Mock Test 13 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)

Section A: Reasoning Ability (Q1–35)

1. Eight people sit around a circular table facing the centre. N2 sits sixth to the right of O2. P2 sits opposite O2. Q2 sits immediately to the left of P2. Where does Q2 sit relative to N2?
   (a) Third to the left (b) Second to the right (c) Opposite N2 (d) Immediately right
2. Pointing to a woman, a man said, "She is the wife of the only son of my grandfather's only son." How is the woman related to the man?
   (a) Mother/Sister-in-law (b) Wife (c) Daughter (d) Aunt
3. Find the next term: 13, 32, 70, 146, ?
   (a) 298 (b) 294 (c) 302 (d) 290
4. If in a code, PLANET is coded as QMBOFU, how is COMPUTER coded using the same rule?
   (a) DPNQVUFS (b) DPNQVUFR (c) DPNQVTFS (d) CPNQVUFS
5. Seven people sit in a row facing north. D3 is seventh (rightmost) from the left. E3 sits immediately to the left of D3. F3 sits at the left end. There are exactly four people between F3 and E3.
   (a) E3 is sixth from the left (b) E3 is fifth from the left (c) E3 is seventh from the left (d) E3 is fourth from the left
6. Choose the odd one out.
   (a) Carrot (b) Potato (c) Radish (d) Cabbage
7. Premises: "All statisticians are quantitative. All quantitative professionals are precise." Which conclusion follows?
   (a) All statisticians are precise (b) All precise people are statisticians (c) No statisticians are precise (d) Some quantitative professionals are not statisticians
8. A walks 20 km west, turns right and walks 24 km, then turns right again and walks 20 km. How far is he from the start?
   (a) 24 km (b) 20 km (c) 40 km (d) 44 km
9. Arrange in a logical sequence: 1. Onboarding 2. Job offer 3. Interview 4. Resume screening
   (a) 4-3-2-1 (b) 1-2-3-4 (c) 4-2-3-1 (d) 3-4-2-1
10. If in a code, COMPUTER is written as DPNQVUFS, how is KEYBOARD written?
    (a) LFZCPBSE (b) LFZCPBSF (c) LFZCPASE (d) KFZCPBSE
11. Given: J ≥ K > L and L ≥ M. Which relationship necessarily holds between J and M?
    (a) J > M (b) J < M (c) J = M (d) Cannot be determined
12. Data Sufficiency: "What is the value of a?" Statement I: 17a − 34 = 153. Statement II: a is greater than 10. 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
13. In a row of 110 people, Yash is 48th from the left. What is his position from the right?
    (a) 63rd (b) 62nd (c) 64th (d) 61st
14. Find the missing number: 15, 31, 64, 131, ?
    (a) 266 (b) 264 (c) 268 (d) 262
15. A is the daughter of B. C is the son of B. D is the wife of C. How is A's child (if she has one, F) related to D?
    (a) Niece/Nephew-in-law (b) Sister (c) Daughter (d) Cousin
16. Complete the series: KP, OT, SX, WB, ?
    (a) AF (b) AE (c) BF (d) ZF
17. Statement: All citadels are fortified towns. No fortified town is undefended. Conclusion: No citadel is undefended.
    (a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially
