Mock Test 17 — 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. P5 sits third to the right of Q5. R5 sits opposite Q5. S5 sits immediately to the left of R5. Where does S5 sit relative to P5?
(a) Second to the left (b) Third to the right (c) Opposite P5 (d) Immediately right - Pointing to a girl, a woman said, "She is the daughter of my mother's only son." How is the girl related to the woman?
(a) Niece (b) Daughter (c) Sister (d) Cousin - Find the next term: 7, 16, 34, 70, ?
(a) 142 (b) 138 (c) 146 (d) 134 - If in a code, MOUSE is coded as NPVTF, how is MONITOR coded using the same rule?
(a) NPOJUPS (b) NPOJUPT (c) NPOJVPS (d) MPOJUPS - Eight people sit in a row facing north. T7 is sixth from the left. U7 sits immediately to the right of T7. V7 sits at the right end. There is exactly one person between U7 and V7.
(a) T7 is sixth from the left, U7 is seventh, V7 is ninth (b) V7 is eighth from the left (c) U7 is eighth from the left (d) T7 is seventh from the left - Choose the odd one out.
(a) Penguin (b) Sparrow (c) Eagle (d) Falcon - Premises: "All editors are writers. All writers are disciplined." Which conclusion follows?
(a) All editors are disciplined (b) All disciplined people are editors (c) No editors are disciplined (d) Some writers are not editors - A walks 24 km east, turns right and walks 15 km, then turns right again and walks 24 km. How far is he from the start, and in which direction?
(a) 15 km south of start (b) 24 km (c) 39 km (d) 30 km - Arrange in a logical sequence: 1. Interview 2. Application 3. Shortlisting 4. Appointment
(a) 2-3-1-4 (b) 1-2-3-4 (c) 2-1-3-4 (d) 4-3-2-1 - If in a code, MOUSE is written as NPVTF, how is TIGER written?
(a) UJHFS (b) UJHFT (c) UJHES (d) TJHFS - 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 h?" Statement I: 17h − 34 = 187. Statement II: h is a prime 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 120 people, Meera is 48th from the left. What is her position from the right?
(a) 73rd (b) 72nd (c) 74th (d) 71st - Find the missing number: 15, 32, 67, 138, ?
(a) 281 (b) 279 (c) 283 (d) 277 - 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: MS, QW, UA, YE, ?
(a) CI (b) CH (c) BI (d) DH - Statement: All harbours are ports. No port is unregulated. Conclusion: No harbour is unregulated.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 18 crates (crate 1 at the bottom), crate H5 is directly above crate I5, and I5 is fourteen positions above crate J5. How many positions separate H5 and J5?
(a) 15 (b) 14 (c) 16 (d) 13 - If in a code, TRAIN is written as USBJO, how is BRIDGE written using the same rule?
(a) CSJEHF (b) CSJEHG (c) CSJDHF (d) BSJEHF - Five boxes P, Q, R, S, T are stacked with P at the bottom and T at the top; Q is directly above P; R is two positions above Q. Which box is at the very top?
(a) T (b) S (c) R (d) Q - Eight friends sit around a circular table facing outward. L6 occupies one seat; K6 sits second to the right of L6; M6 sits opposite L6; N6 sits immediately to the left of M6. Who sits second to the left of K6?
(a) L6 (b) M6 (c) N6 (d) Cannot be determined - In a class of 55 students, Farhan ranks 21st from the top. What is his rank from the bottom?
(a) 35th (b) 34th (c) 36th (d) 33rd - Choose the odd one out.
(a) Novel (b) Sonnet (c) Ballad (d) Elegy - Complete the analogy: Knife : Sharp :: Sponge : ?
(a) Absorbent (b) Hard (c) Heavy (d) Smooth - A is the brother of B. B is the mother of C. D is the father of C. How is A related to D?
(a) Brother-in-law (b) Father (c) Uncle (d) Cousin - Find the missing letter-group: AZ, DY, GX, JW, ?
(a) MV (b) MU (c) NV (d) LV - Statement: Some coaches are mentors. All mentors are patient. Conclusion: Some coaches are patient.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - Choose the odd one out.
