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 56 of 78
- A. 5/36
- B. 4/36
- C. 1/12
- D. 1/2
Explanation: Two dice have 36 equally likely outcomes, and a sum of 8 occurs in five ways: (2,6), (3,5), (4,4), (5,3) and (6,2).
Correct answer: 5/36- A. 22
- B. 32
- C. 11
- D. 19
Explanation: The terms follow an alternating pattern: 4 + 4 = 8, 8 + 1 = 9, 9 + 4 = 13, 13 + 1 = 14, and 14 + 4 = 18.
Correct answer: 19- A. 4970
- B. 4950
- C. 4900
- D. 4980
Explanation: The first 70 even numbers are 2, 4, ..., 140, which can be written as 2(1 + 2 + ... + 70). Since 1 + 2 + ...
Correct answer: 4970- A. 4900
- B. 4970
- C. 4960
- D. None of these
Explanation: The sum of the first n odd numbers is n² because the terms form 1 + 3 + 5 + ... + (2n - 1). For n = 70, the sum is 70² = 4,900.
Correct answer: 4900- A. 36
- B. 40
- C. 46
- D. 52
Explanation: The successive differences are 5, 7, 9 and 11, increasing by 2 each time. The next difference is therefore 13, giving 33 + 13 = 46.
Correct answer: 46- A. 6
- B. 9
- C. 15
- D. 18
Explanation: With three distinct flags, single-flag codes give 3 arrangements, two-flag codes give 3P2 = 3 x 2 = 6 arrangements, and three-flag codes…
Correct answer: 15- A. 6
- B. 24
- C. 96
- D. 720
Explanation: The terms follow factorials: 1, 1, 2, 6, 24, 120, 720, so the sixth term should be 5! = 120, not 96.
Correct answer: 96- A. Asteroid
- B. Star
- C. Planet
- D. Comet
- E. Rocket
Explanation: Asteroids, stars, planets and comets are naturally occurring astronomical objects, whereas a rocket is a human-made vehicle.
Correct answer: Rocket- A. 9, 11, 13
- B. 11, 13, 15
- C. 13, 15, 17
- D. 7, 9, 11
- E. None of these
Explanation: Let the three consecutive odd integers be x, x + 2 and x + 4. Their condition gives (x + 2) + (x + 4) = x + 13, so x = 7 and the integers…
Correct answer: 7, 9, 11- A. 74
- B. 76
- C. 70
- D. 68
- E. None of these
Explanation: Let the smallest consecutive even number be x; the four numbers are x, x + 2, x + 4 and x + 6.
Correct answer: 70- A. 248
- B. 240
- C. 228
- D. 236
- E. None of these
Explanation: Let the least number in the five consecutive even numbers be x. Then 5x + 20 = 440, so x = 84; the second least number of the different…
Correct answer: 240- A. 8
- B. 12
- C. 6
- D. 14
- E. None of these
Explanation: Write the six consecutive even numbers as x, x + 2, x + 4, x + 6, x + 8 and x + 10.
Correct answer: 12- A. 63
- B. 511
- C. 1023
- D. 15
Explanation: Each of the five problems has four possibilities: not attempted or one of three internal choices.
Correct answer: 1023- A. 25
- B. 13
- C. 40
- D. 30
Explanation: TRIANGLE has 5 consonants, T, R, N, G and L, and 3 vowels, I, A and E. The number of selections is 5C3 x 3C2 = 10 x 3 = 30 ways.
Correct answer: 30- A. ⁹C₂
- B. ³C₂
- C. ¹⁶C₂
- D. ¹²C₂
Explanation: There are 9 + 3 + 4 = 16 balls in total, and drawing two balls without regard to order gives 16C2 = (16 x 15)/2 = 120 ways.
Correct answer: ¹⁶C₂- A. 60
- B. 360
- C. 120
- D. 240
Explanation: Only 2 is even, so the units place is fixed as 2. The remaining three places can be filled from the other 5 digits in 5 x 4 x 3 = 60 ways.
Correct answer: 60- A. 360
- B. 60
- C. 300
- D. 180
Explanation: There are 6 distinct digits and repetition is not allowed, so the four places can be filled in 6 x 5 x 4 x 3 = 360 ways.
Correct answer: 360- A. 216
- B. 243
- C. 215
- D. 729Downloading Interactive Party Trivia Games
Explanation: Each of the three rings has 6 choices, so the lock has 6 x 6 x 6 = 216 total combinations.
Correct answer: 215- A. 165
- B. 185
- C. 205
- D. 225
Explanation: There are 5 + 6 = 11 committee members, and selecting 8 without regard to order gives 11C8 = 11C3 = (11 x 10 x 9)/(3 x 2 x 1) = 165 ways.
Correct answer: 165- A. 150
- B. 200
- C. 250
- D. 300
Explanation: Choose 2 men from 5 and 3 women from 6: 5C2 x 6C3 = 10 x 20 = 200 ways.
Correct answer: 200