18. In a stack of 17 boxes (box 1 at the bottom), box V is directly above box W, and W is thirteen positions above box X. How many positions separate V and X?
    (a) 14 (b) 13 (c) 15 (d) 12
19. If each letter is shifted forward by twelve positions, CAT becomes OMF. Using the same rule, DOG becomes:
    (a) PAS (b) PAR (c) OAS (d) PBS
20. A runner finishes 36th from the last in a race of 85 runners. Find the rank from the first.
    (a) 50th (b) 49th (c) 51st (d) 48th
21. Six people sit around a circular table facing the centre. N1 sits opposite O1. P1 sits immediately to the right of N1. Where does P1 sit relative to O1?
    (a) Second to the left of O1 (b) Second to the right of O1 (c) Opposite O1 (d) Immediately left of O1
22. Premises: "Some artisans are craftsmen. All craftsmen are skilled." Which conclusion follows?
    (a) Some artisans are skilled (b) All artisans are skilled (c) No artisans are skilled (d) All skilled people are artisans
23. P is the father of Q. R is the daughter of Q. S is the husband of R. How is P related to S?
    (a) Grandfather-in-law (b) Father (c) Uncle (d) Grandfather
24. Find the odd pair: (22,66), (23,69), (24,73), (25,75)
    (a) (24,73) (b) (22,66) (c) (23,69) (d) (25,75)
25. In a code language, "annual credit risk profile" is coded as "yu la ti ko", "credit for institutions" is coded as "la ni ra", and "risk for markets" is coded as "ti ni du". What is the code for "risk"?
    (a) ti (b) yu (c) la (d) ko
26. 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
27. In a floor puzzle of 29 floors (ground=1, top=29), a person exactly midway between floor 19 and floor 29 lives on floor:
    (a) 24 (b) 23 (c) 25 (d) 24.5
28. Choose the odd one out.
    (a) Onion (b) Garlic (c) Ginger (d) Apple
29. If in a code, PLANET is coded as RNCPGV (shift forward by 2), how is COMPUTER coded?
    (a) EQORWVGT (b) EQORWVGS (c) EQOQWVGT (d) DQORWVGT
30. In a line of 90 people, Kiara is 41st from the left. How many people are to her right?
    (a) 49 (b) 48 (c) 50 (d) 47
31. Statement: All citadels are fortified towns. Some fortified towns are besieged. Conclusion I: Some citadels are besieged. Conclusion II: All fortified towns are citadels. Which follows?
    (a) Neither I nor II follows (b) Only I follows (c) Only II follows (d) Both follow
32. P is the father of Q. Q is the sister of R. R is the husband of S. S is the mother of T. How is P related to T?
    (a) Grandfather (b) Father (c) Uncle (d) Great-grandfather
33. Find the next term: 5, 30, 180, 1080, ?
    (a) 6,480 (b) 6,400 (c) 6,500 (d) 6,300
34. In a row of 29 people facing north, if a person sits exactly in the middle, how many people are on each side?
    (a) 14 (b) 15 (c) 13 (d) 14.5
35. Data Sufficiency: "Is e divisible by 18?" Statement I: e is divisible by 54. Statement II: e is divisible by 9. 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)

