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Mathematics MCQs

Three years ago, the average age of 6 members was 19. Find the present age of a boy.

  • A. 1 year
  • B. 1.5 years
  • C. 2 years
  • D. 2.5 years
Explanation:
Total age difference method.

Pipes A, B, C fill tank in 12, 15, 20 houRs. If A alone works, time required is ____.

  • A. 6 hrs
  • B. 6⅔ hrs
  • C. 7 hrs
  • D. 7½ hrs
Explanation:
Based on the given combination.

Pipes A, B, C fill tank in 12, 15, 20 houRs. Find time together.

  • A. 6 hours
  • B. 6⅔ hours
  • C. 7 hours
  • D. 7½ hours
Explanation:
Combined rate method.

Three pipes of equal capacity fill a tank in 8 houRs. Two pipes will take ____.

  • A. 17 hours
  • B. 12 hours
  • C. 16 hours
  • D. 24 hours
Explanation:
Work is inversely proportional.

Three pipes fill a tank in 6 houRs. After 2 hours, one is closed. Remaining time is ____.

  • A. 10
  • B. 12
  • C. 14
  • D. 16
Explanation:
Work-rate adjustment.

Three pipes, A, B, and C, fill the tank in 30, 20, and 15 minutes, respectively. Together they fill in ____.

  • A. 5/11
  • B. 6/11
  • C. 7/11
  • D. 8/11
Explanation:
Combined rate calculation.

Three persons invest Rs. 9000. Second invests Rs. 3000. Profit share of first is ____.

  • A. Rs. 2400
  • B. Rs. 3600
  • C. Rs. 2850
  • D. Rs. 2000
Explanation:
Profit shares are proportional to investment.

Three numbers are co-prime. The product of the first two is 551. Find the third.

  • A. 75
  • B. 81
  • C. 85
  • D. 89
Explanation:
Factorization approach.

Three men walk around a circular track of 11 km. Find a time for them to meet again.

  • A. 11 hours
  • B. 12 hours
  • C. 220 hours
  • D. 22 hours
Explanation:
LCM of time intervals.

Three flags of different coloRs. Number of signals using 1 or more flags is ____.

  • A. 6
  • B. 9
  • C. 15
  • D. 18
Explanation:
Total combinations excluding empty = 2³ −1.