# MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers

Students are advised to solve the Quadratic Equations Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Quadratic Equations Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Quadratic Equations Class 10 with answers provided with detailed solutions by looking below.

Question 1.

One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are

(a) 7 years, 49 years

(b) 5 years, 25 years

(c) 1 years, 50 years

(d) 6 years, 49 years

## Answer

Answer: (a) 7 years, 49 years

Question 2.

If -5 is a root of the quadratic equation 2x^{2} + px – 15 = 0, then

(a) p = 3

(b) p = 5

(c) p = 7

(d) p = 1

## Answer

Answer: (c) p = 7

Question 3.

The two consecutive odd positive integers, sum of whose squares is 290 are

(a) 13, 15

(b) 11, 13

(c) 7, 9

(d) 5, 7

## Answer

Answer: (b) 11, 13

Question 4.

The value of b^{2} – 4ac for equation 3x^{2} – 7x – 2 = 0 is

(a) 49

(b) 0

(c) 25

(d) 73

## Answer

Answer: (d) 73

Question 5.

Value(s) of k for which the quadratic equation 2x^{2} -kx + k = 0 has equal roots is

(a) 0

(b) 4

(c) 8

(d) 0 and 8

## Answer

Answer: (d) 0 and 8

Question 6.

Find the two consecutive odd positive integers, sum of whose square is 290

(a) 15, 17

(b) 9, 11

(c) 13, 15

(d) 11, 13

## Answer

Answer: (d) 11, 13

Question 7.

Which of the following are the roots of the quadratic equation, x^{2} – 9x + 20 = 0 by factorisation?

(a) 3,4

(b) 4, 5

(c) 5, 6

(d) 6, 7

## Answer

Answer: (b) 4, 5

Question 8.

Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?

(a) 7

(b) 1

(c) 7, -8

(d) 8

## Answer

Answer: (d) 8

Question 9.

The equation (x – 2)^{2} + 1 = 2x – 3 is a

(a) linear equation

(b) quadratic equation

(c) cubic equation

(d) bi-quadratic equation

## Answer

Answer: (b) quadratic equation

Question 10.

Two candidates attempt to solve a quadratic equation of the form x^{2} + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :

(a) 3, 4

(b) – 3, – 4

(c) 3, – 4

(d) – 3, 4

## Answer

Answer: (b) – 3, – 4

Question 11.

The quadratic equation has degree

(a) 0

(b) 1

(c) 2

(d) 3

## Answer

Answer: (c) 2

Question 12.

The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is

(a) linear equation

(b) quadratic equation

(c) cubic equation

(d) bi-quadratic equation

## Answer

Answer: (a) linear equation

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Question 13.

If (x – a) is one of the factors of the polynomial ax^{2} + bx + c, then one of the roots of ax^{2} + bx + c = 0 is

(a) 1

(b) c

(c) a

(d) none of these

## Answer

Answer: (c) a

Question 14.

The equation x^{2} – px + q = 0 p, q e R has no real roots if :

(a) p^{2} > 4q

(b) p^{2} < 4q

(c) p^{2} = 4q

(d) None of these

## Answer

Answer: (b) p^{2} < 4q

Question 15.

The roots of the equation (b – c) x^{2} + (c – a) x + (a – b) = 0 are equal, then

(a) 2a = b + c

(b) 2c = a + b

(c) b = a + c

(d) 2b = a + c

## Answer

Answer: (d) 2b = a + c

Question 16.

If the roots of px^{2} + qx + 2 = 0 are reciprocal of each other, then

(a) P = 0

(b) p = -2

(c) p = ±2

(d) p = 2

## Answer

Answer: (d) p = 2

Question 17.

If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are

(a) a, b

(b) a, c

(c) b, c

(d) none of these

## Answer

Answer: (a) a, b

Question 18.

The sum of the roots of the quadratic equation 3x^{2} – 9x + 5 = 0 is

(a) 3

(b) 6

(c) -3

(d) 2

## Answer

Answer: (c) -3

Question 19.

The cubic equation has degree

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (c) 3

Question 20.

The equation 2x^{2} + kx + 3 = 0 has two equal roots, then the value of k is

(a) ±√6

(b) ± 4

(c) ±3√2

(d) ±2√6

## Answer

Answer: (d) ±2v6

Question 21.

The quadratic equation whose one rational root is 3 + v2 is

(a) x^{2} – 7x + 5 = 0

(b) x^{2} + 7x + 6 = 0

(c) x^{2} – 7x + 6 = 0

(d) x^{2} – 6x + 7 = 0

## Answer

Answer: (d) x^{2} – 6x + 7 = 0

Question 22.

A bi-quadratic equation has degree

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (d) 4

Question 23.

If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is

(a) 87

(b) 88

(c) 89

(d) 90

## Answer

Answer: (c) 89

Question 24.

The quadratic equation 2x^{2} – 3x + 5 = 0 has?

(a) Real and distinct roots

(b) Real and equal roots

(c) Imaginary roots

(d) All of the above

## Answer

Answer: (c) Imaginary roots

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