CBSE Class 10 Math's Sample Papers Set 2

Q1.The sum of exponents of prime factors in the primefactorisation of 196 is

1

2

3

4

Q2. The decimal expansion of the rational number 14587/1250 will terminate after

one decimal place

two decimal place

three decimal place

four decimal place

Q3. The decimal expansion of 23/(2⁵ x 5²) will terminate after how many places of decimal?

2

4

5

1

Q4.For some integer m , every odd integer is of the form?

m+1

m-1

2m+1

None of these

Q5.The value of k for which the system of linear equations x+2y=3 , 5x+ky+7=0 is inconsistent is

5

10

2

None of the these

Q6.If the quadratic equation 𝑚x² + 2𝑥 + 𝑚 = 0 has two equal roots, then the values of 𝑚 are

±2

±1

±1/3

None of these

Q7.The roots of the equation x² + 𝑥 − 𝑝(𝑝 + 1) = 0, where 𝑝 is a constant, are

−p,−(p+1)

p,−(p+1)

−p,(p+1)

None of these

Q8. A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction is?

5

10

15

20

Q9.x and y are 2 different digits. If the sum of the two digit numbers formed by using both the digits is a perfect square, then value of x+y =.........

10

11

12

13

Q10. The pair of equations 3^{(x + y )}= 81 and 81^{(x − y)} = 3 has

No common solution

The solution x = 2 , y = 2

unique solution

infinitely many solutions

Q11.The pair of equations x =a and y= b graphically represents lines, which are

intersecting at (b, a)

intersecting at (-b, a)1

concoiding line

intersecting at (a, b)

Q12.The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is

linear equation

quadretic equation

cubic equation

None of these

Q13. The real roots of the equation x^2/3 +x^1/3 −2=0 are

1,8

1,-8

8,1

None of these

Q14. The sum of the roots of the quadratic equation 3x² – 9x + 5 = 0 is

3

6

-3

2

Q15. If the roots of ax² + bx + c = 0 are in the ratio m : n, then

mna² = (m + n) c

mnb² = (m + n) ac

mn b² = (m + n)² ac

mnb² = (m – n)² ac

Q16. The equation 2x² +2(p+1)x+p=0, where p is real, always has roots that are

Equal

Real

Imaginary

None of these

Q17.If the common difference of an AP is 5, then what is a₁₈ -a₁₃ - ?

5

20

25

30

Q18.If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are

5, 10, 15, 20

4, 10, 16, 22

3, 7, 11, 15

None of the above

Q19.Five distinct positive integers are in a arithmetic progression with a positive common difference. If their sum is 10020, then the smallest possible value of the last term is

2002

2004

2006

none of the above

Q20. If the first, second and the last terms of an A.P. are a,b,crespectively, then the sum is:

(a+b)(a+c-2b)/2(b-a)

(b+c)(a+c-2b)/2(b-a)

(a+c)(b+c-2a)/2(b-a)

None of these

Q21.Two coins are tossed simultaneously. The probability of getting at most one head is

1/3

2/3

1/4

3/4

Q22. The probability of getting a number greater than 2 in throwing a die is

1/3

2/3

3/4

None of these

Q23. If xsin³θ+ycos³θ=sinθcosθ and xsinθ=ycosθ, find the value of x²+y²

2

-2

-1

1

Q24.If 4 tan θ = 3, find value (4sin θ - cos θ + 1)/(4sin θ + cos θ - 1)

11/13

12/13

11/12

13/11

Q25.Given that sinA = √3/2 and cosB =0 , then the value of (B-A) is

0°

30°

60°

45°

Q26.If the points A(4,3 )and B (x,5 ) are on the circle with centre O( 2,3), then the value of x is

1

4

3

2

Q27. If the points (a,0) , (0,b) and (1, 1) are collinear,then 1/a+ 1/b=.......

1

2

-1

2

Q28.The distance of the point P(-3,4) from the x-axis (in units) is

3

4

5

None of these

Q29.The co-ordinates of the point which is reflection of point (- 3, 5) in Y -axis are

(3,5)

(3,-5)

(-3,5)

(-3,-5)

Q30.The point P on x -axis equidistant from the points A(-1 ,0) and B(5,0 ) is

(2,0)

(0,2)

(3,0)

(-3,5)