TestUstad

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.

Last updated

PercentagesRatio and ProportionProfit and LossAveragesTime, Speed and DistanceTime and Work

1,060 questions · page 37 of 53

721. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = _____________?

  • A. 3 9/13
  • B. 1 9/11
  • C. 2 11/72
  • D. None of these

Explanation: Convert the mixed numbers and use denominator 72: 3 7/8 - 2 1/3 + 1 7/9 = 31/8 - 7/3 + 16/9 = 239/72.

Read the full explanation →
Correct answer: None of these

722. Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?

  • A. x = 4, y = 8
  • B. x = 4, y = 4
  • C. x = 2, y = 4
  • D. x = 8, y = 4

Explanation: Test the mixed-number equation using the proposed values x = 8 and y = 4: (3 + 1/8)(4 + 2/5) = 25/8 x 22/5 = 550/40 = 55/4 = 13 3/4.

Read the full explanation →
Correct answer: x = 8, y = 4

723. If (461 + 462 + 463 + 464) is divisible by ?, then ? =_____________?

  • A. 3
  • B. 11
  • C. 13
  • D. None of these

Explanation: The sum is 461 + 462 + 463 + 464 = 1850. It is not divisible by 3 because its digit sum is 14, not by 11 because 11 x 168 = 1848, and not…

Read the full explanation →
Correct answer: None of these

724. (84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓

  • A. 100
  • B. 300
  • C. 90,000
  • D. 10,000Fun & Trivia

Explanation: Evaluate the division from left to right: 84 ÷ 14 ÷ 2 ÷ 9 = 6 ÷ 2 ÷ 9 = 3 ÷ 9 = 1/3. Therefore (1/3) × ? = 33 1/3 = 100/3, so ?

Read the full explanation →
Correct answer: 100

725. The Ratio of the length and breadth of a plot is 3:2 .If the breadth is 40m less than the what is the parameter of the plot?

  • A. 480m
  • B. 320m
  • C. 400m
  • D. 450m

Explanation: Let the length and breadth be 3k metres and 2k metres. Their difference is k metres, and it is given as 40 metres, so k = 40 metres; the…

Read the full explanation →
Correct answer: 400m

726. The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?

  • A. 50%
  • B. 60%
  • C. 40%
  • D. 64%

Explanation: Areas of circles are proportional to the squares of their radii, so the area ratio is 3²:5² = 9:25.

Read the full explanation →
Correct answer: 64%

727. The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is_________?

  • A. 1:3
  • B. 1:6
  • C. 1:9
  • D. 1:5

Explanation: Circle area varies as the square of radius. Squaring the radius ratio 1:3 gives areas 1²:3² = 1:9.

Read the full explanation →
Correct answer: 1:9

728. Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?

  • A. 101
  • B. 103
  • C. 107
  • D. 113

Explanation: If two numbers leave the same remainder, their difference must be exactly divisible by the required divisor.

Read the full explanation →
Correct answer: 103

729. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?

  • A. 17
  • B. 29
  • C. 23
  • D. 31

Explanation: 7429 = 17 x 19 x 23, so these are the first three primes. Since 12673 = 19 x 23 x 29, the fourth prime is 12673 ÷ (19 x 23) = 29.

Read the full explanation →
Correct answer: 29

730. A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

  • A. 50
  • B. 36
  • C. 24
  • D. 12

Explanation: The largest equal box capacity is the HCF of the three quantities because each quantity must be divided into whole boxes without mixing.

Read the full explanation →
Correct answer: 12

731. A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.

  • A. 51
  • B. 61
  • C. 47
  • D. 45

Explanation: To minimise the number of equal casks, use the greatest common capacity: HCF(435 L, 493 L, 551 L) = 29 L.

Read the full explanation →
Correct answer: 51

732. Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?

  • A. 53
  • B. 112
  • C. 108
  • D. 106

Explanation: If the remainders are equal, the greatest divisor must divide the differences between the numbers.

Read the full explanation →
Correct answer: 106

733. Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?

  • A. 12
  • B. 18
  • C. 24
  • D. 32Everyday Science Quiz

Explanation: A divisor giving the same remainder to all three numbers must divide their pairwise differences.

Read the full explanation →
Correct answer: 24

734. In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are______?

  • A. 700,400
  • B. 820,360
  • C. 800,500
  • D. 820,369

Explanation: Work backwards through the Euclidean algorithm with final divisor 41. The pair 820 and 369 gives 820 = 2 x 369 + 82, 369 = 4 x 82 + 41…

Read the full explanation →
Correct answer: 820,369

735. Least perfect square number, exactly divisible by 21, 36 and 56 is_________?

  • A. 3600
  • B. 504
  • C. 441
  • D. 7056

Explanation: The LCM of 21, 36 and 56 is 2^3 x 3^2 x 7 = 504. To make this a perfect square, the odd power of 2 must be supplied by another factor of…

Read the full explanation →
Correct answer: 7056

736. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is_______?

  • A. 36
  • B. 66
  • C. 132
  • D. 264

Explanation: For two numbers, product = HCF x LCM. Thus the product is 12 x 396 = 4752, and the other number is 4752 ÷ 36 = 132.

Read the full explanation →
Correct answer: 132

737. Find the least number of five digits which is exactly divisible by 12, 15 and 18?

  • A. 1080
  • B. 10080
  • C. 10025
  • D. 11080

Explanation: The LCM of 12, 15 and 18 is 180. The first five-digit multiple is 180 x 56 = 10080, because 180 x 55 = 9900 is still four digits.

Read the full explanation →
Correct answer: 10080

738. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is_______?

  • A. 31
  • B. 41
  • C. 51
  • D. 61

Explanation: The number must leave remainder 1 when divided by 2, 3 and 5, so it is 1 more than a multiple of LCM(2, 3, 5) = 30.

Read the full explanation →
Correct answer: 31

739. The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is__________?

  • A. 1439
  • B. 1440
  • C. 1459
  • D. 1449Pakistan Studies Quiz

Explanation: If the number increased by 1 is divisible by all the given numbers, first find their LCM: LCM(12, 18, 24, 32, 40) = 1440.

Read the full explanation →
Correct answer: 1439

740. The least number of five digits that have 144 their HCF is__________?

  • A. 10085
  • B. 10080
  • C. 10075
  • D. 10070

Explanation: The least five-digit multiple of 144 is found by taking the first multiple at or above 10000: 144 x 69 = 9936, while 144 x 70 = 10080.

Read the full explanation →
Correct answer: 10080
Start Free Arithmetic Practice MCQs Test