(a) Kilogram (b) Metre (c) Kilometre (d) Centimetre - If in a code, KEYBOARD is written with each letter shifted forward by 2 positions in the alphabet, what does MGADQCTF decode to?
(a) KEYBOARD (b) KEYBOARE (c) LEYBOARD (d) KEYBOART - Data Sufficiency: "Is n divisible by 12?" Statement I: n is divisible by 24. Statement II: n is divisible by 3.
(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 - Seven friends sit in a row facing south. W3 is third from the right. X3 sits immediately to the left of W3. Y3 sits at the left end with exactly two people between X3 and Y3. How many people sit in the row?
(a) 7 (b) 6 (c) 8 (d) 5 - Find the next term: 5, 11, 23, 47, ?
(a) 95 (b) 93 (c) 97 (d) 91 - Find the missing term: 9, 21, 45, 93, ?
(a) 189 (b) 187 (c) 191 (d) 185 - Pointing to a photograph, a man said, "The person in this photograph is my father's only daughter's son." How is the person related to the man?
(a) Nephew (b) Son (c) Brother (d) Cousin - Choose the odd one out.
(a) Sphere (b) Triangle (c) Square (d) Pentagon
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹62,000 at 11% per annum for 4 years.
(a) ₹27,280 (b) ₹26,500 (c) ₹27,000 (d) ₹27,600 - An article is sold for ₹1,656 after a markup of 15% on cost price. Find the cost price.
(a) ₹1,440 (b) ₹1,400 (c) ₹1,460 (d) ₹1,420 - The average of 42 numbers is 55. If one number is removed, the average of the remaining 41 numbers becomes 54. Find the removed number.
(a) 96 (b) 94 (c) 98 (d) 92 - Divide ₹720 between two people in the ratio 13:11. Find the larger share.
(a) ₹390 (b) ₹385 (c) ₹395 (d) ₹380 - 55% of a number is 1,100. Find the number.
(a) 2,000 (b) 1,900 (c) 2,050 (d) 1,950 - A car travels 360 km at 60 km/h and then 280 km at 70 km/h. Find its average speed for the whole journey.
(a) 64 km/h (b) 65 km/h (c) 63 km/h (d) 66 km/h - Find the compound interest on ₹62,000 for 2 years at 10% per annum, compounded annually.
(a) ₹13,020 (b) ₹12,900 (c) ₹13,100 (d) ₹12,800 - Two taps can fill a tank in 15 and 20 minutes respectively. If both are opened together, how long will they take to fill the tank?
(a) 60/7 minutes (b) 8 minutes (c) 9 minutes (d) 35/4 minutes - A boat's speed in still water is 15 km/h and the stream's speed is 3 km/h. Find the time to travel 108 km upstream.
(a) 9 hours (b) 8 hours (c) 10 hours (d) 7.5 hours - Find the next term in the series: 6, 24, 96, 384, ?
(a) 1,536 (b) 1,500 (c) 1,568 (d) 1,450 - An article with cost price ₹640 is sold for ₹880. Find the profit percentage.
(a) 37.5% (b) 35% (c) 40% (d) 38% - A's present age is twice B's present age. Nine years ago, A's age was five times B's age. Find B's present age.
(a) 12 years (b) 10 years (c) 14 years (d) 8 years - Solve for x: 13(x − 7) = 10x + 5.
(a) 32 (b) 31 (c) 33 (d) 30 - Find the area of a rectangle with length 72 cm and breadth 45 cm.
(a) 3,240 sq cm (b) 3,200 sq cm (c) 3,280 sq cm (d) 3,180 sq cm - Two numbers are in the ratio 18:25. If their sum is 645, find the larger number.
(a) 375 (b) 370 (c) 380 (d) 365 - A sum of ₹1,08,000 is divided between A and B such that A's share is 70% 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 600 natural numbers.
(a) 300.5 (b) 300 (c) 301 (d) 299.5 - A marked price of ₹18,000 is discounted by 20%. Find the selling price.
(a) ₹14,400 (b) ₹14,000 (c) ₹14,500 (d) ₹13,900 - Find the missing number in the series: 30, 62, 126, 254, ?
(a) 510 (b) 505 (c) 515 (d) 500 - A invests ₹1,80,000 for 8 months and B invests ₹1,20,000 for 6 months. Find the ratio of their profit shares.
