Mock Test 10 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)
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Section A: Reasoning Ability (Q1–35)
- Eight people sit around a circular table facing the centre. T sits second to the left of U. V sits opposite U. W sits immediately to the right of V. Where does W sit relative to T?
(a) Second to the right (b) Second to the left (c) Opposite T (d) Immediately left - Pointing to a man, a woman said, "He is the brother of my mother's only son-in-law's wife." How is the man related to the woman?
(a) Brother (b) Father (c) Uncle (d) Cousin - Find the next term: 4, 11, 25, 53, ?
(a) 109 (b) 106 (c) 112 (d) 103 - If in a code, DOCTOR is coded as EPDUPS, how is TEACHER coded using the same rule?
(a) UFBDIFS (b) UFBDIFR (c) UFBDHFS (d) TFBDIFS - Seven people sit in a row facing south. Q is fourth from the left. R sits immediately to the right of Q. S sits at the right end. There is exactly one person between R and S.
(a) R is fifth from the left (b) R is sixth from the left (c) R is fourth from the left (d) R is seventh from the left - Choose the odd one out.
(a) Delhi (b) Mumbai (c) Chennai (d) Ganga - Premises: "All directors are executives. All executives are decision-makers." Which conclusion follows?
(a) All directors are decision-makers (b) All decision-makers are directors (c) No directors are decision-makers (d) Some executives are not directors - A walks 14 km north, turns left and walks 20 km, then turns left again and walks 14 km. How far is he from the start?
(a) 20 km (b) 14 km (c) 28 km (d) 34 km - Arrange in a logical sequence: 1. Verification 2. Application submission 3. Approval 4. Disbursement
(a) 2-1-3-4 (b) 1-2-3-4 (c) 2-3-1-4 (d) 2-1-4-3 - If in a code, MUMBAI is written as NVNCBJ, how is KOLKATA written?
(a) LPMLBUB (b) LPMLBUA (c) LPMLBTB (d) KPMLBUB - 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 w?" Statement I: 11w − 22 = 99. Statement II: w 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 90 people, Naina is 38th from the left. What is her position from the right?
(a) 53rd (b) 52nd (c) 54th (d) 51st - Find the missing number: 12, 25, 52, 107, ?
(a) 218 (b) 216 (c) 220 (d) 214 - A is the son of B. C is the daughter of B. D is the husband of C. E is the daughter of D. How is A related to E?
(a) Uncle (b) Father (c) Brother (d) Cousin - Complete the series: HL, LP, PT, TX, ?
(a) XB (b) XA (c) YB (d) WB - Statement: All silos are storage facilities. No storage facility is publicly toured. Conclusion: No silo is publicly toured.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 14 boxes (box 1 at the bottom), box M is directly above box N, and N is ten positions above box O. How many positions separate M and O?
(a) 11 (b) 10 (c) 12 (d) 9 - If each letter is shifted forward by nine positions, CAT becomes LJC. Using the same rule, DOG becomes:
(a) MXP (b) MXO (c) LXP (d) MYP - A runner finishes 27th from the last in a race of 70 runners. Find the rank from the first.
(a) 44th (b) 43rd (c) 45th (d) 42nd - Six people sit around a circular table facing the centre. Y sits opposite Z. A1 sits immediately to the right of Y. Where does A1 sit relative to Z?
(a) Second to the left of Z (b) Second to the right of Z (c) Opposite Z (d) Immediately left of Z - Premises: "Some traders are exporters. All exporters are licensed." Which conclusion follows?
(a) Some traders are licensed (b) All traders are licensed (c) No traders are licensed (d) All licensed entities are traders - P is the father of Q. R is the son of Q. S is the wife of R. How is P related to S?
(a) Grandfather-in-law (b) Father (c) Uncle (d) Grandfather - Find the odd pair: (11,33), (12,36), (13,42), (14,42)
(a) (13,42) (b) (11,33) (c) (12,36) (d) (14,42) - In a code language, "quarterly financial performance summary" is coded as "du re fa mo", "financial for auditors" is coded as "re ni ta", and "performance for growth" is coded as "fa ni ra". What is the code for "performance"?
(a) fa (b) du (c) re (d) mo - 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 - In a floor puzzle of 23 floors (ground=1, top=23), a person exactly midway between floor 13 and floor 23 lives on floor:
(a) 18 (b) 17 (c) 19 (d) 18.5 - Choose the odd one out.
