Quantitative Aptitude • Number System & SimplificationHard
What is the smallest number greater than 15 which, when divided by 6, 9 and 15, leaves a remainder of 2 in each case?
A. 182
B. 88
C. 92✓ Correct Answer
D. 90
💡 Solution & Explanation
A number that leaves the same remainder 2 with each divisor is (a common multiple of 6, 9 and 15) + 2. The smallest common multiple is the LCM: LCM(6, 9) = 18 and LCM(18, 15) = 90. So the number is 90 + 2 = 92. (2 itself also leaves remainder 2, but it is not greater than 15.) Check: 92 ÷ 6 leaves 2, ÷ 9 leaves 2, and ÷ 15 leaves 2.
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