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Standard X

Mathematics

Sequences, Series and Progressions

Assertion :Th...

Question

Assertion :The $L . C . M$ of any two distinct prime numbers is their product. Reason: The $L . C . M$ of two coprimes is their sum.

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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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
The L.C.M of two distinct prime numbers is their product.
The L.C.M of two co-prime numbers is equal to their product.
Hence Assertion is correct but Reason is incorrect.

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(e) Assertion is incorrect but reason is correct.

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Assertion :The L.C.M of any two distinct prime numbers is their product. Reason: The L.C.M of two coprimes is their sum.

The correct option is C Assertion is correct but Reason is incorrectThe L.C.M of two distinct prime numbers is their product.The L.C.M of two co-prime numbers is equal to their product.Hence Assertion is correct but Reason is incorrect.

Assertion :The $L . C . M$ of any two distinct prime numbers is their product. Reason: The $L . C . M$ of two coprimes is their sum.

The correct option is C Assertion is correct but Reason is incorrect
The L.C.M of two distinct prime numbers is their product.
The L.C.M of two co-prime numbers is equal to their product.
Hence Assertion is correct but Reason is incorrect.