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← Index: LIC AAO — Reasoning & Quant CompanionChapter 17
Quantitative Aptitude · Chapter 17

Mock Test 7 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)

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Section A: Reasoning Ability (Q1–35)

  1. Eight people sit around a circular table facing the centre. K sits fifth to the right of L. M sits opposite L. N sits immediately to the left of M. Where does N sit relative to K?
    (a) Second to the left (b) Second to the right (c) Opposite K (d) Immediately right
  2. Pointing to a man, a woman said, "He is the son of my father's only son." How is the man related to the woman?
    (a) Nephew (b) Brother (c) Son (d) Cousin
  3. Find the next term: 9, 21, 45, 93, ?
    (a) 189 (b) 186 (c) 192 (d) 183
  4. If in a code, RIVER is coded as SJWFS, how is OCEAN coded using the same rule?
    (a) PDFBO (b) PDFBP (c) PDEBO (d) PDFAO
  5. Seven people sit in a row facing north. G is sixth from the left. H sits immediately to the left of G. I sits at the right end. There is exactly zero people between G and I.
    (a) H is fifth from the left (b) H is fourth from the left (c) H is seventh from the left (d) H is sixth from the left
  6. Choose the odd one out.
    (a) Mercury (b) Venus (c) Mars (d) Sun
  7. Premises: "All scholars are readers. All readers are learners." Which conclusion follows?
    (a) All scholars are learners (b) All learners are scholars (c) No scholars are learners (d) Some readers are not scholars
  8. A walks 11 km north, turns right and walks 19 km, then turns right again and walks 11 km. How far is he from the start?
    (a) 19 km (b) 11 km (c) 22 km (d) 30 km
  9. Arrange in a logical sequence: 1. Verdict 2. Cross-examination 3. Opening statement 4. Evidence submission
    (a) 3-4-2-1 (b) 1-2-3-4 (c) 3-2-4-1 (d) 4-3-2-1
  10. If in a code, HYDERABAD is written as IZEFSBCBE, how is LUCKNOW written?
    (a) MVDLOPX (b) MVDLOPW (c) MVDLNPX (d) LVDLOPX
  11. 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
  12. Data Sufficiency: "What is the value of q?" Statement I: 9q − 18 = 63. Statement II: q is an odd 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
  13. In a row of 70 people, Om is 27th from the left. What is his position from the right?
    (a) 44th (b) 43rd (c) 45th (d) 42nd
  14. Find the missing number: 9, 19, 40, 83, ?
    (a) 170 (b) 168 (c) 172 (d) 166
  15. A is the daughter of B. C is the son of B. D is the wife of C. How is A related to D?
    (a) Sister-in-law (b) Mother (c) Aunt (d) Cousin
  16. Complete the series: EI, IM, MQ, QU, ?
    (a) UY (b) UX (c) VY (d) UZ
  17. Statement: All sanctuaries are protected areas. No protected area is open to hunting. Conclusion: No sanctuary is open to hunting.
    (a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially
  18. In a stack of 11 boxes (box 1 at the bottom), box D is directly above box E, and E is seven positions above box F. How many positions separate D and F?
    (a) 8 (b) 7 (c) 9 (d) 6
  19. If each letter is shifted forward by six positions, CAT becomes IGZ. Using the same rule, DOG becomes:
    (a) JUM (b) JUL (c) IUM (d) JVM
  20. A runner finishes 19th from the last in a race of 55 runners. Find the rank from the first.
    (a) 37th (b) 36th (c) 38th (d) 35th
  21. Six people sit around a circular table facing the centre. P sits opposite Q. R sits immediately to the right of P. Where does R sit relative to Q?
    (a) Second to the left of Q (b) Second to the right of Q (c) Opposite Q (d) Immediately left of Q
  22. Premises: "Some singers are composers. All composers are musicians." Which conclusion follows?
    (a) Some singers are musicians (b) All singers are musicians (c) No singers are musicians (d) All musicians are singers
  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: (6,36), (7,49), (8,72), (9,81)
    (a) (8,72) (b) (6,36) (c) (7,49) (d) (9,81)
  25. In a code language, "weekly status update meeting" is coded as "zu ba lo mo", "status for clients" is coded as "lo ni ra", and "update for progress" is coded as "ba ni ta". What is the code for "update"?
    (a) ba (b) zu (c) lo (d) mo
  26. 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
  27. In a floor puzzle of 17 floors (ground=1, top=17), a person exactly midway between floor 7 and floor 17 lives on floor:
    (a) 12 (b) 11 (c) 13 (d) 12.5
  28. Choose the odd one out.
    (a) Cotton (b) Silk (c) Wool (d) Nylon
  29. If in a code, HYDERABAD is coded as JADGTCDCF (shift forward by 2), how is CHENNAI coded?
    (a) EJGPPCK (b) EJGPPCJ (c) EJGOPCK (d) DJGPPCK
  30. In a line of 60 people, Riya is 26th from the left. How many people are to her right?
    (a) 34 (b) 33 (c) 35 (d) 32
  31. Statement: All sanctuaries are reserved zones. Some reserved zones are coastal. Conclusion I: Some sanctuaries are coastal. Conclusion II: All reserved zones are sanctuaries. 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, 14, 32, 68, ?
    (a) 140 (b) 138 (c) 142 (d) 136
  34. In a row of 17 people facing north, if a person sits exactly in the middle, how many people are on each side?
    (a) 8 (b) 9 (c) 7 (d) 8.5
  35. Data Sufficiency: "Is s divisible by 8?" Statement I: s is divisible by 16. Statement II: s is divisible by 2. 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)