36. Find the simple interest on ₹40,000 at 9% per annum for 3 years.
    (a) ₹10,800 (b) ₹10,500 (c) ₹11,000 (d) ₹10,200
37. A shopkeeper sells an article for ₹1,272 at a profit of 6%. Find the cost price.
    (a) ₹1,200 (b) ₹1,190 (c) ₹1,210 (d) ₹1,180
38. The average of 31 numbers is 44. If one number is removed, the average becomes 42 for the remaining 30. Find the removed number.
    (a) 104 (b) 100 (c) 108 (d) 96
39. A sum of ₹546 is divided in the ratio 7:6. Find the larger part.
    (a) ₹294 (b) ₹285 (c) ₹300 (d) ₹275
40. 32% of a number is 800. Find the number.
    (a) 2,500 (b) 2,450 (c) 2,550 (d) 2,400
41. A car travels 400 km in 5 hours and then 320 km in 4 hours. Find the average speed for the whole journey.
    (a) 80 km/h (b) 78 km/h (c) 82 km/h (d) 75 km/h
42. Find the compound interest on ₹40,000 for 2 years at 10% per annum, compounded annually.
    (a) ₹8,400 (b) ₹8,200 (c) ₹8,600 (d) ₹8,000
43. Pipe A can fill a tank in 18 minutes and pipe B in 36 minutes. If both are opened together, how long will they take to fill the tank?
    (a) 12 minutes (b) 13 minutes (c) 11 minutes (d) 14 minutes
44. A boat's speed in still water is 31 km/h and the stream flows at 9 km/h. Find the time to cover 160 km downstream.
    (a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours
45. Find the next term in the series: 5, 30, 180, 1080, ?
    (a) 6,480 (b) 6,400 (c) 6,500 (d) 6,300
46. An article with cost price ₹700 is sold for ₹1,050. Find the profit percentage.
    (a) 50% (b) 45% (c) 55% (d) 48%
47. A is four times as old as B. Eight years ago, A was six times as old as B. Find B's present age.
    (a) 20 years (b) 18 years (c) 22 years (d) 24 years
48. Solve for x: 17(x − 14) = 9x + 50.
    (a) 36 (b) 35 (c) 37 (d) 34
49. Find the area of a rectangle with length 65 cm and breadth 42 cm.
    (a) 2,730 sq cm (b) 2,700 sq cm (c) 2,760 sq cm (d) 2,680 sq cm
50. Two numbers are in the ratio 14:23. If their sum is 370, find the larger number.
    (a) 230 (b) 225 (c) 235 (d) 220
51. A sum of ₹91,000 is divided between A and B such that A's share is 125% more than B's share. Find B's share.
    (a) ₹28,000 (b) ₹30,000 (c) ₹26,000 (d) ₹32,000
52. Find the average of the first 500 natural numbers.
    (a) 250.5 (b) 250 (c) 251 (d) 249.5
53. A marked price of ₹16,800 is discounted by 15%. Find the selling price.
    (a) ₹14,280 (b) ₹14,000 (c) ₹14,400 (d) ₹13,900
54. Find the missing number in the series: 32, 66, 134, 270, ?
    (a) 542 (b) 538 (c) 546 (d) 534
55. A invests ₹1,80,000 for 4 months and B invests ₹90,000 for 8 months. Find the ratio of their profit shares.
    (a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5
56. A sum becomes fourteen times itself in 104 years at simple interest. Find the rate of interest per annum.
    (a) 12.5% (b) 10% (c) 15% (d) 8%
57. Find the perimeter of a square with area 900 sq cm.
    (a) 120 cm (b) 116 cm (c) 124 cm (d) 112 cm
58. A train 440 m long crosses a pole in 22 seconds. Find its speed in km/h.
    (a) 72 km/h (b) 70 km/h (c) 75 km/h (d) 68 km/h
59. Find the value of x: x² − 27x + 182 = 0 (smaller root).
    (a) 13 (b) 14 (c) 12 (d) 15
60. A shopkeeper marks an article 60% above cost price and gives a discount of 35%. Find the overall profit percentage.
    (a) 4% (b) 8% (c) 2% (d) 6%
61. Find the average of the first 125 odd natural numbers.
    (a) 125 (b) 124 (c) 126 (d) 123
62. A sum of ₹1,26,000 is divided between A and B such that A's share is 220% more than B's share. Find B's share.
    (a) ₹30,000 (b) ₹32,000 (c) ₹28,000 (d) ₹34,000
63. Two pipes can fill a tank in 16 and 24 minutes respectively. A third pipe can empty it in 32 minutes. If all three are opened together, how long will it take to fill the tank?
    (a) 96/7 minutes ≈ 13.7 minutes (b) 14 minutes (c) 12 minutes (d) 15 minutes
64. Find the next term: 17, 36, 74, 150, ?
    (a) 302 (b) 300 (c) 304 (d) 298
65. A's income is 400% more than B's income. By what percentage is B's income less than A's income?
    (a) 80% (b) 75% (c) 85% (d) 70%
66. Find the compound interest on ₹2,00,000 for 1 year at 10% per annum, compounded half-yearly.
    (a) ₹20,500 (b) ₹20,000 (c) ₹21,000 (d) ₹19,500
67. A works twelve times as fast as B. If B alone completes a task in 104 days, in how many days can A and B together complete it?
    (a) 8 days (b) 9 days (c) 10 days (d) 7 days
68. Find the value of: 65% of 140 + 40% of 175.
    (a) 161 (b) 155 (c) 165 (d) 150
69. A sum of ₹3,00,000 is lent at 4% per annum simple interest. Find the amount after 5 years.
    (a) ₹3,60,000 (b) ₹3,55,000 (c) ₹3,65,000 (d) ₹3,50,000
70. Find the next term: 13, 32, 70, 146, 298, ?
    (a) 602 (b) 598 (c) 606 (d) 594

