- A28 and 105
- B56 and 70
- C42 and 105
- D42 and 70
Step-by-Step Solution
Write the numbers as and with a, co-prime; then LCM = gives , so (a, b) = (3, 5) or (1, 15). The pair 42 and 70 fits: HCF = 14, LCM = 210, and . Watch the near-misses - 42 and 105 have the right LCM (210) but HCF 21, while 56 and 70 have the right HCF (14) but LCM 280; 28 and 105 give HCF 7 and LCM 420.
Answer: D) 42 and 70