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Worksheets

APTITUDE

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

 10 ×5\sqrt{10}\ \times\sqrt{5}  is equal to

a)

 15\sqrt{15}  

b)

 150\sqrt{150}  

c)

 50\sqrt{50}  

d)

5

2.

The number obtained on rationalizing the denominator of  172\frac{1}{\sqrt{7}-2}  is

a)

 7+23\frac{\sqrt{7}+2}{3}  

b)

 723\frac{\sqrt{7}-2}{3}  

c)

 7+25\frac{\sqrt{7}+2}{5}  

d)

 725\frac{\sqrt{7}-2}{5}  

3.

 198\frac{1}{\sqrt{9}-\sqrt{8}}  is equal to

a)

 98\sqrt{9}-\sqrt{8}  

b)

 981\frac{\sqrt{9}-\sqrt{8}}{1}  

c)

 383-\sqrt{8}  

d)

 3+83+\sqrt{8}  

4.

Which of the following statements is true?

a)

Every rational number is an integer

b)

Every whole number is a natural number

c)

Every integer is a whole number

d)

Every whole number is a rational number

5.

What is the value of (3 - √3) (2 - √2) ?

a)

6 - √6

b)

6 -2√3 - 3√2 + √6

c)

6 + √6

d)

6 -2√3 - 3√2 - √6

6.

What is the product of  6 5\sqrt{5}  and  2 5\sqrt{5}  ?

a)

12  5\sqrt{5}  

b)

60

c)

 5\sqrt{5}  

d)

3

7.

Which of the following gives a rational number ?

a)

π +2\pi\ +2

b)

π×π\pi\times\pi

c)

π 2\pi-\ 2

d)

π×0\pi\times0

8.

Select all sets that the number belongs to:
 3\sqrt{3}  

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

9.

Select all sets that the number belongs to:
 43\frac{4}{3}  

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

10.

What is the remainder when 1! + 2! + 3! + …. + 100! is divided by 5 ?

a)

0

b)

1

c)

2

d)

3

e)

4

11.

What is the remainder when 2²⁵⁶ divided by 17 ?

a)

0

b)

1

c)

2

d)

16

e)

3

12.

Find the number of Even and Odd factors of 512 ?

a)

6 , 4

b)

8 , 2

c)

10 , 0

d)

4 , 6

e)

5 , 5

13.

At a toy factory it takes two machines 50 minutes to create 10 teddy bears. How many teddy bears can one machine create in 30 minutes?

a)

6

b)

5

c)

3

d)

2

14.

Find the number of prime factors of

610 ⋅ 717 ⋅ 5527

a)

101

b)

95

c)

91

d)

81

e)

85

15.

Find the unit digit of

24382643

a)

2

b)

4

c)

6

d)

8

e)

0