### CLASS 10 MCQ QUESTIONS | MATHS

1. If a and b are positive integers, then HCF (a, b) x LCM (a, b) =

(a)   a x b
(b) a + b
(c) a b
(d) a/b

2.If the HCF of two numbers is 1, then the two numbers are called

(a) composite
(b) relatively prime or co-prime
(c) perfect
(d) irrational numbers

The decimal expansion of      93      will be

1500
(a) terminating
(b) non-terminating
(c) non-terminating repeating
(d) non-terminating non-repeating.

4.  A quadratic polynomial whose sum and product of zeroes are –3 and 2 is
(a) x2 3x +2
(b) x2 + 3x + 2
(c) x2 + 2x 3.
(d) x2 + 2x + 3.

5.A point P divides the join of A(5, –2) and B(9, 6) are in the ratio 3 : 1. The coordinates of P are

(a) (4, 7)
(b) (8, 4)

(c) ( 11 , 5)
2
(d) (12, 8)

6. The distance of the point P(4, –3) from the origin is

(a)  1 unit
(b) 7 units
(c) 5 units
(d) 3 units

7. A point P is 26 cm away from the centre of a circle and the length of the tangent drawn from P to the circle is 24 cm. Find the radius of the circle.
(a) 11 cm         (b) 10 cm         (c) 16 cm         (d) 15 cm

8.Which measure of central tendency is given by the x – coordinate of the point of intersection of the more than ogive and less than ogive?

(a) mode
(b) median
(c) mean
(d) all the above three measures

9.   If the points (1, x), (5, 2) and (9, 5) are collinear then the value of x is

10.   Product tan10.tan20.tan30……tan890 is

11.   If ABC and DEF are similar triangles such that ÐA = 470 and ÐE = 830, then ÐC =

12.   The values of k for which the quadratic equation 2x2 + kx + 3 = 0 has real equal roots is

13.The value of k for which the system of equations x + 2y = 3 and 5x + ky + 7 = 0 has no solution is

14.How many three-digit numbers are divisible by 7?

15.The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

16.It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

 17.LCM of 6 and 20 is (a) 30                           (b) 60                 (c)120                        (d)none of these 18.  Given 15 cot A = 8, then sin A =