Free Printable Real numbers

1.

Three sets of physics, chemistry and mathematics books have to be stacked in such a way that all the books are stored topic wise and the number of books in each stack is the same. The number of physics books is 192, the number of chemistry books is 240 and the number of mathematics books is 168. Determine the number of stacks of physics, chemistry and mathematics books

a)

8,10,7

b)

8,8,8

c)

7,10,8

d)

10,8,7

2.

What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length?

a)

20

b)

21

c)

22

d)

23

3.

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?

a)

12:20

b)

12:11

c)

12:12

d)

none of these

4.

If a and b are two positive integers such that a = 14b. Find the HCF of a and b.

a)

a

b)

b

c)

14b

d)

14a

5.

For positive integers a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy:

a)

0 ≤ r < 3

b)

1 < r < 3

c)

0 < r < 3

d)

0 < r ≤ 3

6.

$a^{-1}$ is equal to

a)

a

b)

1

c)

0

d)

$\frac{1}{a}$

7.

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

a)

$\frac{\sqrt{7}+2}{3}$

b)

$\frac{\sqrt{7}-2}{3}$

c)

$\frac{\sqrt{7}+2}{5}$

d)

$\frac{\sqrt{7}-2}{5}$

8.

$2\sqrt{3}+\ \sqrt{3}$ is equal to

a)

$2\sqrt{6}$

b)

6

c)

$3\sqrt{3}$

d)

$4\sqrt{6}$

9.

if\ x=5\ and\ y=2,\ find\ the\ value\ of\ \ \left(x^y+y^x\right)

a)

37

b)

67

c)

47

d)

57

10.

$2-\sqrt{7}is\$

a)

a rational number

b)

an irrational number

c)

an integer

d)

a natural number

Real numbers

Total questions: 10

Worksheet time: 5mins

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