Railway Recruitment Board Mathematics — Question 1685
Question
What is the smallest number which, when divided by 5, 6 and 8, leaves a remainder of 3 in each case?
- 123
- 118
- 120
- 243
Correct answer
A — 123
Explanation (English)
LCM(5,6,8) = 120. A number leaving remainder 3 with each = 120k + 3. Smallest positive value = 120 + 3 = 123. Check: 123÷5=24 r3, 123÷6=20 r3, 123÷8=15 r3.
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