Math MCQ Test No -1

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Math MCQ Test No -1

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Q1. The LCM of smallest 2-digit composite number and smallest composite number is

1 point

Q2. If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

1 point

-10

-5

Q3. In which of the following polynomials the sum and product of the zeroes are equal?

1 point

x³-x²+5x-1

x³- 4x²

3x³-5x²-11x-3

Both a & b

Q4 x+2y= 3, 5x +ky = - 7 have a unique solution, then the value of k _____.

1 point

(a) k=5

(b) k ≠ 10

(d) ≠ 5

Q5. The line segments joining the midpoints of the adjacent sides of a quadrilateral form

1 point

(a) A Parallelogram

(b)A Rectangle

(d)A Rhombus

Q6. In the Δ ABC, D and E are points on the sides AB and AC respectively such

that DE || BC. If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE.

*

1 point

(a) 2

(b) 4

(d) 1

Q7. If sin⁡θ+cos⁡θ=√2cos⁡θ,(θ≠90°) then the value of tan⁡θ is:

1 point

(a) √2-1

(b) √2+1

(d) -√2

Q8.If sin A =3/5 , What is value of sinA cosB + cosA sinB where angle C is 90 ?

1 point

(a) 2

(b) 0

(d) 4

Q9.If the lengths of the diagonals of rhombus are 16 cm and 12 cm. Then, the length of the sides of the rhombus is ?

1 point

(a) 9 cm

(b) 10 cm

(d) 20 cm

Q10. ABCD is a trapezium with AD ∥ BC and AD = 4cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB =1/2, then BC =
*

1 point

(a) 6 cm

(b) 7 cm

(d) 9 cm

Q11. The common point of a tangent to a circle and the circle is called point of __________
*

1 point

(a) Contact

(b) Separation

(d) None of these

Q12. The area of the circle that can be inscribed in a square of 6cm is
*

1 point

(a) 36π cm²

b) 18π cm²

(d) 9π cm²

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. A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two
hemispheres stuck to each to it's ends. The length of entire capsule is 2 cm. The
capacity of the capsule is
*

1 point

(a) 0.36 cm²

b) 0.35cm²

(d) 0.33 cm²

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 sum of the lower limits of the median class and modal class?
*

1 point

(a) 15

(b) 20

(d) 30

Q17 In a family of 3 children, the probability of having at least one boy is:
*

1 point

(a) 7/8

(b) 1/8

(d) 3/4

Q18. ABCD is a trapezium with AD ∥ BC and AD = 4cm. If the diagonals AC and BD
intersect each other at O such that AO/OC = DO/OB =1/2, then BC =
*

1 point

(a) 6 cm

(b) 7 cm

(d) 9 cm

Q19. Statement A (Assertion): For any two positive integers a and b, HCF (a, b) x LCM
(a, b) = a x b

Statement R( Reason) : The HCF of two numbers is 8 and their product is 280. Then
their LCM is 40.

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. Statement A (Assertion): Ratio in which the line 3x + 4y = 7 divides the line
segment joining the points (1, 2) and (- 2, 1) is 3 : 5

Statement R( Reason) : The coordinates of the point P(x, y) which divides the
line segment joining the points A(x1 , y1 ) and B(x2 , y2 ) in the ratio m1 : m2 is

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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