Assertion :The H.C.F. of two numbers is 16 and their product is 3072. Then their L.C.M $=$ 162. Reason: If a, b are two positive integers, then $H . C . F . \times L . C . M . = a \times b$ .

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is D Assertion is incorrect but Reason is correct
The reason given is the standard result, so it is true.
$L C M = 3072 / 16 = 192$
LCM is not equal to 162, thus assertion is incorrect.
Option D

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Assertion :The H.C.F. of two numbers is 16 and their product is 3072. Then their L.C.M = 162. Reason: If a, b are two positive integers, then H.C.F.×L.C.M.=a×b.

The correct option is D Assertion is incorrect but Reason is correctThe reason given is the standard result, so it is true.LCM=3072/16=192LCM is not equal to 162, thus assertion is incorrect.Option D

Assertion :The H.C.F. of two numbers is 16 and their product is 3072. Then their L.C.M $=$ 162. Reason: If a, b are two positive integers, then $H . C . F . \times L . C . M . = a \times b$ .

The correct option is D Assertion is incorrect but Reason is correct
The reason given is the standard result, so it is true.
$L C M = 3072 / 16 = 192$
LCM is not equal to 162, thus assertion is incorrect.
Option D