Find here the Most Important NCERT chapter-wise Multiple Choice Questions from Class 10 Maths with Answers Pdf free download. this may assist you to understand and check your knowledge about the chapters Most Important MCQ. Students also can take a free test of the Multiple Choice Questions of The chapters Most Important MCQ. Each question has four options followed by the right answer. These Most Important MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

## Q1. If -2 is a zero of p(x) = (ax³ + bx² + x – 6) and p(x) leaves a remainder 4 when divided by (x – 2), then the values of a and b are (respectively):

(a) a = 2,b = 2

(b) a = 0,b = – 2

(c) a = 0, b = 2

(d) a = 0, b = 0

(c) a = 0, b = 2 If – 2 is a zero => p(- 2) = 0 => – 2a + b = 2 Also, p(2) = 4 2a + b = 2=>a = 0and b = 2

## Q2. If x101 + 1001 is divided by x + 1, then remainder is:

(a) 0

(b) 1

(c) 1490

(d) 1000

(d) 1000 p(x) is divided by x + 1 p(- 1) = (-1101) + 1001 = 1000

## Q3. If one zero of a polynomial p(x) = ax² + bx + c(a ? 0) is zero, then, which of the following is correct:

(a) b = 0

(b) c = 0

(c) other zero is also zero

(d) Nothing can be said about p(x).

(b) c = 0

## Q4. sum of the squares of the zeroes of the polynomial p(x) = x² + 7x – k is 25, find k.

(a) 12

(b) 49

(c) – 24

(d) – 12

(d) – 12

## Q5. Let, a, s, v be the zeroes of x³ + 4x² + x- 6 such that product of two of the zeroes is 6. Find the third zero.

(a) 6

(b) 2

(c) 4

(d) 1

(a) 6

## Q6. If a, s are the zeroes of x² – 8x + ?, such

that a – s = 2, then X =

(a) 8

(b) 22

(c) 60

(d) 15

(d) 15

## Q7. Find a and b so that the polynomial 6x^{4} + 8x³ – 5x² + ax + b is exactly divisible by 2x² – 5.

(a) a = 20, b = – 25

(b) a = 4, b = – 5

(c) a = 20, b = 5

(d) a = – 20, b = – 25

(d) a = – 20, b = – 25

## Q8. If the zeros of the polynomial x³ – 3x² + x +1 are p – q,p and p + q. Find the value of q.

(a) 1

(b) 0

(c) 2

(d) ±v2

(d) ±v2

## Q9. A quadratic polynomial has :

(a) at least 2 zeros

(b) exactly 2 zeros

(c) at most 2 zeros

(d) exactly 1 zero

(c) at most 2 zeros A quadratic polynomial has atmost two zeroes.

## Q10. If P(x) and D(r) are any two polynomials such that D(x) ? 0, there exists unique polynomial Q(x) and R(x) such that, P(x) = D(x). Q(x) + R(x) where :

(a) R(x) = 0 and deg R(x) > deg Q(x)

(b) R(x) = 0 or deg R(x) > deg D(x)

(c) deg R(x) < deg Q(x)

(d) R(x) = 0 or deg R(x) < deg D(x)

(b) R(x) = 0 or deg R(x) > deg D(x) division algorithm

## Q11. When we divide x³ + 5x + 7 by x^{4} – 7x² – 6 then quotient and remainder are (respectively):

(a) 0,x³ + 5x + 7

(b) x, 2x + 3

(c) 1,x^{4 }– 7x²-6

(d) x², 4x – 9

(a) 0,x³ + 5x + 7

## Q12. The value of b, for which 2x³ + 9x² – x – b is exactly divisible by 2x + 3 is:

(a) -15

(b) 15

(c) 9

(d) – 9

(b) 15

## Q13. If a and s are two zeros of the polynomial p(x), then which of the following is a factor of p(x):

(a) (x – a)(x – s)

(b) (x + a) (x + s)

(c) k(x – a)

(d) k(x- s)

(a) (x – a)(x – s)

## Q14. Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time and the product of its zeros as -2, +5, -3, respectively.

(a) 2x³ + 5x² + x + 3

(b) 4x³ + 5x² – 3x + 7

(c) x³ + 2x² + 5x + 3

(d) 2x³ + 5x² + 3x + 1

(c)

## Q15. Write a polynomial with zeros 1, – 1 and 1.

(a) x³ + x² + x + 1

(b) x³ – x² + x + 1

(c) x³ – x² – x – 1

(d) x³ – x² – x + 1

(d) x³ – x² – x + 1

## Q16. If 2 is a zero of p(x) = x² + 3x + k, find k:

(a) 10

(b) 5

(c) – 3

(d) – 10

(d) – 10

## Q17. The number of polynomials having zeroes – 1 and – 5 is :

(a) 2

(b) 3

(c) 1

(d) More than 3

(d) More than 3

## Q18. The number of polynomials having zeroes as 4 and 7 is

(a) 2

(b) 3

(c) 4

(d) more than 4

(d) more than 4

## Q19. If one of the zeroes of the cubic polynomial x^{3} + ax^{2} + bx + c is -1, then the product of the

other two zeroes is

(a) b – a + 1

(b) b – a – 1

(c) a – b + 1

(d) a – b – 1

(a) b – a + 1

## Q20. The number of zeros of a cubic polynomial is

(a) 3

(b) at least 3

(c) 2

(d) at most 3

(d) at most 3

## Q21. Find the quadratic polynomial whose zeros are 2 and -6

(a) x2 + 4x + 12

(b) x2 – 4x – 12

(c) x2 + 4x – 12

(d) x2 – 4x + 12

(c) x2 + 4x – 12

## Q22. If 5 is a zero of the quadratic polynomial, x^{2 }– kx – 15 then the value of k is

(a) 2

(b) -2

(c) 4

(d) – 4

(a) 2

I Think the given Most Important NCERT MCQ Questions for class 10 Maths with Answers Pdf free download will assist you. If you’ve got any queries regarding Most Important CBSE Class 10 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and that we will come back to you soon.