Real Numbers-Sample Questions

Sample Paper
REAL NUMBERS

1. Has the rational number

a terminating or a non-terminating decimal representation?

2. Prove that

is an irrational number.

3. (i) Find the LCM and HCF of 120 and 144 by using Fundamental Theorem of Arithmetic.
(ii)

find the values of m and n where m and n are non-negative integers.
Hence write its decimal expansion without actual division.

4. Prove that

is irrational.

5. Express the number

in the form of rational number

6. The LCM of 2 numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.

7. The decimal expansion of π is:

(a) terminating

(b) non-terminating and non-recurring

(d) doesn’t exist

8. Which of the following rational numbers have a terminating decimal expansion?

(a)

(b)

(c)

(d)

9. If the HCF of 55 and 99 is expressible in the form 55m � 99, then the value of m is:

(a) 4

(b) 2

(d) 3

10. Given that LCM (91, 26) = 182, then HCF (91, 26) is:

(a) 13

(b) 26

(d) 9