Real numbers
Grade Class 10
Question:
<p><strong>Assertion (A):</strong> No two positive numbers can have 18 as their H.C.F and 380 as their L.C.M.<br />
<strong>Reason (R):</strong> L.C.M. is always completely divisible by H.C.F.</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 Highest Common Factor (HCF) of two or more positive integers must always be a factor of their Least Common Multiple (LCM).
<p>380 is not divisible by 18.</p>
Correct Answer: A