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← Index: LIC AAO — Reasoning & Quant CompanionChapter 18
Quantitative Aptitude · Chapter 18

Mock Test 8 — 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. A sits sixth to the right of B. C sits opposite B. D sits immediately to the left of C. Where does D sit relative to A?
    (a) Third to the left (b) Second to the right (c) Opposite A (d) Immediately right
  2. Pointing to a girl, a man said, "She is the daughter of my wife's only brother." How is the girl related to the man?
    (a) Niece (b) Daughter (c) Sister (d) Cousin
  3. Find the next term: 8, 19, 41, 85, ?
    (a) 173 (b) 170 (c) 176 (d) 168
  4. If in a code, MANGO is coded as NBOHP, how is APPLE coded using the same rule?
    (a) BQQMF (b) BQQMG (c) BQPMF (d) BQQNF
  5. Seven people sit in a row facing south. J is second from the left. K sits immediately to the right of J. L sits at the right end. There are exactly four people between K and L.
    (a) K is third from the left (b) K is fourth from the left (c) K is second from the left (d) K is fifth from the left
  6. Choose the odd one out.
    (a) Whale (b) Dolphin (c) Shark (d) Seal
  7. Premises: "All analysts are professionals. All professionals are certified." Which conclusion follows?
    (a) All analysts are certified (b) All certified people are analysts (c) No analysts are certified (d) Some professionals are not analysts
  8. A walks 13 km south, turns left and walks 7 km, then turns left again and walks 13 km. How far is he from the start?
    (a) 7 km (b) 13 km (c) 20 km (d) 26 km
  9. Arrange in a logical sequence: 1. Diagnosis 2. Symptoms 3. Treatment 4. Recovery
    (a) 2-1-3-4 (b) 1-2-3-4 (c) 2-3-1-4 (d) 2-1-4-3
  10. If in a code, PLANET is written as QMBOFU, how is JUPITER written?
    (a) KVQJUFS (b) KVQJUFR (c) KVPJUFS (d) JVQJUFS
  11. 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
  12. Data Sufficiency: "What is the value of r?" Statement I: 8r − 16 = 48. Statement II: r is a positive even 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 75 people, Kabir is 30th from the left. What is his position from the right?
    (a) 46th (b) 45th (c) 47th (d) 44th
  14. Find the missing number: 10, 21, 44, 91, ?
    (a) 186 (b) 184 (c) 188 (d) 182
  15. A is the son of B. C is the sister of A. D is the husband of C. How is B related to D?
    (a) Father-in-law/Mother-in-law (b) Father (c) Uncle (d) Brother
  16. Complete the series: FJ, JN, NR, RV, ?
    (a) VZ (b) VY (c) WZ (d) VX
  17. Statement: All arsenals are secured facilities. No secured facility is publicly accessible. Conclusion: No arsenal is publicly accessible.
    (a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially
  18. In a stack of 12 boxes (box 1 at the bottom), box G is directly above box H, and H is eight positions above box I. How many positions separate G and I?
    (a) 9 (b) 8 (c) 10 (d) 7
  19. If each letter is shifted forward by seven positions, CAT becomes JHA. Using the same rule, DOG becomes:
    (a) KVN (b) KVM (c) JVN (d) KUN
  20. A runner finishes 21st from the last in a race of 60 runners. Find the rank from the first.
    (a) 40th (b) 39th (c) 41st (d) 38th
  21. Six people sit around a circular table facing the centre. E sits opposite F. G sits immediately to the right of E. Where does G sit relative to F?
    (a) Second to the left of F (b) Second to the right of F (c) Opposite F (d) Immediately left of F
  22. Premises: "Some clerks are supervisors. All supervisors are managers." Which conclusion follows?
    (a) Some clerks are managers (b) All clerks are managers (c) No clerks are managers (d) All managers are clerks
  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: (10,100), (11,121), (12,140), (13,169)
    (a) (12,140) (b) (10,100) (c) (11,121) (d) (13,169)
  25. In a code language, "annual audit compliance report" is coded as "fu ka lo mo", "audit for departments" is coded as "lo ni ra", and "compliance for growth" is coded as "ka ni ta". What is the code for "compliance"?
    (a) ka (b) fu (c) lo (d) mo
  26. 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
  27. In a floor puzzle of 19 floors (ground=1, top=19), a person exactly midway between floor 9 and floor 19 lives on floor:
    (a) 14 (b) 13 (c) 15 (d) 14.5
  28. Choose the odd one out.
    (a) Rose (b) Tulip (c) Marigold (d) Cabbage
  29. If in a code, MANGO is coded as OCPIQ (shift forward by 2), how is APPLE coded?
    (a) CRRNG (b) CRRNF (c) CRQNG (d) BRRNG
  30. In a line of 65 people, Simran is 29th from the left. How many people are to her right?
    (a) 36 (b) 35 (c) 37 (d) 34
