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 16 of 78

  • A. 5
  • B. 6
  • C. 7
  • D. 12

Explanation: Let the smaller number be x, so the larger number is x + 5. Their sum gives x + (x + 5) = 19, so 2x = 14 and x = 7.

Correct answer: 7
  • A. 12,16
  • B. 18,10
  • C. 15,13
  • D. 14,12

Explanation: Let the larger number be x and the smaller be y. From x + y = 28 and x - y = 4, adding the equations gives 2x = 32, so x = 16 and y = 12.

Correct answer: 12,16
  • A. 0
  • B. -2
  • C. 2
  • D. 1

Explanation: Division and multiplication are done before addition and subtraction, from left to right: 2 + 2 ÷ 2 × 2 - 2 = 2 + 1 × 2 - 2 = 2.

Correct answer: 2
  • A. a = b
  • B. a ≠ b
  • C. Cannot be evaluated
  • D. None

Explanation: The statements a > b and b > a cannot both be true for ordinary real numbers, because greater-than is asymmetric.

Correct answer: Cannot be evaluated
  • A. Rs. 2800
  • B. Rs. 2100
  • C. Rs. 4200
  • D. Rs. 8400

Explanation: Let one mixer cost m rupees and one TV cost t rupees. From 2m + t = Rs. 7,000 and m + 2t = Rs. 9,800, subtraction gives t - m = Rs.

Correct answer: Rs. 4200
  • A. 2
  • B. 3
  • C. 1/2
  • D. 14

Explanation: From 17xy + 7 = 19xy, subtract 17xy to get 7 = 2xy, so xy = 7/2. Therefore, 4xy = 4 × 7/2 = 14.

Correct answer: 14
  • A. 19
  • B. 20
  • C. 21
  • D. 22Pakistan Studies Quiz

Explanation: Let Khadija's current age be x years. After one year her age is x + 1 years, and ten years ago it was x − 10 years, so x + 1 = 2(x − 10)…

Correct answer: 21
  • A. 26
  • B. 35
  • C. 53
  • D. Cannot be determined

Explanation: Let the original two-digit number be 10a + b. Interchanging the digits changes it by 9(b - a), so 9(b - a) = 18 and b - a = 2; together…

Correct answer: 35
  • A. 18
  • B. 24
  • C. 42
  • D. 81

Explanation: The digit product 8 allows the two-digit arrangements 24 and 42. Testing the reversal condition, 24 + 18 = 42, so 24 is the required…

Correct answer: 24
  • A. 14
  • B. 20
  • C. 26
  • D. 28

Explanation: Let the number be n. The statement means that multiplying it by 15 gives a result 196 greater than the number, so 15n = n + 196; hence 14n…

Correct answer: 14
  • A. 104
  • B. 114
  • C. 315
  • D. 325

Explanation: Let the numbers be x and y. From x + y = 25 and x - y = 13, adding the equations gives 2x = 38, so x = 19 and y = 6; their product is 19 x…

Correct answer: 114
  • A. 9
  • B. 12
  • C. 15
  • D. 18

Explanation: Let the larger and smaller numbers be x and y. Adding x + y = 33 and x - y = 15 gives 2x = 48, so x = 24; therefore y = 33 - 24 = 9.

Correct answer: 9
  • A. 10 Rs,
  • B. 15 Rs,
  • C. 20 Rs.
  • D. 25 Rs.

Explanation: Let the daily earnings be A, B and C rupees. Subtracting A + C = Rs.94 from A + B + C = Rs.150 gives B = Rs.56; then B + C = Rs.76 gives C…

Correct answer: 20 Rs.
  • A. 432
  • B. 288
  • C. 144
  • D. 72
  • E. None of these

Explanation: Let n be the number of each type of coin. The total value is n x Rs.5 + n x Rs.2 + n x Rs.1 = 8n rupees, so 8n rupees = Rs.1,152 and n =…

Correct answer: 144
  • A. 4
  • B. 5
  • C. 6
  • D. 8
  • E. None of these

Explanation: Let Arslan have A marbles and Bilal have B marbles. If Bilal gives x marbles, A + x = B - x, so B - A = 2x; if Arslan gives 2x marbles, B…

Correct answer: 5
  • A. Rs.25
  • B. Rs.22.50
  • C. Rs.20
  • D. Rs.17.50
  • E. None of these

Explanation: The known cost is 16 x Rs.6 + 5 x Rs.45 + 7 x Rs.70 = Rs.811. The six ice-cream cups therefore cost Rs.961 - Rs.811 = Rs.150, so each…

Correct answer: Rs.25
  • A. 30
  • B. 46
  • C. 40
  • D. 44
  • E. None of these

Explanation: Let rabbits be r and peacocks be p, both counts of animals. From r + p = 60 and 4r + 2p = 192, doubling the first equation gives 2r + 2p =…

Correct answer: None of these
  • A. 600
  • B. 620
  • C. 500
  • D. 520
  • E. None of these

Explanation: If there are n children, the total supply is 2n bananas. After 360 children are absent, each of the n - 360 children receives 4 bananas…

Correct answer: None of these
  • A. 30 years
  • B. 40 years
  • C. 32 years
  • D. 48 years
  • E. None of these

Explanation: Let present ages be Z years and S years. The two conditions are Z - 8 = 4(S - 8)/3 and Z + 8 = 6(S + 8)/5; solving them gives S = 32 years…

Correct answer: 40 years
  • A. 60
  • B. 56
  • C. 64
  • D. 74
  • E. None of these

Explanation: If there are x 50-paisa coins, there are 93 - x one-rupee coins. Their value is Rs.0.50x + Rs.1(93 - x) = Rs.56, so 93 - 0.50x = 56 and x…

Correct answer: 74