assertion the hcf of two number is 16 and their product is 3072 and their lcm 162
reason if a and b are two positive integers then hcf into lcm is equal to a into b
Answers
a reason is standard result
LCM: 3072/16= 192
so LCM is not equal to 162
Given : Assertion: The HCF of two numbers is 16 and their product is 3072 then their LCM is 162
Reason: a, b are two positive integers, then LCM X HCF = a x b
To Find : Comments on Assertion and Reason
Solution:
Reason: a, b are two positive integers, then LCM X HCF = a x b
TRUE
Reason is True
Assertion: The HCF of two numbers is 16 and their product is 3072 then their LCM is 162
HCF( a, b) * LCM ( a, b) = a * b
=> 16 * LCM ( a, b) = 3072
=> LCM = 3072/16
=> LCM = 192
192 ≠ 162
so Assertion is FALSE
Assertion is FALSE and Reason is True
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