2026 · Q23
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?
Elementary MathematicsHCF and LCM
- A770
- B924
- C1155
- D2310
Explanation
From the division, p=55×4=220. Using p·q=HCF×LCM: q=44×4620/220=44×21=924, option B. Guessing q as a mere factor of the LCM, without using p·q=HCF×LCM, leads to the distractors.