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Mathematics MCQs

In a test with 4 MCQs, each having 5 choices, how many answer patterns are possible?

  • A. 19
  • B. 120
  • C. 625
  • D. 1024
Explanation:
Total combinations = 5⁴ = 625.

In a party of 5 couples, 5 people are chosen. What is the probability of at least two couples?

  • A. 5/21
  • B. 5/14
  • C. 9/14
  • D. 16/21
Explanation:
Using combinations and the complement method gives 5/21.

In a kilometer race, A beats B by 50 m or 10 seconds. What is A’s time?

  • A. 200 sec
  • B. 190 sec
  • C. 210 sec
  • D. 150 sec
Explanation:
The ratio method gives A’s time as 190 sec.

In a journey of 24 miles, two-thirds of the distance is covered at 40 mph. Total time taken is ____.

  • A. 14.4 min
  • B. 20 min
  • C. 28.8 min
  • D. 32 min
Explanation:
Total time computed by segment speeds gives 32 minutes.

In a hostel, there were 100 students. If 20 more join and the average expense decreases by Rs. 5, what is the original average?

  • A. Rs. 5000
  • B. Rs. 4600
  • C. Rs. 5400
  • D. Rs. 2300
Explanation:
Using weighted average adjustment gives Rs. 5400.

In a hostel, food for 1200 boarders lasts one month. If borders are reduced, how long will it last?

  • A. 20 days
  • B. 30 days
  • C. 35 days
  • D. 50 days
Explanation:
With the same number, duration remains unchanged at 30 days.

In a hospital, injections last 15 days. If the number of patients increases, for how many days will they last?

  • A. 10
  • B. 15
  • C. 16
  • D. 12
Explanation:
Increased consumption reduces duration.

In a group of 60 children and 10 adults, each child gets sweets. Total sweets distributed are ____.

  • A. 1160
  • B. 1100
  • C. 1080
  • D. 1210
Explanation:
Calculated using ratio distribution.

In billiards, A gives B 20 points in 60 and C 30 points in 60. How many points does B give C?

  • A. 50
  • B. 40
  • C. 25
  • D. 15
Explanation:
Relative strength gives 25.

If food for 600 men lasts 30 days, how long for 1000 men?

  • A. 20 days
  • B. 18 days
  • C. 28 days
  • D. 36 days
Explanation:
(600×30)/1000 = 18 days.