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 3x ^{2} – 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 2x ^{2} – 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 x ^{2} – 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 x ^{2} – 9x + 20 = 0, find the value of a^{2} + b^{2} + 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 x ^{2} + 8x + 4 = 0?**

A. 15**B. 14**

C. 24

D. 26

**Find the quadratic equations whose roots are the reciprocals of the roots of 2x ^{2} + 5x + 3 = 0?**

A. 3x^{2} + 5x – 2 = 0**B. 3x ^{2} + 5x + 2 = 0**

C. 3x

^{2}– 5x + 2 = 0

D. 3x

^{2}– 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). a ^{2} – 7a + 12 = 0,(ii). b^{2} – 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). a ^{2} – 9a + 20 = 0,(ii). 2b^{2} – 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). a ^{2} + 11a + 30 = 0,(ii). b^{2} + 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. a ^{2} + 8a + 16 = 0,II. b^{2} – 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. x ^{2} + 5x + 6 = 0,II. y^{2} + 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. x ^{2} – x – 42 = 0,II. y^{2} – 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. x ^{2} + 9x + 20 = 0,II. y^{2} + 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. x ^{2} + 3x – 18 = 0,II. y^{2} + 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. x ^{2} + 11x + 30 = 0,II. y^{2} + 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. 9a ^{2} + 18a + 5 = 0,II. 2b^{2} + 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. a ^{3} – 988 = 343,II. b^{2} – 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. a ^{2} – 13a + 42 = 0,II. b^{2} – 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: 2x ^{2} + 5x + 2 = 0?**

**A. -2, -1/2**

B. 4, -1

C. 4, 1

D. -2, 5/2

**Find the roots of quadratic equation: x ^{2} + x – 42 = 0?**

A. -6, 7

B. -8, 7

C. 14, -3**D. -7, 6**

**Find the roots of quadratic equation: 3x ^{2} – 7x – 6 = 0?**

A. -6, 3**B. 3, -2/3**

C. -5, 2

D. -9, 2

Also Read: All MCQs related to Mathematics online.