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 57 of 78
- A. 9!/(2!)2 3!
- B. 9!/(2!)3 3!
- C. 9!/(2!)2 (3!)2
- D. 5!/(2!)2 3!
Explanation: MESMERISE has 9 letters, with E repeated 3 times, M repeated 2 times and S repeated 2 times.
Correct answer: 9!/(2!)2 3!- A. 720
- B. 144
- C. 120
- D. 36
Explanation: MEADOWS has 3 vowels, E, A and O, and 4 consonants. Placing the vowels in the even positions 2, 4 and 6 gives 3!
Correct answer: 144- A. 3
- B. 6
- C. 24
- D. 120
Explanation: Fix N in the first position and A in the last position. The remaining letters O, K and I can be arranged in the three middle positions in…
Correct answer: 6- A. 8
- B. 8!
- C. 7!
- D. 7
Explanation: THURSDAY contains 8 distinct letters, so all of them can be arranged in 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ways.
Correct answer: 8!- A. 12
- B. 20
- C. 16
- D. 24
Explanation: TIME has 4 distinct letters, and forming a three-letter word without repetition gives 4P3 = 4 x 3 x 2 = 24 words.
Correct answer: 24- A. 870
- B. 435
- C. 30!
- D. 29! + 1Islamic Studies Quiz
Explanation: A handshake is determined by choosing 2 people from 30, so the count is 30 x 29 / 2 = 435; division by 2 avoids counting each pair twice.
Correct answer: 435- A. 120
- B. 720
- C. 4320
- D. 2160
Explanation: Treat the three vowels O, I and A as one block, giving 5 objects to arrange, which can be done in 5! ways.
Correct answer: 720- A. 40
- B. 400
- C. 5040
- D. 2520
Explanation: LOGARITHMS contains 10 distinct letters, and four positions can be filled without repetition in 10 x 9 x 8 x 7 = 5040 ways.
Correct answer: 50401129. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
- A. 63
- B. 90
- C. 126
- D. 45
Explanation: Choose 5 of the 7 men in 7C5 = 21 ways and 2 of the 3 women in 3C2 = 3 ways.
Correct answer: 63- A. 9
- B. 12
- C. 14
- D. 18
Explanation: There are 4! = 24 total arrangements. If A and B are together, treat them as one block, giving 3! x 2!
Correct answer: 12- A. One
- B. Zero
- C. Three
- D. Cannot be determined
Explanation: Picking one host from 12 people each month does not guarantee a fixed number of selections for any particular member, because the lots are…
Correct answer: Cannot be determined- A. 11
- B. 30
- C. 14
- D. 20
Explanation: Without the restriction, choose 1 male from 5 and 1 female from 3, giving 5 x 3 = 15 committees.
Correct answer: 14- A. 4
- B. 12
- C. 18
- D. None of these
Explanation: The principal must be chosen from the 2 eligible candidates, giving 2 choices.
Correct answer: None of these- A. 5
- B. 6
- C. 7
- D. 18
Explanation: There are 5C2 = 10 unrestricted pairs of subjects. The three invalid pairs are Mathematics 2 with commerce, economics or statistics…
Correct answer: 7- A. 36
- B. 81
- C. 91
- D. 116
Explanation: There are 6 x 6 x 6 = 216 outcomes for three dice. Outcomes with no 2 have 5 choices for each die, giving 5 x 5 x 5 = 125, so outcomes…
Correct answer: 91- A. 19
- B. 120
- C. 624
- D. 1024
Explanation: Each of the 4 questions has 5 choices, so there are 5 x 5 x 5 x 5 = 625 answer patterns.
Correct answer: 624- A. 120
- B. 240
- C. 360
- D. 480
Explanation: The six players can be arranged in 6! = 720 ways. Arrangements with Asim and Raheem together treat them as one block, giving 5! x 2!
Correct answer: 480- A. 5
- B. 6
- C. 7
- D. 8
Explanation: There are 5C3 = 10 groups of 3 boys. Groups containing both C and D are formed by choosing the third boy from A, B or E, so there are 3…
Correct answer: 7- A. 20
- B. 40
- C. 512
- D. 1024
Explanation: Each of the 10 questions has 2 possible answers, true or false, so the multiplication principle gives 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x…
Correct answer: 1024- A. 29
- B. 32
- C. 55
- D. 30
Explanation: Lines joining one point from each parallel line give 6 x 5 = 30 lines. The two original parallel lines add 2 more, so the total is 30 + 2…
Correct answer: 32