1. Which of the following is irrational?

(a) (2 - 3)²
(b) (`\sqrt{2}` + `\sqrt{3}`)²
(c) (`\sqrt{2}` - `\sqrt{3}`) (`\sqrt{2}` + `\sqrt{3}`)
(d) `\frac{2\sqrt{7}}{\sqrt{7}}`

2. The product of a rational and irrational number is

(a) Rational
(b) Irrational
(c) Both of the above
(d) None of the above

3. The decimal form of `\frac{64}{455}` is

(a) Terminating
(b) Non-terminating repeating
(c) Non-terminating non-repeating
(d) None of the above

4. The HCF of 8, 9, 25 is

(a) 8
(b) 9
(c) 25
(d) 1

5. The decimal expansion of the rational number `\frac{97}{50}` will terminate after

(a) One decimal place
(b) Two decimal places
(c) Three decimal places
(d) Four decimal places

6. Which is the largest number which divides 60 and 75 leaving remainders 8 and 10 respectively

(a) 260
(b) 75
(c) 65
(d) 13

7. HCF(16,y) = 8 and LCM(16,y) = 48 then the value of y is

(a) 24
(b) 16
(c) 8
(d) 48

8. What is the LCM of given numbers x and y when y is a multiple of x

(a) x
(b) y
(c) xy
(d) xy

9. A rational number between `\frac{3}{5}` and `\frac{4}{5}` is:

(a) 7 5
(b) 7 10
(c) 3 10
(d) 4 10

10. The product of three consecutive positive integers is always divisible by

(a) 4
(b) 6
(c) No common factor.
(d) Only 1
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