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REAL NUMBERS

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

The set of __________ contains all the numbers that are rational and irrational.

a)

integers

b)

whole numbers

c)

real numbers

d)

natural numbers

2.
√5 - 3 -2 is  ______
a)
a rational number 
b)
a natural number 
c)
equal to zero
d)
an irrational number
3.
Say 'TRUE' or 'FALSE'
101 is a composite number 
a)
TRUE
b)
FALSE
4.
Say 'TRUE' or 'FALSE'
π is not a rational number
a)
TRUE
b)
FALSE
5.
The number
0.211211121111211111..... is a _____
a)
terminating decimal
b)
non-terminating repeating decimal
c)
non-terminating and non-repeating decimal
d)
none of the above
6.
Euclid's division Lemma states that for any two positive integers 'a' and 'b', there exist unique integers 'q' and 'r' such that a = bq +rm where 'r' must satisfy____
a)
1 < r < b
b)
0 < r < b
c)
0≤ r < b
d)
0 < r ≤ b
7.
HCF of 48 and 120 is ______
a)
8
b)
12
c)
24
d)
18
8.
Classify the following number:
1.01011011101111....
a)
Rational
b)
Irrational
9.

 3\sqrt{3}  is considered a...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

10.

The following Real Number Venn diagram correctly shows each set and subset:

a)

True

b)

False

11.

Which of the following is composite number

a)

2

b)

9

c)

5

d)

11

12.

Which of the following are coprimes

a)

4,6

b)

8,9

c)

5,10

d)

10,12

13.

When divisor is 4 then possible remainders are-------'

a)

3,4,5

b)

1,2,3

c)

0,1,2,3

d)

Greater than 5

14.

as per euclid division lemma when divisor is 3 then possible integers are____

a)

3q,3q+1,3q+2

b)

3q+1,3q+2,3q+3

c)

3,4,5,6

d)

None

15.

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