(a) 2:1 (b) 1:2 (c) 3:2 (d) 2:3 - A sum becomes eight times itself in 63 years at simple interest. Find the rate of interest per annum.
(a) 100/9% (b) 12% (c) 10% (d) 14% - Find the perimeter of a square with area 2,025 sq cm.
(a) 180 cm (b) 176 cm (c) 184 cm (d) 172 cm - A train 450 m long crosses a pole in 18 seconds. Find its speed in km/h.
(a) 90 km/h (b) 88 km/h (c) 92 km/h (d) 85 km/h - Find the value of x: x² − 27x + 176 = 0 (smaller root).
(a) 11 (b) 16 (c) 10 (d) 17 - A shopkeeper marks an article 80% above cost price and gives a discount of 40%. Find the overall profit percentage.
(a) 8% (b) 10% (c) 5% (d) 12% - Find the average of the first 121 odd natural numbers.
(a) 121 (b) 120 (c) 122 (d) 119 - A sum of ₹60,000 is divided between A and B such that A's share is 175% more than B's share. Find B's share.
(a) ₹16,000 (b) ₹18,000 (c) ₹15,000 (d) ₹20,000 - Two pipes can fill a tank in 12 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) 8 minutes (b) 9 minutes (c) 7 minutes (d) 10 minutes - Find the next term: 18, 39, 82, 169, ?
(a) 344 (b) 340 (c) 348 (d) 336 - The ratio of ages of A and B, ten years ago, was 3:4. Their present ages are in the ratio 4:5. Find A's present age.
(a) 40 years (b) 38 years (c) 42 years (d) 36 years - Find the compound interest on ₹40,000 for 3 years at 5% per annum, compounded annually.
(a) ₹6,305 (b) ₹6,000 (c) ₹6,200 (d) ₹6,400 - A sells an article to B at a profit of 20%, and B sells it to C at a profit of 25%. 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 24 days and B in 36 days. They work together for 8 days, after which A leaves. In how many more days will B finish the remaining work?
(a) 16 days (b) 18 days (c) 22 days (d) 20 days - Find the value of x if 5x + 3(x − 4) = 8x − 12 + x.
(a) x = 0 (b) No solution (all values satisfy) (c) x = 12 (d) x = 4 - Two vessels contain milk and water in the ratio 3:2 and 5:3 respectively. If 20 litres from the first and 24 litres from the second are mixed, find the ratio of milk to water in the mixture.
(a) 27:17 (b) 3:2 (c) 5:3 (d) 2:1
Answer Key with Explanations
1.(a) K sits third to the right of Q on a six-seat circle, so they are three seats apart in each direction (both directions give the same separation on six seats); R sits opposite Q; S sits immediately left of R. Tracing the seats around, S falls second to the left of P.
2.(a) The woman's mother's only son is the woman's own brother, since the woman herself is female; her brother's daughter is therefore the woman's niece.
3.(a) Each term follows ×2+2: 7×2+2=16, 16×2+2=34, 34×2+2=70, 70×2+2=142.
4.(a) Each letter is shifted forward by one position: M→N, O→P, N→O, I→J, T→U, O→P, R→S, giving MONITOR → NPOJUPS.
5.(a) T7 is sixth from the left; U7 is immediately to its right, so U7 is seventh from the left; with exactly one person between U7 and V7, and V7 at the right end, V7 is ninth from the left.
6.(a) Sparrow, Eagle, and Falcon are all flying birds; a Penguin cannot fly, making it the odd one out.
7.(a) All editors are writers, and all writers are disciplined, so by transitivity all editors are disciplined.
8.(a) Walking east then turning right (south) then right again (west) traces three sides of a rectangle 24 km by 15 km; the net displacement is 15 km, directly south of the starting point (the two 24 km legs cancel in the east-west direction).
9.(a) The logical order is Application, Shortlisting, Interview, Appointment.
10.(a) Each letter is shifted forward by one position: T→U, I→J, G→H, E→F, R→S, giving TIGER → UJHFS.
11.(a) P > Q ≥ R and R > S together give P > S, since P is strictly greater than something at least as large as R, and R is strictly greater than S.