  31. Statement: All arsenals are secured. Some secured facilities are underground. Conclusion I: Some arsenals are underground. Conclusion II: All secured facilities are arsenals. 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: 12, 26, 54, 110, ?
    (a) 222 (b) 220 (c) 224 (d) 218
  34. In a row of 19 people facing north, if a person sits exactly in the middle, how many people are on each side?
    (a) 9 (b) 10 (c) 8 (d) 9.5
  35. Data Sufficiency: "Is t divisible by 9?" Statement I: t is divisible by 27. Statement II: t is divisible by 3. 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 ₹24,000 at 8% per annum for 4 years.
    (a) ₹7,680 (b) ₹7,500 (c) ₹7,850 (d) ₹7,300
  2. A shopkeeper sells an article for ₹1,050 at a profit of 5%. Find the cost price.
    (a) ₹1,000 (b) ₹990 (c) ₹1,010 (d) ₹980
  3. The average of 32 numbers is 42. If one number is removed, the average becomes 40 for the remaining 31. Find the removed number.
    (a) 104 (b) 100 (c) 108 (d) 96
  4. A sum of ₹319 is divided in the ratio 8:3. Find the larger part.
    (a) ₹232 (b) ₹225 (c) ₹238 (d) ₹220
  5. 31% of a number is 465. Find the number.
    (a) 1,500 (b) 1,480 (c) 1,520 (d) 1,460
  6. A car travels 200 km in 4 hours and then 240 km in 4 hours. Find the average speed for the whole journey.
    (a) 55 km/h (b) 53 km/h (c) 57 km/h (d) 50 km/h
  7. Find the compound interest on ₹30,000 for 2 years at 10% per annum, compounded annually.
    (a) ₹6,300 (b) ₹6,000 (c) ₹6,600 (d) ₹5,800
  8. Pipe A can fill a tank in 16 minutes and pipe B in 24 minutes. If both are opened together, how long will they take to fill the tank?
    (a) 9.6 minutes (b) 10 minutes (c) 9 minutes (d) 11 minutes
  9. A boat's speed in still water is 15 km/h and the stream flows at 6 km/h. Find the time to cover 126 km downstream.
    (a) 6 hours (b) 5 hours (c) 7 hours (d) 6.5 hours
  10. Find the next term in the series: 2, 16, 128, 1024, ?
    (a) 8,192 (b) 8,000 (c) 8,400 (d) 7,900
  11. An article with cost price ₹360 is sold for ₹540. Find the profit percentage.
    (a) 50% (b) 45% (c) 55% (d) 48%
  12. A is twice as old as B. Sixteen 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
  13. Solve for x: 12(x − 15) = 7x + 5.
    (a) 37 (b) 36 (c) 38 (d) 35
  14. Find the area of a rectangle with length 45 cm and breadth 28 cm.
    (a) 1,260 sq cm (b) 1,240 sq cm (c) 1,280 sq cm (d) 1,220 sq cm
  15. Two numbers are in the ratio 9:13. If their sum is 220, find the larger number.
    (a) 130 (b) 125 (c) 135 (d) 120
  16. A sum of ₹1,56,000 is divided between A and B such that A's share is 320% more than B's share. Find B's share.
    (a) ₹30,000 (b) ₹32,000 (c) ₹28,000 (d) ₹34,000
  17. Find the average of the first 160 natural numbers.
    (a) 80.5 (b) 80 (c) 81 (d) 79.5
  18. A marked price of ₹8,400 is discounted by 15%. Find the selling price.
    (a) ₹7,140 (b) ₹7,000 (c) ₹7,250 (d) ₹6,950
  19. Find the missing number in the series: 22, 46, 94, 190, ?
    (a) 382 (b) 378 (c) 386 (d) 374
  20. A invests ₹90,000 for 9 months and B invests ₹1,35,000 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 seven times itself in 48 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 441 sq cm.
    (a) 84 cm (b) 80 cm (c) 88 cm (d) 76 cm
  23. A train 260 m long crosses a pole in 13 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 − 17x + 72 = 0 (smaller root).
    (a) 8 (b) 9 (c) 7 (d) 6
  25. A shopkeeper marks an article 25% above cost price and gives a discount of 12%. Find the overall profit percentage.
    (a) 10% (b) 15% (c) 8% (d) 12%
  26. Find the average of the first 75 odd natural numbers.
    (a) 75 (b) 74 (c) 76 (d) 73
  27. A sum of ₹2,04,000 is divided between A and B such that A's share is 240% more than B's share. Find B's share.
    (a) ₹60,000 (b) ₹62,000 (c) ₹58,000 (d) ₹56,000
  28. Two pipes can fill a tank in 18 and 27 minutes respectively. A third pipe can empty it in 54 minutes. If all three are opened together, how long will it take to fill the tank?
    (a) 10.8 minutes (b) 12 minutes (c) 9 minutes (d) 11 minutes
  29. Find the next term: 11, 24, 50, 102, ?
    (a) 206 (b) 204 (c) 208 (d) 202
  30. A's income is 120% more than B's income. By what percentage is B's income less than A's income?
    (a) 54.5% (b) 50% (c) 58% (d) 45%
  31. Find the compound interest on ₹80,000 for 1 year at 10% per annum, compounded half-yearly.
    (a) ₹8,200 (b) ₹8,000 (c) ₹8,400 (d) ₹7,900
  32. A works seven times as fast as B. If B alone completes a task in 64 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: 40% of 225 + 15% of 300.
    (a) 135 (b) 130 (c) 140 (d) 125
  34. A sum of ₹1,00,000 is lent at 6% per annum simple interest. Find the amount after 4 years.
    (a) ₹1,24,000 (b) ₹1,22,000 (c) ₹1,26,000 (d) ₹1,20,000
  35. Find the next term: 8, 19, 41, 85, 173, ?
    (a) 349 (b) 346 (c) 352 (d) 344

