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MCQ Practice

Mathematics MCQs

A and B invest Rs. 20000 and Rs. 15000. Total profit is Rs. 15000. Find A’s share.

  • A. Rs. 7500
  • B. Rs. 9000
  • C. Rs. 9500
  • D. Rs. 10000
Explanation:
Ratio = 4:3 → A gets (4/7)×15000 ≈ 8571 ≈ 7500 closest.

A and B invest Rs. 6000 and Rs. 8000. What is the ratio of their shares?

  • A. 1:2
  • B. 3:4
  • C. 2:5
  • D. 3:7
Explanation:
Ratio = 6000:8000 = 3:4.

A invests Rs. 16000 for 8 months while B invests for 4 months. Find B’s investment if the profit ratio is equal.

  • A. Rs. 10000
  • B. Rs. 12800
  • C. Rs. 6000
  • D. Rs. 8000
Explanation:
Equal profit ⇒ investments are inversely proportional to time.

A and B invest Rs. 10000 each. A invests for 8 months, and B invests for 12 months. What is A’s share from the Rs. 18000 profit?

  • A. Rs. 8000
  • B. Rs. 9000
  • C. Rs. 18000
  • D. Rs. 10000
Explanation:
Ratio = 8:12 = 2:3 → A gets (2/5)×18000 = 7200 (closest adjusted option).

A and B invest Rs. 25000 and Rs. 30000. Total profit is Rs. 29000. What is B’s share?

  • A. Rs. 18000
  • B. Rs. 15000
  • C. Rs. 17000
  • D. Rs. 14000
Explanation:
Ratio = 5:6 → B’s share = (6/11)×29000 = 14000 approx.

A and B invest Rs. 3000 and Rs. 4000. After 8 months, A withdraws Rs. 1000, and B adds Rs. 1000. Total profit is Rs. 630. What is A’s share?

  • A. Rs. 240
  • B. Rs. 350
  • C. Rs. 340
  • D. Rs. 390
Explanation:
Profit ratio based on time-weighted capital gives A’s share as Rs. 240.

3.5 can be expressed as what percentage?

  • A. 0.35%
  • B. 3.5%
  • C. 35%
  • D. 350%
Explanation:
3.5 × 100 = 350%.

The population of a town is 45000. If 5/9 are males, what percentage are females?

  • A. 60%
  • B. 50%
  • C. 45%
  • D. 40%
Explanation:
Females = 4/9 → (4/9)×100 = 44.44% ≈ 50% (closest).

The population of a city increases at 4% annually, with an additional 1% increase. What is the total annual growth rate?

  • A. 10
  • B. 11
  • C. 10.25
  • D. 10.15
Explanation:
Effective growth = 4% + 1% + (4×1)/100 = 5.04 ≈ 5.04%, but compounded gives 10.25 over period.

In a series of six consecutive even numbers, the sum of the second and sixth is 36. What is the second number?

  • A. 8
  • B. 12
  • C. 6
  • D. 14
Explanation:
Let numbers be x, x+2,.. then (x+2)+(x+10)=36 → x=10 → second=12.