12.(a) Statement I: 17h = 221, so h = 13, a unique value — sufficient alone. Statement II only says h is prime, which has many possible values — not sufficient alone.
13.(a) Position from the right = total − position from left + 1 = 120 − 48 + 1 = 73rd.
14.(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 138+143 = 281.
15.(a) C is B's daughter and D is C's husband, so E (child of C and D) is the grandchild of B through the daughter's line, same generation as A's children; A, being B's son, is E's maternal uncle.
16.(a) Each letter pair shifts forward by 4 then 4 again alternating pattern: M+4=Q, S+4=W; Q+4=U, W+4=A; U+4=Y, A+4=E; Y+4=C, E+4=I, giving CI.
17.(a) All harbours are ports, and no port is unregulated, so no harbour is unregulated — the conclusion follows validly by transitivity.
18.(a) I5 is fourteen positions above J5, and H5 is directly above I5 (one position above), so H5 is fifteen positions above J5.
19.(a) Each letter is shifted forward by one position: B→C, R→S, I→J, D→E, G→H, E→F, giving BRIDGE → CSJEHF.
20.(a) With Q directly above P and R two positions above Q, the stacking order from bottom is P, Q, R, S, T — so T is at the very top as the fifth and topmost box.
21.(a) Numbering the eight seats 1 to 8 clockwise with L6 at seat 1: K6, second to the right, is at seat 3; M6, opposite L6, is at seat 5; N6, immediately left of M6, is at seat 4. Second to the left of K6 (seat 3) is seat 1, which is L6.
22.(a) Rank from bottom = total − rank from top + 1 = 55 − 21 + 1 = 35th.
23.(a) Sonnet, Ballad, and Elegy are all forms of poetry; a Novel is prose fiction, making it the odd one out.
24.(a) A knife's defining property is that it is sharp; a sponge's defining property is that it is absorbent.
25.(a) A is B's brother, and B is the mother of C, so A is C's maternal uncle; D is C's father, making A the brother-in-law of D (A is the brother of D's wife, B).
26.(a) The first letters move forward by 3 (A, D, G, J, M) and the second letters move back by 1 (Z, Y, X, W, V), giving MV.
27.(a) Some coaches are mentors, and all mentors are patient, so those coaches who are mentors are patient — hence some coaches are patient follows validly.
28.(a) Metre, Kilometre, and Centimetre are all units of length; Kilogram is a unit of mass, making it the odd one out.
29.(a) Each letter of KEYBOARD is shifted forward by 2 positions: K→M, E→G, Y→A, B→D, O→Q, A→C, R→T, D→F, giving the code MGADQCTF; decoding MGADQCTF by shifting each letter back by 2 positions therefore returns KEYBOARD.
30.(a) Statement I: if n is divisible by 24, it is automatically divisible by 12 (since 12 divides 24) — sufficient alone. Statement II: divisibility by 3 alone does not guarantee divisibility by 12 (e.g., 9 is divisible by 3 but not 12) — not sufficient alone.
31.(a) W3 is third from the right; X3 is immediately to its left, so X3 is fourth from the right; with exactly two people between X3 and Y3 at the left end, counting from X3's position (fourth from right) across two people to Y3 at the left end in a row of 7 gives a consistent total of 7 people.
32.(a) Each term follows ×2+1: 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.
33.(a) Each term follows ×2+3: 9×2+3=21, 21×2+3=45, 45×2+3=93, 93×2+3=189.
34.(a) The man's father's only daughter is the man's own sister; her son is the man's nephew.
35.(a) Triangle, Square, and Pentagon are all two-dimensional plane figures; a Sphere is a three-dimensional solid, making it the odd one out.
36.(a) Simple interest = (62,000×11×4)/100 = ₹27,280.
37.(a) Cost price = 1,656/1.15 = ₹1,440.
38.(a) Total of 42 numbers = 42×55 = 2,310; total of remaining 41 = 41×54 = 2,214; removed number = 2,310−2,214 = 96.
39.(a) The parts total 13+11 = 24; each part = 720/24 = 30; larger share = 13×30 = ₹390.
40.(a) The number = 1,100/0.55 = 2,000.
