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Quant in CMAT 2025 Slot 2 Actual Questions

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CMAT 2025 Slot 2 – Full Quant Section

Quantitative Techniques and Data Interpretation (Full Set)

Instructions [1 – 3]: Study the bar-graph below showing bread packets sold by five stores.
  • Store A: Multigrain 92, Whole-wheat 44 | Store B: Multigrain 64, Whole-wheat 88
  • Store C: Multigrain 72, Whole-wheat 80 | Store D: Multigrain 54, Whole-wheat 40
  • Store E: Multigrain 84, Whole-wheat 72
Difficulty: Moderate
1. If another store ‘F’ sold multigrain packets (avg of C, D, E) and whole-wheat packets (avg of A, E). If store ‘B’ sold each at 240 and ‘F’ sold at 20% more, find total revenue of ‘F’.
  1. 24246
  2. 36864
  3. 28246
  4. ₹32684
Correct Option: B
Multigrain: (72+54+84)/3 = 70. Whole-wheat: (44+72)/2 = 58. Total = 128. Price = 240*1.2 = 288. Revenue = 128 * 288 = 36864.
Difficulty: Easy
2. Packets sold by store ‘C’ is approximately what percent more or less than store ‘E’?
  1. 3% more
  2. 3% less
  3. 5% more
  4. 5% less
Correct Option: B
Total C = 152. Total E = 156. % Diff = (152-156)/156 * 100 = -2.56% (approx 3% less).
Difficulty: Easy
3. Multigrain (A+B) are what percent more/less than Whole-wheat (C+D)?
  1. 25% more
  2. 25% less
  3. 30% less
  4. 30% more
Correct Option: D
Multigrain (A+B) = 156. Whole-wheat (C+D) = 120. % Increase = (156-120)/120 * 100 = 30%.
Difficulty: Hard
4. Probability that birthdays of 4 persons fall in exactly two calendar months:
  1. 77/1728
  2. 17/87
  3. 11/144
  4. 3/144
Correct Option: A
Ways: C(12,2) * (2^4 – 2) = 66 * 14 = 924. Total outcomes = 12^4 = 20736. Prob = 924/20736 = 77/1728.
Difficulty: Moderate
5. ΔPQR: XP=1.5, XQ=6, PY=2, YR=8. (I) QR=5XY, (II) ΔPYX ~ ΔPRQ.
  1. Both I and II are true
  2. Both false
  3. I true, II false
  4. I false, II true
Correct Option: A
Ratios: XP/PQ = 1.5/7.5 = 1/5. PY/PR = 2/10 = 1/5. Triangles similar by SAS, ratio is 1/5. Both true.
Difficulty: Hard
6. 15 watches (4 defective). Selected without replacement. Prob that 9th one is the last defective?
  1. 11/195
  2. 8/195
  3. 17/195
  4. 16/195
Correct Option: B
Require 3 defectives in first 8 and 1 defective at 9th. Prob = [C(4,3)*C(11,5) / C(15,8)] * [1/7] = 8/195.
Difficulty: Moderate
7. Class of 30: 1st/2nd in Math, 1st/2nd in Physics, 1st Chemistry, 1st English. Ways to give prizes?
  1. 30!/4!
  2. (30)^4 * (29)^4
  3. (30)^3-1
  4. (30)^4 * (29)^2
Correct Option: D
Math: 30*29. Physics: 30*29. Chem: 30. Eng: 30. Product = 30^4 * 29^2.
Difficulty: Moderate
8. Find values for A, B, C, D and arrange descending:
  1. D>C>A>B
  2. C>A>B>D
  3. D>C>B>A
  4. C>D>B>A
Correct Option: D
A=10, B=13, C=17, D=16. Order: C > D > B > A.
Difficulty: Hard
9. Ravi: 6 lakh loan. 8% CI (2 yrs), 10% CI (next 2 yrs). Repays half after first 2 yrs. Total returned?
  1. 7.733232 lakh
  2. ₹6.83231 lakh
  3. 7.58 lakh
  4. ₹7.336 lakh
Correct Option: A
