The HCF and LCM of two numbers p and q are 44 and 4620 respectively. When p is divided by 55, the quotient is 4 and remainder is 0. What is the value of q?
A.770
B.924✓ Correct
C.1155
D.2310
Explanation
When p divided by 55 gives quotient 4 and remainder 0, p = 55 × 4 = 220. We know HCF × LCM = p × q, so 44 × 4620 = 220 × q. Thus q = (44 × 4620)/220 = 203280/220 = 924.
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