Free Arithmetic MCQs with Answers

1,060 Arithmetic MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Arithmetic applies numerical operations to percentages, ratios, proportions, profit and loss, averages, and practical rate problems. Questions also involve time, speed and distance, and time and work, requiring careful use of units, direct and inverse relationships, weighted values, and work-rate methods rather than algebraic manipulation.

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1,060 questions · page 42 of 53

  • A. 70, 50
  • B. 60, 60
  • C. 50, 70
  • D. 40, 80

Explanation: Let the numbers of boys and girls be b and g. Then b + g = 120 students and 2b + 3g = 300 chocolates; subtracting 2(b + g) = 240…

Correct answer: 60, 60
  • A. 5 : 1
  • B. 4 : 1
  • C. 3 : 2
  • D. 2 : 1Downloading Interactive Party Trivia Games

Explanation: Let the amounts at 7% and 10% be x rupees and y rupees. Then x + y = 6000 rupees and 0.07x + 0.10y = 450 rupees; using x = 6000 - y gives…

Correct answer: 5 : 1
  • 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
  • A. 10 days
  • B. 12 days
  • C. 8 days
  • D. 9 days

Explanation: C completes half the work in 6 days, so C's rate is 1/12 of the work per day; in 4 days C completes 4/12 = 1/3 of the work, leaving 2/3.

Correct answer: 10 days