CBSE Class 10 Mathematics Basic 2025 Sample Paper Set 05 Solved

SECTION A 

1 Number of zeros of a quadratic polynomial
(a) 2
(b) Atleast 2
(c) Atmost 2
(d) less than 2
Answer: c

2 For what value of k does the system of equations x+2y=3 and 5x+ky+7=0 have no solution.
(a) k=10
(b) k= –7/ 3
(c) k=2
(d) k≠10
Answer: a

3 The midpoint of a line segment joining two points A(2, 4) and B(-2, -4) is
(a) (-2, 4)
(b) (2, -4)
(c) (0, 0)
(d) (-2, -4)
Answer: c

4 The distance of the point P (2, -3) from the x-axis is
(a) 3
(b) – 3
(C) –2
(d) 2
Answer: a 

5 If the common difference of an arithmetic progression is -2 and the first term is 10, what is the 5th term?
(a) 18
(b) 12
(c) 2
(d) -2
Answer: c

6 A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
(a) 2π
(b) π/2
(c) π/9
(d)π
Answer: d

7 A Parabola curve represents the -------- polynomial .
(a) Linear
(b) quadratic
(c) cubic
(d) Bi-Quadratic
Answer: b

8 The area of the circle that can be inscribed in a square of 6cm is
(a) 36π cm²
(b) 18π cm²
(c) 12 π cm²
(d) 9π cm²
Answer: d

9 The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observation of the set is increased by 2, then what is the median of the new set?
(a) no change
(b) increased by 2
(c) information inadequate
(d) none of the above
Answer: a

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