(a) Delhi (b) Kolkata (c) Chennai (d) Yamuna - If in a code, DOCTOR is coded as FQEVQT (shift forward by 2), how is TEACHER coded?
(a) VGCEJGT (b) VGCEJGS (c) VGCDJGT (d) UGCEJGT - In a line of 75 people, Kavya is 34th from the left. How many people are to her right?
(a) 41 (b) 40 (c) 42 (d) 39 - Statement: All silos are storage facilities. Some storage facilities are climate-controlled. Conclusion I: Some silos are climate-controlled. Conclusion II: All storage facilities are silos. Which follows?
(a) Neither I nor II follows (b) Only I follows (c) Only II follows (d) Both follow - P is the mother of Q. Q is the brother of R. R is the wife of S. S is the father of T. How is P related to T?
(a) Grandmother (b) Mother (c) Aunt (d) Sister - Find the next term: 6, 18, 54, 162, ?
(a) 486 (b) 480 (c) 490 (d) 476 - In a row of 23 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 11 (b) 12 (c) 10 (d) 11.5 - Data Sufficiency: "Is z divisible by 20?" Statement I: z is divisible by 40. Statement II: z is divisible by 5. 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
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹28,000 at 6% per annum for 5 years.
(a) ₹8,400 (b) ₹8,200 (c) ₹8,600 (d) ₹8,000 - A shopkeeper sells an article for ₹954 at a profit of 6%. Find the cost price.
(a) ₹900 (b) ₹890 (c) ₹910 (d) ₹880 - The average of 24 numbers is 36. If one number is removed, the average becomes 34 for the remaining 23. Find the removed number.
(a) 82 (b) 80 (c) 84 (d) 78 - A sum of ₹504 is divided in the ratio 9:5. Find the larger part.
(a) ₹324 (b) ₹315 (c) ₹330 (d) ₹310 - 28% of a number is 560. Find the number.
(a) 2,000 (b) 1,980 (c) 2,020 (d) 1,960 - A car travels 300 km in 6 hours and then 260 km in 4 hours. Find the average speed for the whole journey.
(a) 56 km/h (b) 54 km/h (c) 58 km/h (d) 50 km/h - Find the compound interest on ₹28,000 for 2 years at 10% per annum, compounded annually.
(a) ₹5,880 (b) ₹5,700 (c) ₹6,000 (d) ₹5,500 - Pipe A can fill a tank in 12 minutes and pipe B in 20 minutes. If both are opened together, how long will they take to fill the tank?
(a) 7.5 minutes (b) 8 minutes (c) 7 minutes (d) 9 minutes - A boat's speed in still water is 21 km/h and the stream flows at 14 km/h. Find the time to cover 140 km downstream.
(a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours - Find the next term in the series: 6, 18, 54, 162, ?
(a) 486 (b) 480 (c) 490 (d) 476 - An article with cost price ₹480 is sold for ₹720. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is thrice as old as B. Nine years ago, A was five times as old as B. Find B's present age.
(a) 18 years (b) 16 years (c) 20 years (d) 15 years - Solve for x: 15(x − 10) = 8x + 25.
(a) 25 (b) 24 (c) 26 (d) 23 - Find the area of a rectangle with length 48 cm and breadth 30 cm.
(a) 1,440 sq cm (b) 1,420 sq cm (c) 1,460 sq cm (d) 1,400 sq cm - Two numbers are in the ratio 10:17. If their sum is 270, find the larger number.
(a) 170 (b) 165 (c) 175 (d) 160 - A sum of ₹1,36,000 is divided between A and B such that A's share is 140% 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 240 natural numbers.
(a) 120.5 (b) 120 (c) 121 (d) 119.5 - A marked price of ₹10,800 is discounted by 15%. Find the selling price.
(a) ₹9,180 (b) ₹9,000 (c) ₹9,250 (d) ₹8,950 - Find the missing number in the series: 26, 54, 110, 222, ?
(a) 446 (b) 442 (c) 450 (d) 438 - A invests ₹1,20,000 for 7 months and B invests ₹1,40,000 for 6 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum becomes eight times itself in 56 years at simple interest. Find the rate of interest per annum.
(a) 12.5% (b) 10% (c) 15% (d) 8% - Find the perimeter of a square with area 576 sq cm.