Answer Key with Explanations

1.(a) Placing O2, then N2 six seats to O2's right, P2 opposite O2, and Q2 immediately left of P2 fixes Q2 three seats to the left of N2 when traced around the circle.

2.(a) The man's grandfather's only son is the man's father, and the father's only son is the man himself (having no brothers), so the woman is the man's own wife.

3.(a) Each term follows ×2+6: 13×2+6=32, 32×2+6=70, 70×2+6=146, 146×2+6=298.

4.(a) Each letter shifts forward by one position: C→D, O→P, M→N, P→Q, U→V, T→U, E→F, R→S.

5.(a) With D3 seventh from the left (the right end) and E3 immediately to D3's left, E3 sits sixth from the left.

6.(a) Carrot, Potato, and Radish are root vegetables, while Cabbage is a leafy vegetable.

7.(a) All statisticians are quantitative, and all quantitative professionals are precise, so all statisticians are precise follows validly.

8.(a) The westward and eastward legs (20 km each) cancel out, leaving only the 24 km northward displacement.

9.(a) The natural sequence is: resume screening, interview, job offer, and onboarding.

10.(a) Each letter shifts forward by one position: K→L, E→F, Y→Z, B→C, O→P, A→B, R→S, D→E.

11.(a) J≥K>L gives J>L (one strict link); L≥M then gives J>M.

12.(a) Statement I gives 17a=187, so a=11, a single definite value; Statement II alone only narrows a to values greater than 10, not a unique value.

13.(a) Position from the right = 110−48+1 = 63rd.

14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 15×2+1=31, 31×2+2=64, 64×2+3=131, 131×2+4=266.

15.(a) A and C are B's children (siblings); D is C's wife, and F is A's child, making F the niece or nephew of D (through marriage into the family).

16.(a) Each pair's first letter advances by four (K, O, S, W, A) and the second letter advances by four (P, T, X, B, F, wrapping past Z), giving AF.

17.(a) All citadels are fortified towns, and no fortified town is undefended, so no citadel is undefended follows validly.

18.(a) V is one position above W, and W is thirteen positions above X, so V is 1+13=14 positions above X.

19.(a) Each letter shifts forward by twelve positions: D→P, O→A, G→S.

20.(a) Rank from the first = 85−36+1 = 50th.

21.(a) With N1 and O1 opposite in a 6-seat circle (3 seats apart) and P1 immediately to N1's right, P1 ends up two seats to the left of O1.

22.(a) Some artisans are craftsmen, and all craftsmen are skilled, so some artisans are skilled follows validly.

23.(a) P is Q's father, R is Q's daughter (P's granddaughter), and S is R's husband, making P a grandfather-in-law to S.

24.(a) In each pair the second number is three times the first except (24,73), since 24×3=72, not 73.

25.(a) "risk" is common to "annual credit risk profile" and "risk for markets"; comparing with "credit for institutions" isolates "ti" as the code for "risk".

26.(a) P≥Q>R gives P>R (one strict link); R>S then gives P>S.

27.(a) Midway between floor 19 and floor 29 is (19+29)/2 = 24.

28.(a) Onion, Garlic, and Ginger are underground bulb or root vegetables commonly used as flavouring, while Apple is a fruit.

