MCQs of Quadratic Equation

Most Important MCQs of Quadratic Equation with Answers and Solutions for Mathematics test preparation online.

MCQs of Quadratic Equation

Find the roots of the quadratic equation: x2 + 2x – 15 = 0?

A. -5, 3
B. 3, 5
C. -3, 5
D. -3, -5

Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?

A. 3, -3/2
B. 3/2, -3
C. -3/2, -3
D. 3/2, 3

The roots of the equation 3x² – 12x + 10 = 0 are?

A. rational and unequal
B. complex
C. real and equal
D. irrational and unequal

If the roots of a quadratic equation are 20 and -7, then find the equation?

A. x2 + 13x – 140 = 0
B. x2 – 13x + 140 = 0
C. x2 – 13x – 140 = 0
D. x2 + 13x + 140 = 0

The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?

A. 10, 3
B. -10, 3
C. -20, 3
D. -10, -3

If the roots of the equation 2x² – 5x + b = 0 are in the ratio of 2:3, then find the value of b?

A. 3
B. 4
C. 5
D. 6

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

A. 9, 10
B. 10, 11
C. 11, 12
D. 12, 13

One root of the quadratic equation x² – 12x + a = 0, is thrice the other. Find the value of a?

A. 29
B. 27
C. 28
D. 7

The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

A. 18, 20, 22
B. 20, 22, 24
C. 22, 24, 26
D. 24, 26, 28

If a and b are the roots of the equation x² – 9x + 20 = 0, find the value of a² + b² + ab?

A. -21
B. 1
C. 61
D. 21

Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x² + 8x + 4 = 0?

A. 15
B. 14
C. 24
D. 26

Find the quadratic equations whose roots are the reciprocals of the roots of 2x² + 5x + 3 = 0?

A. 3x² + 5x – 2 = 0
B. 3x² + 5x + 2 = 0
C. 3x² – 5x + 2 = 0
D. 3x² – 5x – 2 = 0

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?

A. 10
B. 8
C. 15
D. 7.50

(i). a² – 7a + 12 = 0,
(ii). b² – 3b + 2 = 0 to solve both the equations to find the values of a and b?

A. if a < b
B. if a ≤ b
C. Both
D. if a > b

(i). a² – 9a + 20 = 0,
(ii). 2b² – 5b – 12 = 0 to solve both the equations to find the values of a and b?

A. If a < b
B. If a ≤ b
C. Both
D. If a ≥ b

(i). a² + 11a + 30 = 0,
(ii). b² + 6b + 5 = 0 to solve both the equations to find the values of a and b?

A. If a < b
B. If a ≤ b
C. Both
D. If a > b

I. a² + 8a + 16 = 0,
II. b² – 4b + 3 = 0 to solve both the equations to find the values of a and b?

A. If a < b
B. If a ≤ b
C. If a > b
D. If a > b

I. x² + 5x + 6 = 0,
II. y² + 9y +14 = 0 to solve both the equations to find the values of x and y?

A. If x < y
B. If x > y
C. If x ≤ y
D. If x = y or the relationship between x and y cannot be established.

I. x² – x – 42 = 0,
II. y² – 17y + 72 = 0 to solve both the equations to find the values of x and y?

A. If x < y
B. If x > y
C. If x ≤ y
D. If x ≥ y

I. x² + 9x + 20 = 0,
II. y² + 5y + 6 = 0 to solve both the equations to find the values of x and y?

A. If x < y
B. If x > y
C. If x ≤ y
D. If x ≥ y

I. x² + 3x – 18 = 0,
II. y² + y – 30 = 0 to solve both the equations to find the values of x and y?

A. If x < y
B. If x > y
C. If x ≤ y
D. If x ≥ y
E. If x = y or the relationship between x and y cannot be established.

I. x² + 11x + 30 = 0,
II. y² + 15y + 56 = 0 to solve both the equations to find the values of x and y?

A. If x < y
B. If x > y
C. If x ≤ y
D. If x ≥ y

I. 9a² + 18a + 5 = 0,
II. 2b² + 13b + 20 = 0 to solve both the equations to find the values of a and b?

A. If a > b
B. If a ≥ b
C. If a < b
D. If a ≤ b

I. a³ – 988 = 343,
II. b² – 72 = 49 to solve both the equations to find the values of a and b?

A. If a > b
B. If a ≥ b
C. If a < b
D. If a ≤ b

I. a² – 13a + 42 = 0,
II. b² – 15b + 56 = 0 to solve both the equations to find the values of a and b?

A. If a > b
B. If a ≥ b
C. If a < b
D. If a ≤ b.

Find the roots of quadratic equation: 2x² + 5x + 2 = 0?

A. -2, -1/2
B. 4, -1
C. 4, 1
D. -2, 5/2

Find the roots of quadratic equation: x² + x – 42 = 0?

A. -6, 7
B. -8, 7
C. 14, -3
D. -7, 6

Find the roots of quadratic equation: 3x² – 7x – 6 = 0?

A. -6, 3
B. 3, -2/3
C. -5, 2
D. -9, 2

Also Read: All MCQs related to Mathematics online.