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MCQ Practice

Mathematics MCQs

If the sum of roots of a quadratic Equation is 6 and product is 8, the Equation is ____.

  • A. x² − 6x + 8 = 0
  • B. x² + 6x + 8 = 0
  • C. x² − 8x + 6 = 0
  • D. x² + 8x + 6 = 0
Explanation:
Equation = x² − (sum)x + product.

If x² − 7x + 10 = 0, the product of roots is ____.

  • A. 7
  • B. 10
  • C. −10
  • D. −7
Explanation:
Product = c/a = 10.

If x² + 5x + 6 = 0, the sum of roots is ____.

  • A. −5
  • B. 5
  • C. −6
  • D. 6
Explanation:
Sum = −b/a = −5.

If x² − 10x + 21 = 0, roots are ____.

  • A. 3, 7
  • B. 2, 9
  • C. 1, 21
  • D. 5, 6
Explanation:
Factorization → (x−3)(x−7)=0.

If x² − 15x + 56 = 0, roots are ____.

  • A. 7, 8
  • B. 6, 9
  • C. 4, 14
  • D. 5, 11
Explanation:
Factorization → (x−7)(x−8)=0.

If x² − 13x + 36 = 0, roots are ____.

  • A. 4, 9
  • B. 6, 7
  • C. 3, 12
  • D. 2, 18
Explanation:
Factorization → (x−4)(x−9)=0.

If x² − 11x + 30 = 0, roots are ____.

  • A. 5, 6
  • B. 3, 10
  • C. 2, 15
  • D. 1, 30
Explanation:
Factorization → (x−5)(x−6)=0.

If x² + 5x + 6 = 0, roots are ____.

  • A. −2, −3
  • B. 2, 3
  • C. −1, −6
  • D. 1, 6
Explanation:
Factorization → (x+2)(x+3)=0.

If 2x² = 50, value of x is ____.

  • A. 5
  • B. ±5
  • C. 10
  • D. ±10
Explanation:
x² = 25 → x = ±5.

If 5x = 125, value of x is ____.

  • A. 20
  • B. 25
  • C. 30
  • D. 35
Explanation:
x = 125/5 = 25.