29.(a) Each letter shifts forward by two positions: C→E, O→Q, M→O, P→R, U→W, T→V, E→G, R→T.

30.(a) People to Kiara's right = 90−41 = 49.

31.(a) The premises do not guarantee any citadel is besieged, and clearly not all fortified towns are citadels, so neither conclusion follows.

32.(a) Q and R are P's children; R is S's husband and S is T's mother, so R is T's father, making P (R's father) T's grandfather.

33.(a) Each term is multiplied by 6: 5×6=30, 30×6=180, 180×6=1,080, 1,080×6=6,480.

34.(a) In a row of 29 with one person exactly in the middle (15th position), 14 people sit on each side.

35.(a) Statement I alone (divisible by 54) guarantees divisibility by 18, since 54 is itself a multiple of 18; Statement II alone (divisible by 9) does not guarantee divisibility by 18.

36.(a) Simple interest = (40,000×9×3)/100 = ₹10,800.

37.(a) Cost price = 1,272/1.06 = ₹1,200.

38.(a) Total of 31 numbers = 31×44 = 1,364; total of remaining 30 = 30×42 = 1,260; removed number = 1,364−1,260 = 104.

39.(a) The parts total 7+6 = 13; each part = 546/13 = 42; larger part = 7×42 = ₹294.

40.(a) The number = 800/0.32 = 2,500.

41.(a) Total distance = 400+320 = 720 km; total time = 5+4 = 9 hours; average speed = 720/9 = 80 km/h.

42.(a) Amount = 40,000×(1.10)² = 48,400; compound interest = ₹8,400.

43.(a) Combined rate = 1/18+1/36 = 2/36+1/36 = 3/36 = 1/12, so together they take 12 minutes.

44.(a) Downstream speed = 31+9 = 40 km/h; time = 160/40 = 4 hours.

45.(a) Each term is multiplied by 6: 5×6=30, 30×6=180, 180×6=1,080, 1,080×6=6,480.

46.(a) Profit = 1,050−700 = ₹350; profit percentage = (350/700)×100 = 50%.

47.(a) Let B's present age be x and A's be 4x; eight years ago, 4x−8 = 6(x−8), giving 4x−8 = 6x−48, so 2x=40, x=20.

48.(a) 17(x−14)=9x+50 gives 17x−238=9x+50, so 8x=288, x=36.

49.(a) Area = 65×42 = 2,730 sq cm.

50.(a) The parts total 14+23 = 37; each part = 370/37 = 10; larger number = 23×10 = 230.

51.(a) A's share is 2.25 times B's (125% more), giving a 9:4 ratio; each of the 13 parts = 91,000/13 = 7,000, so B's share = 4×7,000 = ₹28,000.

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 = 16,800×0.85 = ₹14,280.

54.(a) Each term follows ×2+2: 32×2+2=66, 66×2+2=134, 134×2+2=270, 270×2+2=542.

55.(a) A:B ratio = (1,80,000×4):(90,000×8) = 7,20,000:7,20,000 = 1:1.

56.(a) A sum becoming fourteen times itself means the interest earned equals thirteen times the principal; rate = (13×100)/104 = 12.5% per annum.

57.(a) Side of the square = √900 = 30 cm; perimeter = 4×30 = 120 cm.

58.(a) Speed = 440 m / 22 s = 20 m/s = 20×18/5 = 72 km/h.

59.(a) x²−27x+182=0 factorises as (x−13)(x−14)=0, giving roots 13 and 14; the smaller root is 13.

60.(a) Marking 60% above cost price and giving a 35% discount gives selling price = CP×1.60×0.65 = 1.04×CP, a net profit of 4%.

61.(a) The average of the first n odd natural numbers equals n, so the average of the first 125 odd numbers is 125.

62.(a) A's share is 3.2 times B's (220% more), giving a 16:5 ratio; each of the 21 parts = 1,26,000/21 = 6,000, so B's share = 5×6,000 = ₹30,000.