(a) 96 cm (b) 92 cm (c) 100 cm (d) 88 cm - A train 330 m long crosses a pole in 15 seconds. Find its speed in km/h.
(a) 79.2 km/h (b) 75 km/h (c) 80 km/h (d) 72 km/h - Find the value of x: x² − 21x + 110 = 0 (smaller root).
(a) 10 (b) 11 (c) 9 (d) 12 - A shopkeeper marks an article 30% above cost price and gives a discount of 15%. Find the overall profit percentage.
(a) 10.5% (b) 12% (c) 9% (d) 15% - Find the average of the first 95 odd natural numbers.
(a) 95 (b) 94 (c) 96 (d) 93 - A sum of ₹1,40,000 is divided between A and B such that A's share is 500% 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 15 and 25 minutes respectively. A third pipe can empty it in 50 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 750/71 minutes ≈ 10.6 minutes (b) 12 minutes (c) 9 minutes (d) 14 minutes - Find the next term: 13, 28, 58, 118, ?
(a) 238 (b) 236 (c) 240 (d) 234 - A's income is 175% more than B's income. By what percentage is B's income less than A's income?
(a) 63.6% (b) 60% (c) 65% (d) 58% - Find the compound interest on ₹1,00,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹10,250 (b) ₹10,000 (c) ₹10,500 (d) ₹9,800 - A works nine times as fast as B. If B alone completes a task in 80 days, in how many days can A and B together complete it?
(a) 8 days (b) 9 days (c) 10 days (d) 7 days - Find the value of: 50% of 180 + 25% of 240.
(a) 150 (b) 145 (c) 155 (d) 140 - A sum of ₹1,50,000 is lent at 4% per annum simple interest. Find the amount after 5 years.
(a) ₹1,80,000 (b) ₹1,78,000 (c) ₹1,82,000 (d) ₹1,75,000 - Find the next term: 4, 11, 25, 53, 109, ?
(a) 221 (b) 218 (c) 224 (d) 215
Answer Key with Explanations
1.(a) Placing U, then T two seats to U's left, V opposite U, and W immediately right of V fixes W two seats to the right of T when traced around the circle.
2.(a) The woman's mother's only son-in-law is the woman's own husband (since the mother's only daughter, the woman herself, is married to him), so his wife is the woman herself; the man being her brother makes him the woman's brother.
3.(a) Each term follows ×2+3: 4×2+3=11, 11×2+3=25, 25×2+3=53, 53×2+3=109.
4.(a) Each letter shifts forward by one position: T→U, E→F, A→B, C→D, H→I, E→F, R→S.
5.(a) With Q fourth from the left and R immediately to Q's right, R sits fifth from the left.
6.(a) Delhi, Mumbai, and Chennai are cities, while the Ganga is a river.
7.(a) All directors are executives, and all executives are decision-makers, so all directors are decision-makers follows validly.
8.(a) The northward and southward legs (14 km each) cancel out, leaving only the 20 km eastward displacement.
9.(a) The natural sequence is: application submission, verification, approval, and disbursement.
10.(a) Each letter shifts forward by one position: K→L, O→P, L→M, K→L, A→B, T→U, A→B.
11.(a) A>B≥C gives A>C (one strict link); C≥D then gives A>D.
12.(a) Statement I gives 11w=121, so w=11, a single definite value; Statement II alone only narrows w to prime numbers, not a unique value.
13.(a) Position from the right = 90−38+1 = 53rd.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 12×2+1=25, 25×2+2=52, 52×2+3=107, 107×2+4=218.
15.(a) A and C are B's children (siblings); D is C's husband and E is D's daughter (C's child too), making A and E cousins.
16.(a) Each pair's first letter advances by four (H, L, P, T, X) and the second letter advances by four (L, P, T, X, B, wrapping past Z), giving XB.
17.(a) All silos are storage facilities, and no storage facility is publicly toured, so no silo is publicly toured follows validly.
18.(a) M is one position above N, and N is ten positions above O, so M is 1+10=11 positions above O.
19.(a) Each letter shifts forward by nine positions: D→M, O→X, G→P.
20.(a) Rank from the first = 70−27+1 = 44th.
21.(a) With Y and Z opposite in a 6-seat circle (3 seats apart) and A1 immediately to Y's right, A1 ends up two seats to the left of Z.
22.(a) Some traders are exporters, and all exporters are licensed, so some traders are licensed follows validly.
