Multiple Choice Questions

A number when divided by 15 and 18 every time leaves 3 as a remainder the least possible number is ........

Quantitative Aptitude (CPO) Number System

A number, when divided by 15 and 18 every time, leaves 3 as a remainder, the least possible number is:

This questions was previously asked in

SSC CPO 9th Nov 2022 Shift 1

103

- To solve the problem, we need a number that, when divided by both 15 and 18, leaves a remainder of 3.

- First, find the Least Common Multiple (LCM) of 15 and 18. The LCM is 90.

- We're looking for a number of the form 90k + 3, where k is an integer, that is the smallest.

- Evaluating the options:

- Option 1: 83 – $83 \div 15 = 5$ remainder 8. $83 \div 18 = 4$ remainder 11.

- Option 2: 103 – $103 \div 15 = 6$ remainder 13. $103 \div 18 = 5$ remainder 13.

- Option 3: 39 – $39 \div 15 = 2$ remainder 9. $39 \div 18 = 2$ remainder 3.

- Option 4: 93 – $93 \div 15 = 6$ remainder 3. $93 \div 18 = 5$ remainder 3.

- Therefore, the smallest number that satisfies the condition is 93.

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