Question

Assertion : For any two positive integer a and b, HCF (a, b) x LCM (a, b ) = axb Reason: HCF of two numbers 5, product is 150 and LCM is 40
a) Both Assertion and Reason are correct, but the reason is correct explanation for the assertion

b) Both Assertion and Reason are correct, but the reason is not the correct explanation for the assertion
c) Assertion is incorrect, but the reason is correct
d) Assertion is correct, but reason is incorrect​

Answer 1

Answer:

c) Assertion is incorrect, but the reason is correct

The reason given is the standard result, so it is true.

LCM=3072/16=192

LCM is not equal to 162, thus assertion is incorrect.

Option D

hope it helps you!!

Answer 2

Solution :-

Assertion : For any two positive integer a and b, HCF (a, b) x LCM (a, b ) = a x b .

• for any two numbers , product of their HCF and LCM is always equal to product of those two numbers .
• So, HCF (a, b) x LCM (a, b ) = a x b

Therefore, Assertion is correct .

Reason : HCF of two numbers 5, product is 150 and LCM is 40 .

→ HCF × LCM = Product of two numbers

→ 5 × 40 = 150

→ 200 ≠ 150

Since product of two numbers is not equal to their HCF and LCM product .

Therefore , Reason is incorrect .

Hence, Option (d) Assertion is correct, but reason is incorrect .

Learn more :-

let a and b positive integers such that 90 less than a+b less than 99 and 0.9 less than a/b less than 0.91. Find ab/46

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