Question

State whether the following are true or false :- (a)HCF of two natural number is a natural number
(b)HCF of two even number is an even number is a even number
(c)LCM of two odd number is an even numbers
(d) LCM of two even number is an odd number
(e) LCM of two or more number is the smallest number that is a multiple of both the number
(f) 91 is a composite number
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Answer 1

Answer:

A) True

B)True

C) Flase

D)Flase

E)True

FTrue

Answer 2

(a) True

HCF of two natural numbers will always be a natural number.

(b) True

HCF of two even numbers will be even.

(c) False

LCM of two odd numbers need not always be even.

eg. LCM (5,3) = 15

     LCM (9,15) = 45

(d) False

LCM of two even numbers will be even.

eg. LCM (4,6) = 12

     LCM (8,12) = 24

(e) True

(f) True

Factors of 91 = 1 , 7 , 13 , 91