows ×2+3: 7×2+3=17, 17×2+3=37, 37×2+3=77, 77×2+3=157.
34.(a) The woman's mother's only son is the woman's own brother; his daughter is the woman's niece.
35.(a) Cube, Cone, and Cylinder are all solids with flat faces or a mix of flat and curved surfaces; a Sphere has an entirely curved surface with no flat face, making it the odd one out.
36.(a) Simple interest = (48,000×9×5)/100 = ₹21,600.
37.(a) Cost price = 1,380/1.15 = ₹1,200.
38.(a) Total of 36 numbers = 36×62 = 2,232; total of remaining 35 = 35×60 = 2,100; removed number = 2,232−2,100 = 132.
39.(a) The parts total 17+13 = 30; each part = 840/30 = 28; larger share = 17×28 = ₹476.
40.(a) The number = 1,300/0.65 = 2,000.
41.(a) Total distance = 260+240 = 500 km; total time = 4+4 = 8 hours; average speed = 500/8 = 62.5 km/h.
42.(a) Amount = 48,000×(1.05)² = 52,920; compound interest = ₹4,920.
43.(a) Combined fill rate = 1/10+1/30−1/45 = 9/90+3/90−2/90 = 10/90 = 1/9, so together they take 9 minutes.
44.(a) Downstream speed = 18+2 = 20 km/h; time = 100/20 = 5 hours.
45.(a) Each term is multiplied by 4: 5×4=20, 20×4=80, 80×4=320, 320×4=1,280.
46.(a) Profit = 1,020−850 = ₹170; profit percentage = (170/850)×100 = 20%.
47.(a) Let B's present age be x and A's be 2x; six years ago, 2x−6 = 4(x−6), giving 2x−6 = 4x−24, so 2x=18, x=9.
48.(a) 17(x−20)=6x+23 gives 17x−340=6x+23, so 11x=363, x=33.
49.(a) Area = 65×48 = 3,120 sq cm.
50.(a) The parts total 15+23 = 38; each part = 456/38 = 12; larger number = 23×12 = 276.
51.(a) A's share is 1.6 times B's (60% more), giving an 8:5 ratio; each of the 13 parts = 1,56,000/13 = 12,000, so B's share = 5×12,000 = ₹60,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 900 is 901/2 = 450.5.
53.(a) Selling price = 27,000×0.90 = ₹24,300.
54.(a) Each term follows ×2+2: 22×2+2=46, 46×2+2=94, 94×2+2=190, 190×2+2=382.
55.(a) A:B ratio = (90,000×10):(1,50,000×6) = 9,00,000:9,00,000 = 1:1.
56.(a) A sum becoming six times itself means the interest earned equals five times the principal; rate = (5×100)/60 = 25/3% per annum.
57.(a) Side of the square = √1,764 = 42 cm; perimeter = 4×42 = 168 cm.
58.(a) Speed = 360 m / 20 s = 18 m/s = 18×18/5 = 64.8 km/h.
59.(a) x²−23x+132=0 factorises as (x−11)(x−12)=0, giving roots 11 and 12; the smaller root is 11.
60.(a) Marking 70% above cost price and giving a 30% discount gives selling price = CP×1.70×0.70 = 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 88 odd numbers is 88.
62.(a) A's share is 2 times B's (100% more), giving a 2:1 ratio; each of the 3 parts = 60,000/3 = 20,000, so B's share = 1×20,000 = ₹20,000.
63.(a) Combined fill rate = 1/12+1/20−1/30 = 5/60+3/60−2/60 = 6/60 = 1/10, so together they take 10 minutes.
64.(a) The differences between consecutive terms are 17, 35, and 71, each obtained as (previous difference ×2 + 1); the next difference is 71×2+1 = 143, giving 137+143 = 280.
65.(a) Let A's age eight years ago be 2k and B's be 3k; their present ages are 2k+8 and 3k+8, in the ratio 3:4, giving 4(2k+8)=3(3k+8), so 8k+32=9k+24, k=8; B's present age = 3(8)+8 = 32 years.
66.(a) Amount = 30,000×(1.10)³ = 39,930; compound interest = ₹9,930.
67.(a) Let A's cost be y; B pays y×1.25, and C pays y×1.25×1.20 = 1.5y = 9,000, so y = ₹6,000.
68.(a) Combined rate = 1/20+1/30 = 3/60+2/60 = 5/60 = 1/12 of the work per day; in 5 days, they complete 5/12 of the work, leaving 7/12 of the work; B alone, at a rate of 1/30 per day, takes (7/12)×30 = 17.5 days to finish the remaining work.
69.(a) The left side, 5x+7(x−5), simplifies to 12x−35; the right side is 9x+10; equating gives 12x−35 = 9x+10, so 3x = 45, x = 15.
70.(a) First vessel: 25 litres in ratio 4:1 gives milk = 20, water = 5; second vessel: 20 litres in ratio 3:2 gives milk = 12, water = 8; total milk = 32, total water = 13, giving the ratio 32:13.