Class 10th Maths PYQs and Important Questions

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Maths Series for Class 10th 

 Maths PYQs and Practice questions for Class 10th 

Important for Board Exams 


MCQs 


Q. If a pair of linear equations is consistent, then the lines will be

(a) always coincident
(b) parallel
(c) always intersecting
(d) intersecting or coincident

Ans. (d) intersecting or coincident

Q. The addition of a rational number and an irrational number is equal to:

(a) rational number

(b) Irrational number

(c) Both

(d) None of the above

Answer: (b) Irrational number


Q.  If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
(a) 6, -1
(b) 2, 3
(c) 1, 4
(d) 19/5,  6/5

Ans. (d) 19/5,  6/5

Q. The pair of equations 5x – 15y = 8 and 3x – 9y = 24/5 has

(a) one solution 

(b) two solutions 

(c) infinitely many solutions

(d) no solution

Answer: (c) infinitely many solutions


Q. Bharat has only ₹1 and ₹2 coins with him. If the total number of coins that he has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively
(a) 35 and 15
(b) 15 and 35
(c) 35 and 20
(d) 25 and 25

Ans. (d) 25 and 25

Q. The quadratic equation has degree
(a) 0
(b) 1
(c) 2
(d) 3

Ans. (c) 2

Q. 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

Ans. (d) p = 2

Q. The sum of the squares of two consecutive natural numbers is 313. The numbers are
(a) 12, 13
(b) 13,14
(c) 11,12
(d) 14,15

Ans. (a) 12 , 13 

Q. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
(a) a unique solution
(b) infinitely many solutions
(c) no solution
(d) two solutions

Q. . The graph of y = 6 is a line parallel to the
(a) x-axis
(b) y-axis
(c) both axis
(d) none of these

Q. The addition of a rational number and an irrational number is equal to:

(a) rational number

(b) Irrational number

(c) Both

(d) None of the above

Answer: (b) Irrational number


Q. Pratham has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively
(a) 35 and 15
(b) 15 and 35
(c) 35 and 20
(d) 25 and 25

Q. The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is
(a) 27
(b) 72
(c) 45
(d) 36

Q. HCF of 26 and 91 is:

(a) 15

(b) 13

(c) 19

(d) 11

Answer: (b) 13

Q. The solution of the equations x-y=2 and x+y=4 is:

(a) 3 and 1

(b) 4 and 3

(c) 5 and 1

(d) -1 and -3

Answer: (a) 3 and 1

Q. The sum or difference of two irrational numbers is always

(a) rational

(b) irrational

(c) rational or irrational

(d) not determined

Answer: (b) irrational

Q. Zeroes of p(x) = x2-27 are:

(a) ±9√3

(b) ±3√3

(c) ±7√3

(d) None of the above

Answer: (b) ±3√3

Q. If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is

(a) 10 

(b) –10 

(c) 5 

(d) –5

Answer: (b) -10


Q. 

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