End 2yr: 6*(1.08)^2 = 6.9984. Repay half: 3.4992. Remaining 3.4992 grown by (1.1)^2 = 4.234032. Total = 7.733232.
Difficulty: Moderate
10. Amit is 50% more efficient than Bhushan. Bhushan alone takes 30h. After 12h, Amit joins. Hours to finish?
  1. 6 hours
  2. 12 hours
  3. 4.8 hours
  4. 7.2 hours
Correct Option: D
Total work = 30. Remaining = 18. Speed = 1+1.5 = 2.5. Time = 18/2.5 = 7.2h.
Difficulty: Moderate
11. Cylindrical box (r=5) contains 10 spheres (r=5). Volume of empty space?
  1. 2500/3 π
  2. 5000 π
  3. 2500 π
  4. 5000/3 π
Correct Option: A
Cylinder h=100. Vol=2500π. 10 Spheres Vol=5000/3 π. Space = 2500π – 5000/3 π = 2500/3 π.
Difficulty: Easy
12. (I) Circumference ratio 3:4 -> Area ratio 9:16. (II) Circumference = Area -> Diameter = 4.
  1. Both true
  2. Both false
  3. I true
  4. II true
Correct Option: A
I: Area ratio is square of radius ratio (3:4)^2 = 9:16. II: 2πr = πr^2 -> r=2 -> d=4. Both True.
Difficulty: Moderate
13. Match List I with List II:
A. 4a=5b, 7b=9cII. 45:36:28
B. A=1/4 B, B=1/2 CIII. 1:4:8
C. P:Q:R=2:3:4, find P/Q:Q/R:R/PIV. 8:9:24
D. a/7=b/9=c/11I. 7:9:11
  1. A-IV, B-II, C-I, D-III
  2. A-IV, B-III, C-I, D-II
  3. A-II, B-III, C-I, D-IV
  4. A-II, B-III, C-IV, D-I
Correct Option: D
A matches II, B matches III, C matches IV, D matches I.
Difficulty: Moderate
14. 3 vessels of volume V. P(4:1), Q(7:3), R(Pure Milk). Poured into S. 30L drawn, 40L water left. V?
  1. 80
  2. 85
  3. 90
  4. 95
Correct Option: C
Initial Water = 0.2V + 0.3V = 0.5V. Water in S ratio = 0.5V/3V = 1/6. Left: 0.5V – (1/6*30) = 40 -> 0.5V=45 -> V=90.
Difficulty: Moderate
15. Candidates: 60% men. Cleared Qual: 70%M, 75%W. Cleared Final: 80%M, 70%W. Find correct: (B) More men cleared, (C) Success rate higher for men.
  1. A only
  2. A & D only
  3. B & D only
  4. B & C only
Correct Option: D
Men cleared: 0.6*0.7*0.8 = 33.6%. Women: 0.4*0.75*0.7 = 21%. Rate M: 56%. Rate W: 52.5%. B & C true.
Difficulty: Hard
16. Arrange in descending order: A(√401-√399), B(√301-√299), C(√101-√99), D(√201-√199).
  1. C>A>B>D
  2. D>C>B>A
  3. C>B>A>D
  4. C>D>B>A
Correct Option: D
Rationalizing: 2/(√n+1 + √n-1). Larger n means smaller value. Descending: C > D > B > A.
Difficulty: Moderate
17. Value of indices expression (x^a/x^b)^(a^2+ab+b^2) …
  1. -1
  2. x^abc
  3. 1
  4. 2x^(a+b+c)
Correct Option: C
Result is x^(a^3-b^3 + b^3-c^3 + c^3-a^3) = x^0 = 1.
Difficulty: Easy
18. Sold for 136 (15% loss). To get 15% profit, sold for x. Range?
  1. 190-200
  2. 180-190
  3. 170-180
  4. 160-170
Correct Option: B
CP = 136/0.85 = 160. SP = 160 * 1.15 = 184. Range 180-190.
Difficulty: Hard
19. SP1=18750, SP2=14250. CP same. Prof1% = 5 * Loss2%. Overall profit?
  1. 15%
  2. 14%
  3. 12%
  4. 10%
Correct Option: D
(18750-C) = 5(C-14250) -> 6C=90000 -> C=15000. Total CP=30k, SP=33k. Profit=10%.
Difficulty: Easy
20. Length increases 25%. Breadth decrease % to keep area same?
  1. 20%
  2. 25%
  3. 30%
  4. 40%
Correct Option: A
1.25 * b = 1 -> b = 0.8. Decrease = 20%.

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