Mock Test 6 — 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. F sits fourth to the right of G. H sits opposite G. I sits immediately to the left of H. Where does I sit relative to F?
   (a) Third to the left (b) Second to the right (c) Opposite F (d) Immediately right
2. Pointing to a photograph, a man said, "She is the only daughter of my mother's only son." How is the woman in the photograph related to the man?
   (a) Daughter (b) Sister (c) Wife (d) Niece
3. Find the next term: 7, 17, 37, 77, ?
   (a) 157 (b) 154 (c) 160 (d) 150
4. If in a code, HOUSE is coded as IPVTF, how is GARDEN coded using the same rule?
   (a) HBSEFO (b) HBSEFN (c) HBSDFO (d) GBSEFO
5. Seven people sit in a row facing south. D is fifth from the left. E sits immediately to the right of D. F sits at the left end. There is exactly one person between D and the right end.
   (a) E is sixth from the left (b) E is fourth from the left (c) E is seventh from the left (d) E is fifth from the left
6. Choose the odd one out.
   (a) Cricket (b) Football (c) Hockey (d) Chess
7. Premises: "All engineers are graduates. All graduates are literate." Which conclusion follows?
   (a) All engineers are literate (b) All literate people are engineers (c) No engineers are literate (d) Some graduates are not engineers
8. A walks 12 km west, turns left and walks 16 km, then turns left again and walks 12 km. How far is he from the start?
   (a) 16 km (b) 12 km (c) 20 km (d) 28 km
9. Arrange in a logical sequence: 1. Sentencing 2. Arrest 3. Trial 4. Chargesheet
   (a) 2-4-3-1 (b) 1-2-3-4 (c) 2-3-4-1 (d) 4-2-3-1
10. If in a code, CHENNAI is written as DIFOOBJ, how is MUMBAI written?
    (a) NVNCBJ (b) NVNCBI (c) NVNCAJ (d) MVNCBJ
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 p?" Statement I: 7p − 14 = 49. Statement II: p is a positive integer. 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 65 people, Tara is 24th from the left. What is her position from the right?
    (a) 42nd (b) 41st (c) 43rd (d) 40th
14. Find the missing number: 8, 17, 36, 75, ?
    (a) 154 (b) 152 (c) 156 (d) 150
15. A is the son of B. C is the daughter of B. D is the husband of C. How is A related to D?
    (a) Brother-in-law (b) Father (c) Uncle (d) Cousin
16. Complete the series: DG, HK, LO, PS, ?
    (a) TW (b) TV (c) UW (d) TX
17. Statement: All bunkers are underground structures. No underground structure is visible from above. Conclusion: No bunker is visible from above.
    (a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially
18. In a stack of 10 boxes (box 1 at the bottom), box A is directly above box B, and B is six positions above box C. How many positions separate A and C?
    (a) 7 (b) 6 (c) 8 (d) 5
19. If each letter is shifted forward by five positions, CAT becomes HFY. Using the same rule, DOG becomes:
    (a) ITL (b) ITK (c) HTL (d) ITM
20. A runner finishes 16th from the last in a race of 50 runners. Find the rank from the first.
    (a) 35th (b) 34th (c) 36th (d) 33rd
21. Six people sit around a circular table facing the centre. X sits opposite Y. Z sits immediately to the right of X. Where does Z sit relative to Y?
    (a) Second to the left of Y (b) Second to the right of Y (c) Opposite Y (d) Immediately left of Y
22. Premises: "Some players are captains. All captains are leaders." Which conclusion follows?
    (a) Some players are leaders (b) All players are leaders (c) No players are leaders (d) All leaders are players
23. 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
24. Find the odd pair: (2,4), (3,9), (4,15), (5,25)
    (a) (4,15) (b) (2,4) (c) (3,9) (d) (5,25)
25. In a code language, "monthly performance review report" is coded as "vo ka lo mi", "performance for teams" is coded as "lo ni ta", and "review for growth" is coded as "ka ni ra". What is the code for "review"?
    (a) ka (b) vo (c) lo (d) mi
26. Given: X > Y ≥ Z and Z > W. Which relationship necessarily holds between X and W?
    (a) X > W (b) X < W (c) X = W (d) Cannot be determined
27. In a floor puzzle of 15 floors (ground=1, top=15), a person exactly midway between floor 5 and floor 15 lives on floor:
    (a) 10 (b) 9 (c) 11 (d) 10.5
28. Choose the odd one out.
    (a) Diamond (b) Gold (c) Silver (d) Platinum
29. If in a code, HOUSE is coded as JQWUG (shift forward by 2), how is CASTLE coded?
    (a) ECUVNG (b) ECUVNF (c) ECTVNG (d) DCUVNG
30. In a line of 55 people, Ishaan is 23rd from the left. How many people are to his right?
    (a) 32 (b) 31 (c) 33 (d) 30
31. Statement: All bunkers are fortified. Some fortified places are underground. Conclusion I: Some bunkers are underground. Conclusion II: All fortified places are bunkers. Which follows?
    (a) Neither I nor II follows (b) Only I follows (c) Only II follows (d) Both follow
32. 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
33. Find the next term: 3, 10, 24, 52, ?
    (a) 108 (b) 106 (c) 110 (d) 104
34. In a row of 15 people facing north, if a person sits exactly in the middle, how many people are on each side?
    (a) 7 (b) 8 (c) 6 (d) 7.5
35. Data Sufficiency: "Is r divisible by 12?" Statement I: r is divisible by 4. Statement II: r is divisible by 3. Which is sufficient?
    (a) Both statements together are sufficient, but neither alone is (b) Statement I alone is sufficient (c) Statement II alone is sufficient (d) Neither is sufficient even together

