Real numbers
Grade Class 10
Question:
<p><strong>Assertion (A):</strong> If L.C.M. {p, q} = 30 and H.C.F. {p, q} = 5, then <span class="math-tex">\(p \cdot q\)</span> = 150<br />
<strong>Reason (R):</strong> L.C.M. of (a, b) <span class="math-tex">\(\times\)</span> H.C.F. of (a, b) = <span class="math-tex">\(a \cdot b\)</span></p>
<p style="display:inline">Both A and R are true and R is the correct explanation of A.</p>
<p style="display:inline">Both A and R are true but R is not the correct explanation of A.</p>
<p style="display:inline">A is true but R is false.</p>
<p style="display:inline">A is false but R is true.</p>
Step-by-Step Solution
Key Concept: The product of two positive integers is always equal to the product of their Least Common Multiple (LCM) and Highest Common Factor (HCF).
<p>Both A and R are true and R is the correct explanation of A.</p>
Correct Answer: A