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## MCQ Questions for Class 10 Mathematics with Answers

## Q1. The quadratic equation has degree

(i) 0

(ii) 1

(iii) 2

(iv) 3

(iii) 2

## Q2. The roots of 100x² – 20x + 1 = 0 is:

(i) 1/20 and 1/20

(ii) 1/10 and 1/20

(iii) 1/10 and 1/10

(iv) None of the above

(iii) 1/10 and 1/10

## Q3. The quadratic equation 2×2 – 3x + 5 = 0 has

(i) Real and distinct roots

(ii) Real and equal roots

(iii) Imaginary roots

(iv) All of the above

(iii) Imaginary roots

## Q4. If 2 is a root of the equation x² + bx + 12 = 0 and the equation x² + bx + q = 0 has equal roots, then q is equal to

(i) 8

(ii) –8

(iii) 16

(iv) –16

(iii) 16

## Q5. The roots of the equation 3x² – 4x + 3 = 0 are –

(i) real and unequal

(ii) real and equal

(iii) imaginary

(iv) none of these

(iii) imaginary

## Q6. The cubic equation has degree

(i) 1

(ii) 2

(iii) 3

(iv) 4

(iii) 3

## Q7. The sum of two numbers is 27 and product is 182. The numbers are:

(i) 12 and 13

(ii) 13 and 14

(iii) 12 and 15

(iv) 13 and 24

(ii) 13 and 14

## Q8. A bi-quadratic equation has degree

(i) 1

(ii) 2

(iii) 3

(iv) 4

(iv) 4

## Q9. If the roots of the equation (a – b)x² + (b – c)x + (c – a) = 0 are equal. Then

(i) 2b = a + c

(ii) 2a = b + c

(iii) 2c = a + b

(iv) 1/b = 1/a = 1/c

(ii) 2a = b + c

## Q10. If one root of the equation px² –14x + 8 = 0 is six times the other, then p is equal to –

(i) 2

(ii) 3

(iii) 1

(iv) None of these

(ii) 3

## Q11. The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is

(i) linear equation

(ii) quadratic equation

(iii) cubic equation

(iv) bi-quadratic equation

(i) linear equation

## Q12. ½ is a root of the quadratic equation x²-mx-5/4=0, then value of m is:

(i) 2

(ii) -2

(iii) -3

(iv) 3

(ii)-2

## Q13. The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is

(i) ±√6

(ii) ± 4

(iii) ±3√2

(iv) ±2√6

(iv) ±2√6

## Q14. If √x −1 − √x +1+1=0 , then 4x is equal to

(i) 4 √−1

(ii) 0

(iii) 5

(iv) 1/4×1

(iii) 5

## Q15. Which of the following equations has the sum of its roots as 3?

(i) x2 + 3x –5 = 0

(ii) – x2 + 3x + 3 = 0

(iii) 2×2 – 3/2x –1 = 0

(iv) 3×2 –3x –3 = 0

(ii) – x2 + 3x + 3 = 0

## Q16. The quadratic equation whose roots are 1 and

(i) 2x² + x – 1 = 0

(ii) 2x² – x – 1 = 0

(iii) 2x² + x + 1 = 0

(iv) 2x² – x + 1 = 0

(ii) 2x² – x – 1 = 0

## Q17. The roots of quadratic equation 2x² + x + 4 = 0 are:

(i) Positive and negative

(ii) Both Positive

(iii) Both Negative

(iv) No real roots

(iv) No real roots

## Q18. Find the two consecutive odd positive integers, sum of whose square is 290

(i) 15, 17

(ii) 9, 11

(iii) 13, 15

(iv) 11, 13

(iv) 11, 13

## Q19. The roots of the equation 3x + 5 (x)^{1/2} = √2 can be found by solving

(i) 9×2 + 28x + 25 = 0

(ii) 9×2 + 30x + 25 = 0

(iii) 9×2 + 28x – 25 = 0

(iv) 16×2 + 22x – 30 = 0

(i) 9×2 + 28x + 25 = 0

## Q20. If the roots of ax2 + bx + c = 0 are in the ratio m : n, then

(i) mna² = (m + n) c²

(ii) mnb² = (m + n) ac

(iii) mn b² = (m + n)² ac

(iv) mnb² = (m – n)² ac

(iii) mn b² = (m + n)² ac

### Q21. The sum of the reciprocals of Rehman’s ages 3 years ago and 5 years from now is 1/3. The present age of Rehman is:

(i) 7

(ii) 10

(iii) 5

(iv) 6

(i) 7

### Q22. 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

(i) a, b

(ii) a, c

(iii) b, c

(iv) none of these

(i) a, b

### Q23. Two numbers whose sum is 12 and the absolute value of whose difference is 4 are the roots of the equation

(i) x² – 12x + 30 = 0

(ii) x² – 12x + 32 = 0

(iii) 2x² – 6x + 7 = 0

(iv) 2x² – 24x + 43 = 0

(ii) x² – 12x + 32 = 0

## Q24. The quadratic equation whose one of the roots is (3 – 5 ), is

(i) x² – 6x + 4 = 0

(ii) 3x² + 5x + 2 = 0

(iii) x² – 2x + 7 = 0

(iv) 2x² + 3x + 5 = 0

(i) x² – 6x + 4 = 0

### Q25. 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

(i) a, b

(ii) a, c

(iii) b, c

(iv) none of these

(i) a, b

## Q26. If one root of equation 4x²-2x+k-4=0 is reciprocal of other. The value of k is:

(i) -8

(ii) 8

(iii) -4

(iv) 4

(ii) 8

## Q27. The roots of the equation (b – c) x² + (c – a) x + (a – b) = 0 are equal, then

(i) 2a = b + c

(ii) 2c = a + b

(iii) b = a + c

(iv) 2b = a + c

(iv) 2b = a + c

## Q28. Which of the following equations has two distinct real roots?

(i) 2x² – 3 √2x + 9/4 = 0

(ii) x² + x – 5 = 0

(iii) x² + 3x + 2 √2 = 0

(iv) 5x² – 3x + 1 = 0

(ii) x² + x – 5 = 0

## Q29. If the roots of px2 + qx + 2 = 0 are reciprocal of each other, then

(i) P = 0

(ii) p = -2

(iii) p = ±2

(iv) p = 2

(iv) p = 2

#### Q30. 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

(i) 7 years, 49 years

(ii) 5 years, 25 years

(iii) 1 years, 50 years

(iv) 6 years, 49 years

(i) 7 years, 49 years

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## MCQ Questions for Class 10 Mathematicss with Answers

**Lesson 1. Real Numbers Class 10 MCQs****Lesson 2. Polynomials Class 10 MCQs****Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs****Lesson 4. Quadratic Equations Class 10 MCQs****Lesson 5. Arithmetic Progression Class 10 MCQs****Lesson 6. Triangles Class 10 MCQs****Lesson 7. Coordinate Geometry Class 10 MCQs****Lesson 8. Introduction To Trigonometry Class 10 MCQs****Lesson 9. Some Applications Of Trigonometry Class 10 MCQs****Lesson 10. Circles Class 10 MCQs****Lesson 11. Constructions Class 10 MCQs****Lesson 12. Areas Related To Circles Class 10 MCQs****Lesson 13. Surface Areas And Volumes Class 10 MCQs****Lesson 14. Statistics Class 10 MCQs****Lesson 15. Probability Class 10 MCQs**