  1. Find the simple interest on ₹22,000 at 7% per annum for 5 years.
    (a) ₹7,700 (b) ₹7,500 (c) ₹7,900 (d) ₹7,300
  2. A shopkeeper sells an article for ₹936 at a profit of 4%. Find the cost price.
    (a) ₹900 (b) ₹890 (c) ₹910 (d) ₹880
  3. The average of 28 numbers is 35. If one number is removed, the average becomes 33 for the remaining 27. Find the removed number.
    (a) 89 (b) 86 (c) 92 (d) 84
  4. A sum of ₹238 is divided in the ratio 10:7. Find the larger part.
    (a) ₹140 (b) ₹135 (c) ₹145 (d) ₹130
  5. 29% of a number is 377. Find the number.
    (a) 1,300 (b) 1,280 (c) 1,320 (d) 1,260
  6. A car travels 160 km in 4 hours and then 320 km in 4 hours. Find the average speed for the whole journey.
    (a) 60 km/h (b) 58 km/h (c) 62 km/h (d) 55 km/h
  7. Find the compound interest on ₹25,000 for 2 years at 10% per annum, compounded annually.
    (a) ₹5,250 (b) ₹5,000 (c) ₹5,500 (d) ₹4,800
  8. Pipe A can fill a tank in 14 minutes and pipe B in 21 minutes. If both are opened together, how long will they take to fill the tank?
    (a) 8.4 minutes (b) 9 minutes (c) 7.5 minutes (d) 10 minutes
  9. A boat's speed in still water is 19 km/h and the stream flows at 11 km/h. Find the time to cover 120 km downstream.
    (a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours
  10. Find the next term in the series: 3, 21, 147, 1029, ?
    (a) 7,203 (b) 7,000 (c) 7,350 (d) 6,900
  11. An article with cost price ₹280 is sold for ₹420. Find the profit percentage.
    (a) 50% (b) 45% (c) 55% (d) 48%
  12. A is twice as old as B. Nine years ago, A was eleven times as old as B. Find B's present age.
    (a) 10 years (b) 8 years (c) 12 years (d) 14 years
  13. Solve for x: 17(x − 13) = 9x + 11.
    (a) 29 (b) 28 (c) 30 (d) 27
  14. Find the area of a rectangle with length 40 cm and breadth 24 cm.
    (a) 960 sq cm (b) 940 sq cm (c) 980 sq cm (d) 920 sq cm
  15. Two numbers are in the ratio 7:12. If their sum is 228, find the larger number.
    (a) 144 (b) 140 (c) 148 (d) 136
  16. A sum of ₹1,61,000 is divided between A and B such that A's share is 260% more than B's share. Find B's share.
    (a) ₹35,000 (b) ₹38,000 (c) ₹32,000 (d) ₹40,000
  17. Find the average of the first 140 natural numbers.
    (a) 70.5 (b) 70 (c) 71 (d) 69.5
  18. A marked price of ₹7,200 is discounted by 15%. Find the selling price.
    (a) ₹6,120 (b) ₹6,000 (c) ₹6,200 (d) ₹5,950
  19. Find the missing number in the series: 20, 42, 86, 174, ?
    (a) 350 (b) 346 (c) 354 (d) 342
  20. A invests ₹80,000 for 9 months and B invests ₹1,20,000 for 6 months. Find the ratio of their profit shares.
    (a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5
  21. A sum becomes six times itself in 40 years at simple interest. Find the rate of interest per annum.
    (a) 12.5% (b) 10% (c) 15% (d) 8%
  22. Find the perimeter of a square with area 400 sq cm.
    (a) 80 cm (b) 76 cm (c) 84 cm (d) 72 cm
  23. A train 240 m long crosses a pole in 12 seconds. Find its speed in km/h.
    (a) 72 km/h (b) 70 km/h (c) 75 km/h (d) 68 km/h
  24. Find the value of x: x² − 15x + 56 = 0 (smaller root).
    (a) 7 (b) 8 (c) 6 (d) 5
  25. A shopkeeper marks an article 35% above cost price and gives a discount of 10%. Find the overall profit percentage.
    (a) 21.5% (b) 25% (c) 18% (d) 23%
  26. Find the average of the first 65 odd natural numbers.
    (a) 65 (b) 64 (c) 66 (d) 63
  27. A sum of ₹1,80,000 is divided between A and B such that A's share is 350% more than B's share. Find B's share.
    (a) ₹40,000 (b) ₹42,000 (c) ₹38,000 (d) ₹36,000
  28. Two pipes can fill a tank in 10 and 15 minutes respectively. A third pipe can empty it in 20 minutes. If all three are opened together, how long will it take to fill the tank?
    (a) 60/7 minutes ≈ 8.6 minutes (b) 9 minutes (c) 7 minutes (d) 10 minutes
  29. Find the next term: 10, 22, 46, 94, ?
    (a) 190 (b) 188 (c) 192 (d) 186
  30. A's income is 100% more than B's income. By what percentage is B's income less than A's income?
    (a) 50% (b) 45% (c) 55% (d) 40%
  31. Find the compound interest on ₹70,000 for 1 year at 10% per annum, compounded half-yearly.
    (a) ₹7,175 (b) ₹7,000 (c) ₹7,350 (d) ₹6,900
  32. A works six times as fast as B. If B alone completes a task in 56 days, in how many days can A and B together complete it?
    (a) 8 days (b) 9 days (c) 10 days (d) 7 days
  33. Find the value of: 35% of 200 + 10% of 500.
    (a) 120 (b) 115 (c) 125 (d) 110
  34. A sum of ₹90,000 is lent at 8% per annum simple interest. Find the amount after 3 years.
    (a) ₹1,11,600 (b) ₹1,10,000 (c) ₹1,12,500 (d) ₹1,08,000
  35. Find the next term: 9, 21, 45, 93, 189, ?
    (a) 381 (b) 378 (c) 384 (d) 375

