Class 12 Mathematics Practice Questions

400 free practice MCQs for Class 12 Mathematics, following the school syllabus — playable as an adaptive quiz in English, Hindi, Tamil, Telugu, Bengali and 8 more Indian languages. No sign-up, no ads.

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Sample questions with answers

Q1. Two events A and B are mutually exclusive if: 📐

  1. P(A ∪ B) = 1
  2. P(A) + P(B) = 2
  3. P(A ∩ B) = 0
  4. P(A) = P(B)
Show answer

C. P(A ∩ B) = 0

Q2. det[[1, 3], [2, 2]] = ? 🔢

  1. -4
  2. -5
  3. -8
  4. -14
Show answer

A. -4

Q3. det[[6, −2], [−1, 8]] = ? 🔢

  1. 46
  2. 92
  3. 48
  4. 36
Show answer

A. 46

Q4. det[[2, 5], [−2, 2]] = ? 🔢

  1. 19
  2. 14
  3. -14
  4. 16
Show answer

B. 14

Q5. det[[−2, 7], [5, 4]] = ? 🔢

  1. -33
  2. -43
  3. -45
  4. 43
Show answer

B. -43

Q6. det[[9, 2], [−4, −1]] = ? 🔢

  1. -1
  2. -2
  3. 1
  4. -17
Show answer

A. -1

Q7. det[[6, −4], [−2, −1]] = ? 🔢

  1. -14
  2. -24
  3. 2
  4. -28
Show answer

A. -14

Q8. det[[−5, 3], [4, −4]] = ? 🔢

  1. -8
  2. -2
  3. 9
  4. 8
Show answer

D. 8

Q9. det[[8, −1], [5, 0]] = ? 🔢

  1. 5
  2. 3
  3. 6
  4. -5
Show answer

A. 5

Q10. det[[2, −4], [6, −3]] = ? 🔢

  1. 18
  2. 16
  3. 17
  4. 19
Show answer

A. 18

Q11. det[[−4, 9], [2, −3]] = ? 🔢

  1. -6
  2. 30
  3. -5
  4. -12
Show answer

A. -6

Q12. det[[9, 9], [2, 6]] = ? 🔢

  1. 31
  2. 46
  3. 41
  4. 36
Show answer

D. 36

Q13. det[[1, 5], [2, −4]] = ? 🔢

  1. -19
  2. 6
  3. -14
  4. -15
Show answer

C. -14

Q14. det[[9, −5], [2, 4]] = ? 🔢

  1. 45
  2. 47
  3. 44
  4. 46
Show answer

D. 46

Q15. det[[8, 5], [1, 8]] = ? 🔢

  1. 58
  2. 61
  3. 59
  4. 49
Show answer

C. 59

Q16. det[[8, 7], [8, 7]] = ? 🔢

  1. 1
  2. -1
  3. 10
  4. 0
Show answer

D. 0

Q17. det[[−1, −4], [−3, −1]] = ? 🔢

  1. -6
  2. 11
  3. -10
  4. -11
Show answer

D. -11

Q18. det[[3, 1], [4, 5]] = ? 🔢

  1. 10
  2. 11
  3. 1
  4. 12
Show answer

B. 11

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