Section B: Quantitative Aptitude (Q36–70)

36. Find the simple interest on ₹20,000 at 9% per annum for 4 years.
    (a) ₹7,200 (b) ₹7,000 (c) ₹7,400 (d) ₹6,800
37. A shopkeeper sells an article for ₹848 at a profit of 6%. Find the cost price.
    (a) ₹800 (b) ₹790 (c) ₹810 (d) ₹780
38. The average of 30 numbers is 50. If one number is removed, the average becomes 48 for the remaining 29. Find the removed number.
    (a) 108 (b) 104 (c) 112 (d) 100
39. A sum of ₹195 is divided in the ratio 8:5. Find the larger part.
    (a) ₹120 (b) ₹115 (c) ₹125 (d) ₹110
40. 46% of a number is 414. Find the number.
    (a) 900 (b) 880 (c) 920 (d) 860
41. A car travels 175 km in 5 hours and then 225 km in 3 hours. Find the average speed for the whole journey.
    (a) 50 km/h (b) 48 km/h (c) 52 km/h (d) 45 km/h
42. Find the compound interest on ₹20,000 for 2 years at 10% per annum, compounded annually.
    (a) ₹4,200 (b) ₹4,000 (c) ₹4,400 (d) ₹3,900
43. Pipe A can fill a tank in 10 minutes and pipe B in 15 minutes. If both are opened together, how long will they take to fill the tank?
    (a) 6 minutes (b) 7 minutes (c) 5 minutes (d) 8 minutes
44. A boat's speed in still water is 18 km/h and the stream flows at 10 km/h. Find the time to cover 112 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, 25, 125, 625, ?
    (a) 3,125 (b) 3,000 (c) 3,250 (d) 2,950
46. An article with cost price ₹250 is sold for ₹350. Find the profit percentage.
    (a) 40% (b) 35% (c) 45% (d) 38%
47. A is twice as old as B. Eight years ago, A was six times as old as B. Find B's present age.
    (a) 10 years (b) 8 years (c) 12 years (d) 14 years
48. Solve for x: 16(x − 11) = 8x + 8.
    (a) 23 (b) 22 (c) 24 (d) 21
49. Find the area of a rectangle with length 36 cm and breadth 22 cm.
    (a) 792 sq cm (b) 770 sq cm (c) 800 sq cm (d) 760 sq cm
50. Two numbers are in the ratio 6:11. If their sum is 204, find the larger number.
    (a) 132 (b) 128 (c) 136 (d) 124
51. A sum of ₹1,47,000 is divided between A and B such that A's share is 220% more than B's share. Find B's share.
    (a) ₹35,000 (b) ₹38,000 (c) ₹32,000 (d) ₹40,000
52. Find the average of the first 120 natural numbers.
    (a) 60.5 (b) 60 (c) 61 (d) 59.5
53. A marked price of ₹6,400 is discounted by 12.5%. Find the selling price.
    (a) ₹5,600 (b) ₹5,500 (c) ₹5,700 (d) ₹5,450
54. Find the missing number in the series: 18, 38, 78, 158, ?
    (a) 318 (b) 314 (c) 322 (d) 310
55. A invests ₹70,000 for 9 months and B invests ₹1,05,000 for 6 months. Find the ratio of their profit shares.
    (a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5
56. A sum becomes five times itself in 32 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 361 sq cm.
    (a) 76 cm (b) 72 cm (c) 80 cm (d) 68 cm
58. A train 220 m long crosses a pole in 11 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 − 13x + 42 = 0 (smaller root).
    (a) 6 (b) 7 (c) 5 (d) 4
60. A shopkeeper marks an article 45% above cost price and gives a discount of 20%. Find the overall profit percentage.
    (a) 16% (b) 20% (c) 14% (d) 18%
61. Find the average of the first 55 odd natural numbers.
    (a) 55 (b) 54 (c) 56 (d) 53
62. A sum of ₹1,68,000 is divided between A and B such that A's share is 300% more than B's share. Find B's share.
    (a) ₹33,600 (b) ₹35,000 (c) ₹32,000 (d) ₹36,000
63. Two pipes can fill a tank in 15 and 20 minutes respectively. A third pipe can empty it in 25 minutes. If all three are opened together, how long will it take to fill the tank?
    (a) 300/23 minutes ≈ 13 minutes (b) 12 minutes (c) 15 minutes (d) 10 minutes
64. Find the next term: 9, 20, 42, 86, ?
    (a) 174 (b) 172 (c) 176 (d) 170
65. A's income is 80% more than B's income. By what percentage is B's income less than A's income?
    (a) 44.4% (b) 45% (c) 42% (d) 40%
66. Find the compound interest on ₹60,000 for 1 year at 10% per annum, compounded half-yearly.
    (a) ₹6,150 (b) ₹6,000 (c) ₹6,300 (d) ₹5,900
67. A works five times as fast as B. If B alone completes a task in 48 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: 30% of 250 + 20% of 350.
    (a) 145 (b) 140 (c) 150 (d) 135
69. A sum of ₹80,000 is lent at 7% per annum simple interest. Find the amount after 3 years.
    (a) ₹96,800 (b) ₹95,000 (c) ₹97,500 (d) ₹94,000
70. Find the next term: 7, 17, 37, 77, 157, ?
    (a) 317 (b) 312 (c) 320 (d) 310