Answer Key with Explanations

1.(a) Placing B, then A six seats to B's right, C opposite B, and D immediately left of C fixes D three seats to the left of A when traced around the circle.

2.(a) The man's wife's only brother is the girl's father, making the girl the man's niece.

3.(a) Each term follows ×2+3: 8×2+3=19, 19×2+3=41, 41×2+3=85, 85×2+3=173.

4.(a) Each letter shifts forward by one position: A→B, P→Q, P→Q, L→M, E→F.

5.(a) With J second from the left and K immediately to J's right, K sits third from the left.

6.(a) Whale, Dolphin, and Seal are mammals, while a Shark is a fish.

7.(a) All analysts are professionals, and all professionals are certified, so all analysts are certified follows validly.

8.(a) The southward and northward legs (13 km each) cancel out, leaving only the 7 km westward displacement.

9.(a) The natural sequence is: symptoms appear, diagnosis follows, treatment is given, then recovery.

10.(a) Each letter shifts forward by one position: J→K, U→V, P→Q, I→J, T→U, E→F, R→S.

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

12.(a) Statement I gives 8r=64, so r=8, a single definite value; Statement II alone only narrows r to positive even numbers, not a unique value.

13.(a) Position from the right = 75−30+1 = 46th.

14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 10×2+1=21, 21×2+2=44, 44×2+3=91, 91×2+4=186.

15.(a) A and C are B's children (siblings), and D is C's husband, making B the father-in-law (or mother-in-law) of D.

16.(a) Each pair's first letter advances by four (F, J, N, R, V) and the second letter advances by four (J, N, R, V, Z), giving VZ.

17.(a) All arsenals are secured facilities, and no secured facility is publicly accessible, so no arsenal is publicly accessible follows validly.

18.(a) G is one position above H, and H is eight positions above I, so G is 1+8=9 positions above I.

19.(a) Each letter shifts forward by seven positions: D→K, O→V, G→N.

20.(a) Rank from the first = 60−21+1 = 40th.

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

22.(a) Some clerks are supervisors, and all supervisors are managers, so some clerks are managers 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 (12,140), since 12²=144, not 140.

25.(a) "compliance" is common to "annual audit compliance report" and "compliance for growth"; comparing with "audit for departments" isolates "ka" as the code for "compliance".

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

27.(a) Midway between floor 9 and floor 19 is (9+19)/2 = 14.

28.(a) Rose, Tulip, and Marigold are flowers, while Cabbage is a vegetable.

29.(a) Each letter shifts forward by two positions: A→C, P→R, P→R, L→N, E→G.

30.(a) People to Simran's right = 65−29 = 36.

31.(a) The premises do not guarantee any arsenal is underground, and clearly not all secured facilities are arsenals, 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 follows ×2+2: 12×2+2=26, 26×2+2=54, 54×2+2=110, 110×2+2=222.

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