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 ?

Explanation

The value of p is 55 \times 4 + 0 = 220. Using the relation p \times q = \text{HCF} \times \text{LCM}, we get 220 \times q = 44 \times 4620. Solving for q gives (44 \times 4620) / 220 = 4620 / 5 = 924.

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