Answer Key with Explanations

1.(a) Placing G, then F four seats to G's right, H opposite G, and I immediately left of H fixes I three seats to the left of F when traced around the circle.

2.(a) The man's mother's only son is the man himself (since he has no brothers), so the only daughter of that son is the man's own daughter.

3.(a) Each term follows ×2+3: 7×2+3=17, 17×2+3=37, 37×2+3=77, 77×2+3=157.

4.(a) Each letter shifts forward by one position: G→H, A→B, R→S, D→E, E→F, N→O.

5.(a) With D fifth from the left and E immediately to D's right, E sits sixth from the left.

6.(a) Cricket, Football, and Hockey are played with a ball or similar object on a field, while Chess is a board game.

7.(a) All engineers are graduates, and all graduates are literate, so all engineers are literate follows validly.

8.(a) The westward and eastward legs (12 km each) cancel out, leaving only the 16 km northward displacement.

9.(a) The natural sequence is: arrest, chargesheet, trial, and sentencing.

10.(a) Each letter shifts forward by one position: M→N, U→V, M→N, B→C, A→B, I→J.

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

12.(a) Statement I gives 7p=63, so p=9, a single definite value; Statement II alone only narrows p to positive integers, not a unique value.

13.(a) Position from the right = 65−24+1 = 42nd.

14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 8×2+1=17, 17×2+2=36, 36×2+3=75, 75×2+4=154.

15.(a) A and C are B's children (siblings), and D is C's husband, making A and D brothers-in-law.

16.(a) Each pair's first letter advances by four (D, H, L, P, T) and the second letter advances by four (G, K, O, S, W), giving TW.

17.(a) All bunkers are underground structures, and no underground structure is visible from above, so no bunker is visible from above follows validly.

18.(a) A is one position above B, and B is six positions above C, so A is 1+6=7 positions above C.

19.(a) Each letter shifts forward by five positions: D→I, O→T, G→L.

20.(a) Rank from the first = 50−16+1 = 35th.

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

22.(a) Some players are captains, and all captains are leaders, so some players are leaders 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 the square of the first except (4,15), since 4²=16, not 15.

25.(a) "review" is common to "monthly performance review report" and "review for growth"; comparing with "performance for teams" isolates "ka" as the code for "review".

26.(a) X>Y≥Z gives X>Z (one strict link); Z>W then gives X>W.

27.(a) Midway between floor 5 and floor 15 is (5+15)/2 = 10.

28.(a) Gold, Silver, and Platinum are metals, while Diamond is a non-metal (a form of carbon).

29.(a) Each letter shifts forward by two positions: C→E, A→C, S→U, T→V, L→N, E→G.

30.(a) People to Ishaan's right = 55−23 = 32.

