Real numbers
Grade Class 10
Question:
<p>If the HCF (2520, 6600) = 40 and LCM (2520, 6600) = 252 <span class="math-tex">\(\times\)</span> k, then the value of k is</p>
<p style="display:inline">1650</p>
<p style="display:inline">165</p>
<p style="display:inline">1600</p>
<p style="display:inline">1625</p>
Step-by-Step Solution
Key Concept: The product of two positive integers is always equal to the product of their HCF and LCM.
<p>We know that<br />
HCF <span class="math-tex">$\times$</span> LCM = <span class="math-tex">$N_1 \times N_2$</span><br />
<span class="math-tex">$40 \times 252 {~K}=2520 \times 6600$</span><br />
<span class="math-tex">$K=\frac{2520 \times 6600}{40 \times 252}$</span><br />
K = 1650</p>
Correct Answer: A