What is the smallest number which leaves remainder 3 when divided by any of the numbers 7, 9 or 10, but leaves no remainder when it is divided by 9?
Answer & explanation
Correct answer: option 2
LCM(7, 9 and 10)
⇒ LCM = 630
⇒ required number = 630+ 3
⇒ 603
603 is also divisible by 9
∴ 603 is the least number divided by 5, 6, 8 gives remainder 3.