31.(a) The premises do not guarantee any bunker is underground, and clearly not all fortified places are bunkers, 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) The pattern is ×2 plus a constant increment of 4: 3×2+4=10, 10×2+4=24, 24×2+4=52, 52×2+4=108.

34.(a) In a row of 15 with one person exactly in the middle (8th position), 7 people sit on each side.

35.(a) Statement I alone (divisible by 4) and Statement II alone (divisible by 3) are each insufficient, but together they guarantee divisibility by 12.

36.(a) Simple interest = (20,000×9×4)/100 = ₹7,200.

37.(a) Cost price = 848/1.06 = ₹800.

38.(a) Total of 30 numbers = 30×50 = 1,500; total of remaining 29 = 29×48 = 1,392; removed number = 1,500−1,392 = 108.

39.(a) The parts total 8+5 = 13; each part = 195/13 = 15; larger part = 8×15 = ₹120.

40.(a) The number = 414/0.46 = 900.

41.(a) Total distance = 175+225 = 400 km; total time = 5+3 = 8 hours; average speed = 400/8 = 50 km/h.

42.(a) Amount = 20,000×(1.10)² = 24,200; compound interest = ₹4,200.

43.(a) Combined rate = 1/10+1/15 = 3/30+2/30 = 5/30 = 1/6, so together they take 6 minutes.

44.(a) Downstream speed = 18+10 = 28 km/h; time = 112/28 = 4 hours.

45.(a) Each term is multiplied by 5: 5×5=25, 25×5=125, 125×5=625, 625×5=3,125.

46.(a) Profit = 350−250 = ₹100; profit percentage = (100/250)×100 = 40%.

47.(a) Let B's present age be x and A's be 2x; eight years ago, 2x−8 = 6(x−8), giving 2x−8 = 6x−48, so 4x=40, x=10.

48.(a) 16(x−11)=8x+8 gives 16x−176=8x+8, so 8x=184, x=23.

49.(a) Area = 36×22 = 792 sq cm.

50.(a) The parts total 6+11 = 17; each part = 204/17 = 12; larger number = 11×12 = 132.

51.(a) A's share is 3.2 times B's (220% more), giving a 16:5 ratio; each of the 21 parts = 1,47,000/21 = 7,000, so B's share = 5×7,000 = ₹35,000.

52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 120 is 121/2 = 60.5.

53.(a) Selling price = 6,400×0.875 = ₹5,600.

54.(a) Each term follows ×2+2: 18×2+2=38, 38×2+2=78, 78×2+2=158, 158×2+2=318.

55.(a) A:B ratio = (70,000×9):(1,05,000×6) = 6,30,000:6,30,000 = 1:1.

56.(a) A sum becoming five times itself means the interest earned equals four times the principal; rate = (4×100)/32 = 12.5% per annum.

57.(a) Side of the square = √361 = 19 cm; perimeter = 4×19 = 76 cm.

58.(a) Speed = 220 m / 11 s = 20 m/s = 20×18/5 = 72 km/h.

59.(a) x²−13x+42=0 factorises as (x−6)(x−7)=0, giving roots 6 and 7; the smaller root is 6.

60.(a) Marking 45% above cost price and giving a 20% discount gives selling price = CP×1.45×0.80 = 1.16×CP, a net profit of 16%.

61.(a) The average of the first n odd natural numbers equals n, so the average of the first 55 odd numbers is 55.

62.(a) A's share is 4 times B's (300% more), giving a 4:1 ratio; each of the 5 parts = 1,68,000/5 = 33,600, so B's share = 1×33,600 = ₹33,600.

63.(a) Combined rate = 1/15+1/20−1/25 = 20/300+15/300−12/300 = 23/300, so the tank fills in 300/23 ≈ 13 minutes.

64.(a) Each term follows ×2+2: 9×2+2=20, 20×2+2=42, 42×2+2=86, 86×2+2=174.

65.(a) If A = 1.8B, then B = A/1.8 ≈ 0.5556A, meaning B's income is about 44.4% less than A's.

66.(a) Amount = 60,000×(1.05)² = 66,150; compound interest = ₹6,150.

67.(a) B's rate = 1/48; A's rate (five times as fast) = 5/48; combined rate = 1/48+5/48 = 6/48 = 1/8, so together they take 8 days.

68.(a) 30% of 250 = 75; 20% of 350 = 70; sum = 145.

69.(a) Simple interest = (80,000×7×3)/100 = 16,800; amount = 80,000+16,800 = ₹96,800.

70.(a) Each term follows ×2+3: 7×2+3=17, 17×2+3=37, 37×2+3=77, 77×2+3=157, 157×2+3=317.