23.(a) P is Q's father, R is Q's son (P's grandson), and S is R's wife, making P a grandfather-in-law to S.
24.(a) In each pair the second number is three times the first except (13,42), since 13×3=39, not 42.
25.(a) "performance" is common to "quarterly financial performance summary" and "performance for growth"; comparing with "financial for auditors" isolates "fa" as the code for "performance".
26.(a) M≥N>O gives M>O (one strict link); O≥P then gives M>P.
27.(a) Midway between floor 13 and floor 23 is (13+23)/2 = 18.
28.(a) Delhi, Kolkata, and Chennai are cities, while the Yamuna is a river.
29.(a) Each letter shifts forward by two positions: T→V, E→G, A→C, C→E, H→J, E→G, R→T.
30.(a) People to Kavya's right = 75−34 = 41.
31.(a) The premises do not guarantee any silo is climate-controlled, and clearly not all storage facilities are silos, so neither conclusion follows.
32.(a) Q and R are P's children; R is S's wife and S is T's father, so R is T's mother, making P (R's mother) T's grandmother.
33.(a) Each term is multiplied by 3: 6×3=18, 18×3=54, 54×3=162, 162×3=486.
34.(a) In a row of 23 with one person exactly in the middle (12th position), 11 people sit on each side.
35.(a) Statement I alone (divisible by 40) guarantees divisibility by 20, since 40 is itself a multiple of 20; Statement II alone (divisible by 5) does not guarantee divisibility by 20.
36.(a) Simple interest = (28,000×6×5)/100 = ₹8,400.
37.(a) Cost price = 954/1.06 = ₹900.
38.(a) Total of 24 numbers = 24×36 = 864; total of remaining 23 = 23×34 = 782; removed number = 864−782 = 82.
39.(a) The parts total 9+5 = 14; each part = 504/14 = 36; larger part = 9×36 = ₹324.
40.(a) The number = 560/0.28 = 2,000.
41.(a) Total distance = 300+260 = 560 km; total time = 6+4 = 10 hours; average speed = 560/10 = 56 km/h.
42.(a) Amount = 28,000×(1.10)² = 33,880; compound interest = ₹5,880.
43.(a) Combined rate = 1/12+1/20 = 5/60+3/60 = 8/60 = 2/15, so together they take 15/2 = 7.5 minutes.
44.(a) Downstream speed = 21+14 = 35 km/h; time = 140/35 = 4 hours.
45.(a) Each term is multiplied by 3: 6×3=18, 18×3=54, 54×3=162, 162×3=486.
46.(a) Profit = 720−480 = ₹240; profit percentage = (240/480)×100 = 50%.
47.(a) Let B's present age be x and A's be 3x; nine years ago, 3x−9 = 5(x−9), giving 3x−9 = 5x−45, so 2x=36, x=18.
48.(a) 15(x−10)=8x+25 gives 15x−150=8x+25, so 7x=175, x=25.
49.(a) Area = 48×30 = 1,440 sq cm.
50.(a) The parts total 10+17 = 27; each part = 270/27 = 10; larger number = 17×10 = 170.
51.(a) A's share is 2.4 times B's (140% more), giving a 12:5 ratio; each of the 17 parts = 1,36,000/17 = 8,000, so B's share = 5×8,000 = ₹40,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 240 is 241/2 = 120.5.
53.(a) Selling price = 10,800×0.85 = ₹9,180.
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 = (1,20,000×7):(1,40,000×6) = 8,40,000:8,40,000 = 1:1.
56.(a) A sum becoming eight times itself means the interest earned equals seven times the principal; rate = (7×100)/56 = 12.5% per annum.
57.(a) Side of the square = √576 = 24 cm; perimeter = 4×24 = 96 cm.
58.(a) Speed = 330 m / 15 s = 22 m/s = 22×18/5 = 79.2 km/h.
59.(a) x²−21x+110=0 factorises as (x−10)(x−11)=0, giving roots 10 and 11; the smaller root is 10.
60.(a) Marking 30% above cost price and giving a 15% discount gives selling price = CP×1.30×0.85 = 1.105×CP, a net profit of 10.5%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 95 odd numbers is 95.
62.(a) A's share is 6 times B's (500% more), giving a 6:1 ratio; each of the 7 parts = 1,40,000/7 = 20,000, so B's share = 1×20,000 = ₹20,000.