Math MCQ Test No -2

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Math MCQ Test No -2

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Q1. All decimal numbers are

1 point

(a) rational number

(b) irrational numbers

(d) integers

Q2. The quadratic polynomial ax² + bx + c, a ≠ 0 is represented by this graph then a is

1 point

(a) Natural no.

(b) Whole no.

(d) Irrational no.

Q3. For what value of k, the following system of equations will be inconsistent

kx + 3y = k – 3 , 12x + ky = k

1 point

(a) k = – 6

(b) k = – 5

(d) k = – 3

Q4 For what value of ‘a’ quadratic equation 3ax ² – 6x + 1 = 0 has no real roots?

1 point

(a) a=3

(b) a>3

(d) a≠3

Q5. If the three sides of a triangle are a, √3a and √2a , then the measure of the

angle opposite to longest side is *

1 point

(a) 45°

(b) 30°

(d) 90°

Q6. A vertical pole of length 3 m casts a shadow of 7 m and a tower casts a

shadow of 28 m at a time. The height of tower is
*

1 point

(a) 10 m

(b) 12 m

(d) 16 m

Q7.The co-ordinates of the point where line x/a + y/b=7 intersects y-axis are

1 point

(a) (a, 0)

(b) (0, b)

(d) (2a, 0)

Q8.If A and 2A – 45° are acute angles such that sin = cos (2A – 45°) then tanA is

1 point

(a) 1

(b) – 1

(d)1/√3

Q9.Find the value of 9 sec²A – 9 tan²A

1 point

(a) 9

(b) 1

(d) √3

Q10. If sin (20° + A) = cos 30° then find the value of .
*

1 point

(a) 10

(b) 40

(d) 70

Q11. In the figure, find the value of CF.
*

1 point

(a) 25 m

(b) 50 m

(d) √3 m

Q12. If the horizontal distance of the boat from the bridge is 25 m and the height of
the bridge is 25 m, then find the angle of depression of the boat from the bridge.
*

1 point

(a) 30°

(b) 45°

(d) 15

Q13. If radii of two concentric circles are 4 cm and 5 cm, then find the length of the
chord of that circle which is tangent to the other circle.
*

1 point

(a)6cm

b) 5 cm

(d) 3 cm

Q14. If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then find the length of each tangent
*

1 point

(a) 3√3cm

(b) 2cm

(d) 3cm

Q15. Two identical solid hemispheres of equal base radius r are stuck together along their
bases. The total surface area of the combination is 6πr².
*

1 point

(a) True

False

Q16. In the above figure, what is the upper limit of the median class?
*

1 point

(a)17.5

(b) 18.5

(d) 18

Q17 The median and mode respectively of a frequency distribution are 26 and 29.Then, its mean is
*

1 point

(a) 27.5

(b) 24.5

(d) 25.8

Q18. A card is drawn from a well shuffled pack of 52 playing cards. The event E is that the card drawn is not a face card. The number of outcomes favourable to the event E is:
*

1 point

(a) 51

(b) 40

(d) 12

Q19. Assertion : If the points A(4, 3) and B(x, 5) lies on a circle with the centre O(2,3)
then the value of x is 2.
Reason : The mid-point of the line segment joining the points P(x1 , y1 ) and Q(x2 ,
y2 ) is ((x1+x2)/2, (y1+y2)/2 ) *

1 point

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

(b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

(d) Assertion (A) is false but reason (R) is true

Q20. Assertion : Denominator of 12.145. When expressed in the form p/q, q ≠ 0, is
of the form 2ᵐ x 5ⁿ , where m, n are non-negative integers.
Reason : 12.145 is a terminating decimal fraction.

1 point

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

(b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

(d) Assertion (A) is false but reason (R) is true

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