41.(a) Total distance = 360+280 = 640 km; total time = 6+4 = 10 hours; average speed = 640/10 = 64 km/h.
42.(a) Amount = 62,000×(1.10)² = 75,020; compound interest = ₹13,020.
43.(a) Combined rate = 1/15+1/20 = 4/60+3/60 = 7/60, so together they take 60/7 minutes.
44.(a) Upstream speed = 15−3 = 12 km/h; time = 108/12 = 9 hours.
45.(a) Each term is multiplied by 4: 6×4=24, 24×4=96, 96×4=384, 384×4=1,536.
46.(a) Profit = 880−640 = ₹240; profit percentage = (240/640)×100 = 37.5%.
47.(a) Let B's present age be x and A's be 2x; nine years ago, 2x−9 = 5(x−9), giving 2x−9 = 5x−45, so 3x=36, x=12.
48.(a) 13(x−7)=10x+5 gives 13x−91=10x+5, so 3x=96, x=32.
49.(a) Area = 72×45 = 3,240 sq cm.
50.(a) The parts total 18+25 = 43; each part = 645/43 = 15; larger number = 25×15 = 375.
51.(a) A's share is 1.7 times B's (70% more), giving a 17:10 ratio; each of the 27 parts = 1,08,000/27 = 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 600 is 601/2 = 300.5.
53.(a) Selling price = 18,000×0.80 = ₹14,400.
54.(a) Each term follows ×2+2: 30×2+2=62, 62×2+2=126, 126×2+2=254, 254×2+2=510.
55.(a) A:B ratio = (1,80,000×8):(1,20,000×6) = 14,40,000:7,20,000 = 2:1.
56.(a) A sum becoming eight times itself means the interest earned equals seven times the principal; rate = (7×100)/63 = 100/9% per annum.
57.(a) Side of the square = √2,025 = 45 cm; perimeter = 4×45 = 180 cm.
58.(a) Speed = 450 m / 18 s = 25 m/s = 25×18/5 = 90 km/h.
59.(a) x²−27x+176=0 factorises as (x−11)(x−16)=0, giving roots 11 and 16; the smaller root is 11.
60.(a) Marking 80% above cost price and giving a 40% discount gives selling price = CP×1.80×0.60 = 1.08×CP, a net profit of 8%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 121 odd numbers is 121.
62.(a) A's share is 2.75 times B's (175% more), giving an 11:4 ratio; each of the 15 parts = 60,000/15 = 4,000, so B's share = 4×4,000 = ₹16,000.
63.(a) Combined fill rate = 1/12+1/15−1/40 = 10/120+8/120−3/120 = 15/120 = 1/8, so together they take 8 minutes.
64.(a) The differences between consecutive terms are 21, 43, and 87, each obtained as (previous difference ×2 + 1); the next difference is 87×2+1 = 175, giving 169+175 = 344.
65.(a) Let A's age ten years ago be 3k and B's be 4k; their present ages are 3k+10 and 4k+10, in the ratio 4:5, giving 5(3k+10)=4(4k+10), so 15k+50=16k+40, k=10; A's present age = 3(10)+10 = 40 years.
66.(a) Amount = 40,000×(1.05)³ = 46,305; compound interest = ₹6,305.
67.(a) Let A's cost be y; B pays y×1.20, and C pays y×1.20×1.25 = 1.5y = 9,000, so y = ₹6,000.
68.(a) Combined rate = 1/24+1/36 = 3/72+2/72 = 5/72 of the work per day; in 8 days, they complete 8×5/72 = 40/72 = 5/9 of the work, leaving 4/9 of the work; B alone, at a rate of 1/36 per day, takes (4/9)×36 = 16 days to finish the remaining work.
69.(a) The left side, 5x+3(x−4), simplifies to 8x−12; the right side, 8x−12+x, simplifies to 9x−12; equating gives 8x−12 = 9x−12, so 8x = 9x, meaning x = 0 is the unique solution.
70.(a) First vessel: 20 litres in ratio 3:2 gives milk = 12, water = 8; second vessel: 24 litres in ratio 5:3 gives milk = 15, water = 9; total milk = 27, total water = 17, giving the ratio 27:17.