What is the sum of the digits of the largest five digit number which is divisible by 5 35 39 and 65 ........

Quantitative Aptitude (CGL) Number System

What is the sum of the digits of the largest five digit number which is divisible by 5, 35, 39 and 65?

This questions was previously asked in

SSC CGL 20th August 2021 Shift-2

To solve for the correct option, we need to follow these steps:

- Identify the Largest Number Conditions: The largest five-digit number is 99,999.

- Find the Least Common Multiple (LCM): We must find the LCM of 5, 35, 39, and 65.

- LCM of 5 and 35 = 35 as 35 is a multiple of 5.

- LCM of 39 and 65 = 195 as 195 is divisible by both 39 and 65.

- LCM of 35 and 195 = 1365 (since LCM is calculated by ensuring coverage of all prime factors).

- Calculate the Largest Multiple: Divide 99,999 by 1365 and take the integer part, multiply it back by 1365, getting nearest largest number.

- Largest number = 1365 × 73 = 99,645.

- Sum the Digits: The sum of the digits of 99,645 is 9 + 9 + 6 + 4 + 5 = 33.

Correct Option: Option 2: 33

Answer: Option 2 - 33

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