OPSC OAS Prelims 2022 GS Paper 2 Solved Question Paper

1. Find the greatest 6- digit number among the following which is exactly divisible by 24, 15 and 36.
(A) 999999
(B) 999720
(C) 999750
(D) 999820

Ans: (B) 999720

Solution:  Find the Greatest 6-Digit Number Divisible by 24, 15, and 36

To find the greatest 6-digit number among the given options that is exactly divisible by 24, 15, and 36, we first need to determine the Least Common Multiple (LCM) of these numbers.

Step 1: Prime Factorization

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Step 2: Find the LCM

LCM is found by taking the highest powers of all prime factors:

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Step 3: Check the Options

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This is not an integer, so 999999 is not divisible by 360.

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This is an integer, so 999720 is divisible by 360.

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This is not an integer, so 999750 is not divisible by 360.

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This is not an integer, so 999820 is not divisible by 360.