If the hcf of two numbers a and b is 1 then a and b always = (1)even natural numbers (2)odd natural numbers (3) co prime numbers (4) even number andodd number respctivel

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Q. The LCM and HCF of two natural numbers are 480 and 12 respectively. If the numbers are in the ratio 5 : 8 and numbers are given by A and B, then find the absolute value of A - B.

A

and

B

are two sets such that

A

= Set of all prime numbers and

B

= Set of all even natural numbers,
then find

A \cap B .

Q. If n is a natural number, then

\sqrt{n}

is

(a) always a natural number
(b) always an irrational number
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(d) sometimes a natural number and sometimes an irrational number

Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

If U = {x: x is a natural number and x ≤ 10},
A = {a: a is an even natural number and a < 10}, and B = {b: b is a prime number and b ≤ 9}, then find A' ∩ B'.

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