What is the least number when divided by 4, 5, 6, 8 and 10 leaves 3 as remainder?

• A. 123
• B. 121
• C. 112
• D. 116

Answer: (A)

 The least number which when divided by 4,5,6,8 and 10 is the LCM of these numbers. But each time  to get 3 as remainder, we have to add the remainder 3 to the obtained LCM.LCM of (4, 5, 6, 8, 10)+ 3=120+3=123