CBSE Class 10 Mathematics Sample Paper Set Q

SECTION – A

1. The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then the other number is
(a) 20
(b) 28
(c) 60
(d) 80

Answer: D

2. When 2120 is expressed as the product of its prime factors we get
(a) 2 × 5³ × 53
(b) 2³ × 5 × 53
(c) 5 × 7² × 31
(d) 5² × 7 × 33

Answer: B

3. If p and q are the zeroes of the quadratic polynomial f(x) = 2x² – 7x + 3, find the value of p + q – pq is
(a) 1
(b) 2
(c) 3
(d) None of these

Answer: B

4. The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 is
(a) inconsistent
(b) consistent
(c) dependent consistent
(d) none of these

Answer: C

5. Points A(3, 1), B(5, 1), C(a, b) and D(4, 3) are vertices of a parallelogram ABCD. The values of a and b are respectively
(a) a = 6, b = 3
(b) a = 2, b = 1
(c) a = 4, b = 2
(d) None of these

Answer: A

6. If ΔABC ∼ ΔDEF, BC = 3 cm, EF = 4 cm and area of ΔABC = 54 cm². Then the area of ΔDEF is
(a) 54 cm²
(b) 88 cm²
(c) 96 cm²
(d) 108 cm²

Answer: C

7. If sec A = 15/7 and A + B = 90°, find the value of cosec B.
(a) 8/7
(b) 12/7
(c) 7/15
(d) 15/7

Answer: D

8. In ΔABC, right angled at B, AB = 5 cm and sin C = 1/2. Determine the length of side AC.
(a) 10 cm
(b) 15 cm
(c) 20 cm
(d) none of these

Answer: A

9. In the ΔABC, D and E are points on side AB and AC respectively such that DE || BC. If AE = 2 cm, AD = 3 cm and BD = 4.5 cm, then CE equals
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm

Answer: C

10. 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 =
(a) 6cm
(b) 7cm
(c) 8cm
(d) 9cm

Answer: C

11. If the angle between two radii of a circle is 140°, then the angle between the tangents at the ends of the radii is
(a) 90°
(b) 50°
(c) 70°
(d) 40°

Answer: D

12. The number of revolutions made by a circular wheel of radius 0.7 m in rolling a distance of 176 m is
(a) 22
(b) 24
(c) 75
(d) 40

Answer: D

13. The area of the square that can be inscribed in a circle of radius 8 cm is
(a) 256 cm²
(b) 128 cm²
(c) 64√2 cm²
(d) 64 cm²

Answer: B

14. The ratio of the total surface area to the lateral surface area of a cylinder with base radius 80 cm and height 20 cm is
(a) 1 : 2
(b) 2 : 1
(c) 3 : 1
(d) 5 : 1

Answer: D

15. The mean and mode of a frequency distribution are 28 and 16 respectively. The median is
(a) 22
(b) 23.5
(c) 24
(d) 24.5

Answer: C

16. The median class of the following data is: 

(a) 20 – 30
(b) 30 – 40
(c) 40 – 50
(d) 50 – 60

Answer: B

17. Two dice are thrown simultaneously. What is the probability of getting doublet?
(a) 1/36
(b) 1/6
(c) 5/6
(d) 11/36

Answer: B

18. If 4 tan θ = 3, then the value of 4sinθ - cosθ/4sinθ + cosθ is
(a) 1/2
(b) 1/3
(c) 1/4
(d) 1/5

Answer: A

DIRECTION: In the question number 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option

19. Statement A (Assertion): The number 6n never end with digit 0 for any natural number n..
Statement R( Reason) : The number 9n never end with digit 0 for any natural number n.
(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)
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Answer: B

20. Statement A (Assertion): The value of y is 6, for which the distance between the points P(2, – 3) and Q(10, y) is 10.
Statement R( Reason) : Distance between two given points A (x₁, y₁) and B (x₂, y₂) is given by AB = √(x₂ - x₁)² + (y₂ - y₁)²
(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)
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Answer: D

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