Answer Key with Explanations

1.(a) Placing L, then K five seats to L's right, M opposite L, and N immediately left of M fixes N two seats to the left of K when traced around the circle.

2.(a) The woman's father's only son is the woman's brother, and the brother's son is the woman's nephew.

3.(a) Each term follows ×2+3: 9×2+3=21, 21×2+3=45, 45×2+3=93, 93×2+3=189.

4.(a) Each letter shifts forward by one position: O→P, C→D, E→F, A→B, N→O.

5.(a) With G sixth from the left and H immediately to G's left, H sits fifth from the left.

6.(a) Venus, Mars, and Mercury are planets, while the Sun is a star.

7.(a) All scholars are readers, and all readers are learners, so all scholars are learners follows validly.

8.(a) The northward and southward legs (11 km each) cancel out, leaving only the 19 km eastward displacement.

9.(a) The natural sequence is: opening statement, evidence submission, cross-examination, and verdict.

10.(a) Each letter shifts forward by one position: L→M, U→V, C→D, K→L, N→O, O→P, W→X.

11.(a) A≥B>C gives A>C (one strict link); C>D then gives A>D.

12.(a) Statement I gives 9q=81, so q=9, a single definite value; Statement II alone only narrows q to odd numbers, not a unique value.

13.(a) Position from the right = 70−27+1 = 44th.

14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 9×2+1=19, 19×2+2=40, 40×2+3=83, 83×2+4=170.

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

16.(a) Each pair's first letter advances by four (E, I, M, Q, U) and the second letter advances by four (I, M, Q, U, Y), giving UY.

17.(a) All sanctuaries are protected areas, and no protected area is open to hunting, so no sanctuary is open to hunting follows validly.

18.(a) D is one position above E, and E is seven positions above F, so D is 1+7=8 positions above F.

19.(a) Each letter shifts forward by six positions: D→J, O→U, G→M.

20.(a) Rank from the first = 55−19+1 = 37th.

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

22.(a) Some singers are composers, and all composers are musicians, so some singers are musicians 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 the square of the first except (8,72), since 8²=64, not 72.

25.(a) "update" is common to "weekly status update meeting" and "update for progress"; comparing with "status for clients" isolates "ba" as the code for "update".

26.(a) M>N≥O gives M>O (one strict link); O≥P then gives M>P.

27.(a) Midway between floor 7 and floor 17 is (7+17)/2 = 12.

28.(a) Cotton, Silk, and Wool are natural fibres, while Nylon is a synthetic fibre.

29.(a) Each letter shifts forward by two positions: C→E, H→J, E→G, N→P, N→P, A→C, I→K.

30.(a) People to Riya's right = 60−26 = 34.

31.(a) The premises do not guarantee any sanctuary is coastal, and clearly not all reserved zones are sanctuaries, 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) The pattern is ×2 plus an increasing increment (4, 4, 4, 4): 5×2+4=14, 14×2+4=32, 32×2+4=68, 68×2+4=140.

34.(a) In a row of 17 with one person exactly in the middle (9th position), 8 people sit on each side.

35.(a) Statement I alone (divisible by 16) guarantees divisibility by 8, since 16 is itself a multiple of 8; Statement II alone (divisible by 2) does not guarantee divisibility by 8.

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