All Free Mathematics MCQs with Answers

Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

1,551 questions · page 59 of 78

  • A. 245
  • B. 125
  • C. 485
  • D. 845

Explanation: Since 5 plants remain for rows of 6, 8, 10 and 12, the number minus 5 must be a multiple of LCM(6, 8, 10, 12) = 120.

Correct answer: 845
  • A. 18, 20, 22
  • B. 20, 22, 24
  • C. 22, 24, 26
  • D. 24, 26, 28

Explanation: The sum for 20, 22, and 24 is 20² + 22² + 24² = 400 + 484 + 576 = 1460.

Correct answer: 20, 22, 24
  • A. Al-Khwarizmi
  • B. Aristotle
  • C. Herodotus
  • D. Isaac Newton

Explanation: Isaac Newton is commonly called one of the fathers of calculus because he developed differential and integral methods independently of…

Correct answer: Isaac Newton
  • A. 45 hours
  • B. 47 hours
  • C. 48 hours
  • D. 50 hours

Explanation: The basic hourly rate is Rs. 20 / 40 hours = Rs. 0.50 per hour, so the overtime rate is Rs. 0.50 x 1.25 = Rs. 0.625 per hour.

Correct answer: 48 hours
  • A. 12
  • B. 15
  • C. 22
  • D. 20

Explanation: P's rate is 1/15 job per day and Q's rate is 1/10 job per day. In 2 days they complete 2/15 + 2/10 = 1/3 of the job, leaving 2/3; P takes…

Correct answer: 12
  • A. 18 days
  • B. 22 ½ days
  • C. 24 days
  • D. 26 days

Explanation: If B's rate is r jobs per day, A's rate is 3r jobs per day, so their times are 1/r days and 1/(3r) days.

Correct answer: 22 ½ days
  • A. 3 hrs.
  • B. 4 hrs,
  • C. 5 hrs.
  • D. 6 hrs.Education

Explanation: Tap X fills 1/10 tank per hour and tap Y fills 1/15 tank per hour. Together their rate is 1/10 + 1/15 = 1/6 tank per hour, so the filling…

Correct answer: 6 hrs.Education
  • A. 12 days
  • B. 14 days
  • C. 16 days
  • D. 18 days

Explanation: Since 3 men and 4 women do the same work in 43 days, 4 women have the work rate of 3 men, so one woman equals 3/4 of a man's rate.

Correct answer: 12 days
  • A. 1.8 days
  • B. 1.5 days
  • C. 1.2 days
  • D. 1 day

Explanation: Six men working for 2 days provide 6 x 2 = 12 man-days to make 10 sofas, so each sofa requires 12/10 = 1.2 man-days.

Correct answer: 1.2 days
  • A. 1
  • B. 5
  • C. 10
  • D. 25

Explanation: The original task uses 10 workers x 10 days = 100 worker-days to make 10 tables, so each table requires 10 worker-days.

Correct answer: 10
  • A. 2 men
  • B. 12 men
  • C. 9 men
  • D. 18 men

Explanation: The total work is 6 men x 9 days = 54 man-days. To finish the same 54 man-days in 3 days requires 54/3 = 18 men.

Correct answer: 18 men
  • A. Rs.1104
  • B. Rs.1000
  • C. Rs.934
  • D. Rs.1210

Explanation: Let one goat's daily cost be g rupees, so one cow's daily cost is 5g rupees.

Correct answer: Rs.1104
  • A. 50
  • B. 30
  • C. 40
  • D. 13

Explanation: Let a man's rate be m jobs per day and a woman's rate be w jobs per day.

Correct answer: 40
  • A. 10 days
  • B. 14 days
  • C. 15 days
  • D. 9 days

Explanation: P's rate is 1/20 job per day, while Q and R add 1/30 + 1/60 = 1/20 job per day on every third day.

Correct answer: 15 days
  • A. 10 min
  • B. 20 min
  • C. 30 min
  • D. 40 min

Explanation: For the first 10 minutes, the two pipes fill 10 x (1/20 + 1/60) = 10/15 = 2/3 of the tank.

Correct answer: 20 min
  • A. 15 days
  • B. 14 days
  • C. 16 days
  • D. 30 days

Explanation: A is three times as efficient as B, so A's time is one-third of B's time.

Correct answer: 15 days
  • A. 6 days
  • B. 8 days
  • C. 10 days
  • D. 12 days

Explanation: If one man's rate is m jobs per day, each child's rate is m/2 jobs per day because a child takes twice as long.

Correct answer: 12 days
  • A. 48 days
  • B. 24 days
  • C. 40 days
  • D. 36 days

Explanation: The work is proportional to wall length and the number of man-days. For 500 m, the work is 15 men x 30 days = 450 man-days, so for 1,200…

Correct answer: 36 days
  • A. 24 days
  • B. 14 days
  • C. 15 days
  • D. 20 days

Explanation: The total work is 28 men x 15 days = 420 man-days. Therefore, 21 men need 420 man-days ÷ 21 men = 20 days.

Correct answer: 20 days