CBSE Class 10 Mathematics Basic 2025 Sample Paper Set 06 Solved

Section A

1. If two positive integers p and q are written as p = x³y² z and q = xy3; x, y and z are prime numbers, then LCM (p, q) is
(A) xyz
(B) xy²
(C) x³y³ z
(D) xyz
Answer: c

2. A quadratic polynomial, whose zeroes are –3 and 4, is
(A) x² – x + 12
(B) x² + x + 12
(C) x²– x –12
(D) x² + x – 12
Answer: c

3. Values of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is
(A) 0 only
(B) 4
(C) 8 only
(D) 0, 8
Answer: d

4. The list of numbers – 10, – 6, – 2, 2,... is
(A) an AP with d = – 16
(B) an AP with d = 4
(C) an AP with d = – 4
(D) not an AP
Answer: b

5. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE // BC. Then, length of DE (in cm) is
(A) 2.5
(B) 3
(C) 5
(D) 6
Answer: b

6. The mid-point of the line segment joining the points A (–4, 8) and B (8, – 4) is
(A) (2, 2)
(B) (– 2, – 6)
(C) (–2, –2)
(D) (4, 2)
Answer: a

7. The distance of the point P (2, 3) from the x-axis is
(A) 2
(B) 3
(C) 1
(D) 5
Answer: b

8. If one of the zeroes of the quadratic polynomial (k–1) x² + k x + 1 is –3, then the value of k is
(A) 4/3
(B)− 4/3 
(C) 2/3
(D)−2/3
Answer: a

9. A card is selected at random from a well shuffled deck of 52 playing cards. The probability of its being an ace is
(A) 4/13
(B) 3/13
(C) 2/13
(D) 1/13
Answer: d

10. If sin A = 1/2 , then the value of cosec A is
(A) 2
(B) √2
(C) 2/√3
(D) Not defined
Answer: a

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