Question

Statement (A): The H.C.F of 150, 180 and 200 is 10. Statement (B): The L.C.M of 1,2,3 is 6. a) Both A and B are true b) Both A and B are false c) A is true and B is false d) A is false and B is true​

Answer 1

Answer:

We know that H.C.F. between the numbers is the ‘highest common factors’ between two numbers while L.C.M. is the ‘lowest common multiple’ of that numbers.

Two numbers with both H.C.F. as 16 and L.C.M. as 380 is not possible. 380 is the L.C.M. must be exactly divisible by 16 as their H.C.F.

i.e ( HCF of the numbers must be a factor of the LCM.)

But

16

380

=23.75

The answer is in decimal. Thus, L.C.M. 380 is ‘not divisible’ by H.C.F. 16 of two numbers. The given condition is not possible.

Step-by-step explanation:

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Answer 2

Answer:

option a)

both A and B are true statements.