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. Values of k for which the quadratic equation 2x² – kx + k = 0 has equal roots is
(a) 0 only
(b) 4
(c) 8 only
(d) 0, 8
(d) 0, 8
Q2. 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
(d) 11, 13
Q3. Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
(a) 3,4
(b) 4, 5
(c) 5, 6
(d) 6, 7
(b) 4, 5
Q4. 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
(d) 8
Q5. The equation (x – 2)2 + 1 = 2x – 3 is a
(a) linear equation
(b) quadratic equation
(c) cubic equation
(d) bi-quadratic equation
(b) quadratic equation
Q6. Two candidates attempt to solve a quadratic equation of the form x2 + 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
(b) – 3, – 4
Q7. The quadratic equation has degree
(a) 0
(b) 1
(c) 2
(d) 3
(c) 2
Q8. 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
(a) linear equation
Q9. If (x – a) is one of the factors of the polynomial ax2 + bx + c, then one of the roots of ax2 + bx + c = 0 is
(a) 1
(b) c
(c) a
(d) none of these
(c) a
Q10. The equation x2 – px + q = 0 p, q e R has no real roots if :
(a) p2 > 4q
(b) p2 < 4q
(c) p2 = 4q
(d) None of these
(b) p2 = 4q
Q11. The roots of the equation (b – c) x2 + (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
(d) 2b = a + c
Q12. If the roots of px2 + qx + 2 = 0 are reciprocal of each other, then
(a) P = 0
(b) p = -2
(c) p = ±2
(d) p = 2
(d) p = 2
Q13. 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
(a) a, b
Q14. The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is
(a) 3
(b) 6
(c) -3
(d) 2
(c) -3
Q15. The cubic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4
(c) 3
Q16. The equation 2x2 + kx + 3 = 0 has two equal roots, then the value of k is
(a) ±v6
(b) ± 4
(c) ±3v2
(d) ±2v6
(d) ±2v6
Q17. The quadratic equation whose one rational root is 3 + v2 is
(a) x2 – 7x + 5 = 0
(b) x2 + 7x + 6 = 0
(c) x2 – 7x + 6 = 0
(d) x2 – 6x + 7 = 0
(d) x2 – 6x + 7 = 0
Q18. A bi-quadratic equation has degree
(a) 1
(b) 2
(c) 3
(d) 4
(d) 4
Q19. 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
(c) 89
Q20. The quadratic equation 2x2 – 3x + 5 = 0 has?
(a) Real and distinct roots
(b) Real and equal roots
(c) Imaginary roots
(d) All of the above
(c) Imaginary roots
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