Free Printable class 10th

1.

$a_1x+b_1y+c_1=0\ ,\ a_2x+b_2y+c_2=0$ are a system of two simultaneous linear equations. If $\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}$ , then the system has

a)

One solution

b)

Two solution

c)

Infinite solution

d)

NO solution

2.

The sum of a two digit number and the number formed by interchanging its digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the first number.

a)

64

b)

46

c)

56

d)

66

3.

A fraction becomes $\frac{6}{5}$ , if 1 is added to each of the numerator and denominator. However, if we subtract 5 from each, the fraction becomes $\frac{3}{2}$ . Then the fraction is :

a)

$\frac{11}{9}$

b)

$\frac{7}{9}$

c)

$\frac{9}{11}$

d)

$\frac{9}{7}$

4.

$\ If\ 2^{x+y}=2^{x-y}=\sqrt{8}$ then the value of y is

a)

$\frac{1}{2}$

b)

$\frac{3}{2}$

c)

0

d)

None of these

5.

a)

Consistent : Unique solution

b)

Consistent: Many Solutions

c)

Inconsistent: No solution

d)

None of the above

6.

The pair of linear equations:
kx + 4y = 5 ; 3x + 2y = 5
is consistent only when:

a)

k ≠ 6

b)

k = 6

c)

k ≠ 3

d)

x = 3

7.

The pair of linear equations 3x + 5y = 3 ; 6x + ky = 8 do not have any solutions if :

a)

k = 5

b)

k = 10

c)

k ≠ 10

d)

k ≠ 5

8.

If α,β be the zeros of the quadratic polynomial 2 - 3x - x², then α + β = _____

a)

2

b)

- 3

c)

1

d)

None of the above

9.

Sum of the zeros of the polynomial x²+7x+10 are

a)

7

b)

-7

c)

10

d)

-10

10.

Which is the root of the given quadratic polynomial equation?

2x^2-7x=15

a)

A) 2

b)

B) 3

c)

C) 4

d)

D) 5

11.

The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, then the other number is

a)

23

b)

207

c)

1449

d)

none of these

12.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

13.

$2-\sqrt{7}is\$

a)

a rational number

b)

an irrational number

c)

an integer

d)

a natural number

14.

3 × 5 × 7 + 7 is a composite number

a)

true

b)

false

15.

Which of the following is not the graph of a quadratic polynomial?

a)

b)

c)

d)

16.

A quadratic polynomial, whose zeroes are –3 and 4, is

a)

x² – x + 12

b)

x² + x + 12

c)

2x² + 2x –24

d)

x² - x –12

17.

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

a)

10

b)

-10

c)

5

d)

-5

18.

If two positive integers a and b are written as a = x³y² and b = xy³; x, y are prime numbers, then HCF (a, b) is

a)

xy

b)

xy²

c)

x³y³

d)

x²y²

19.

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

a)

4

b)

2

c)

1

d)

3

20.

The decimal expansion of the rational number
$\frac{33}{2^2\cdot5}$ will terminate after

a)

one decimal place

b)

two decimal places

c)

three decimal places

d)

more than 3 decimal places

class 10th

Total questions: 20

Worksheet time: 11mins

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