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Standard X

Mathematics

Number Theory: Interesting Results

Assertion :If...

Question

Assertion :If L.C.M. {p, q} $=$ 30 and H.C.F {p, q} $=$ 5, then p.q $=$ 150 Reason: L.C.M. of (a, b) $\times$ H.C.F of (a, b) $=$ a.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 A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$p \times q = L C M (p, q) \times H C F (p, q) = 30 \times 5 = 150$
Hence, given statement is correct.
And the reason purely justifies the assertion as well.
Option A

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Assertion :If L.C.M. {p, q}= 30 and H.C.F {p, q} = 5, then p.q = 150 Reason: L.C.M. of (a, b) × H.C.F of (a, b) = a.b.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertionp×q=LCM(p,q)×HCF(p,q)=30×5=150Hence, given statement is correct.And the reason purely justifies the assertion as well.Option A

Assertion :If L.C.M. {p, q} $=$ 30 and H.C.F {p, q} $=$ 5, then p.q $=$ 150 Reason: L.C.M. of (a, b) $\times$ H.C.F of (a, b) $=$ a.b.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$p \times q = L C M (p, q) \times H C F (p, q) = 30 \times 5 = 150$
Hence, given statement is correct.
And the reason purely justifies the assertion as well.
Option A