TEST PAPER -(Multiple choice Questions- Maths)- (IX) -1

1) Choose the correct statement:

a) Reciprocal of every rational number is a rational number

b) The square roots of all positive integers are irrational numbers.

c) The product of a rational and an irrational number is an irrational number.

d) The difference of a rational number and an irrational number is an irrational number.

2) The compund intrest on ₹1000 at 10% p.a. compound annually for 2 years is

a) ₹190 b) ₹200 c) ₹210 d) ₹1210

3) If x+ 1/x= 2 then x²+ 1/x² =?

a) 4 b) 2 c) 0  d) none

4) Factorize: 12a²b +15 ab² is

a) 3a(4ab+ 5b²) b) 3b(4a²+ 5ab)

c) 3ab(4a+ 5b).  c) none

5) If x= 3, y= k is a solution of the equation 3x - 4y +7=0.0, then the value of k is

a) 16 b) -16 c) 4 d) -4

6) Sum of digits of a two digit number is 8. If the number obtained by reversing the digits is 18 more than the original number, then the original numbers is

a) 35 b) 53 c) 26 d) 62

7) Which of the following is not a quadratic equation:

a) 2x²= 3x - 5 b) (2x-1)(x -1)= 2x²-7x +2

c) (2x-1)(x +2)= (x-1)(x +1)

d) (x+1)³= x³+2x +2

8) The value of (81/16)⁻³⁾⁴

a) 4/9 b) 9/4 c) 27/8 d) 8/27

9) If log√₃ 27= x, then the value of x is

a) 3 b) 4 c) 6 d) 9

10) Which of the following is not a criterion for congruency of triangles?

a) SAS  b) ASA c) SSA d) SSS

11) In a ∆ABC, AB= 3cm, BC= 4cm and CA= 5cm. If D and E are midpoints of AB and BC respectively, then the length of DE is

a) 1.5cm b) 2 c) 2.5 d) 3.5

12) In a ∆ ABC, if AB= 6√3cm, BC= 6cm and AC= 12cm, then angle B is

a) 120° b) 90° c) 60° d) 45°

13) Three angles of a quadrilateral are 75,90, and 75. The fourth angle is

a) 90 b) 95 c) 105 d) 120

14) Two parallelogram are on equal bases and between the same parallels. The ratio of their areas is

a) 1:2 b) 1:1 c) 2:1 d) 3:1

15) If P and Q are any two points on a circle, then the line segment PQ is called a

a) radius of the circle 

b) diameter of the circle

c) chord of the circle

d) secant of the circle