Question

When the sum of digits of an even number is 36. then that number is always divisible by?

Answer 1

Then the number is always divisible by 2. How to Find N = (First Even + Last Even)/2 – 1. Example: 2+4+6+ ....... 100. N = (2+100)/2 - 1 = 50. Sum of first 50 positive even integers = (50)(51) = 2550.

Sum Of Odd Numbers: If N = number of odd terms then sum = (N)^2 Example: first 6 odd numbers 1,3,5,7,9,11 6 digits so (6)^2=36

Answer 2

Answer: D

Step-by-step explanation:

We know that the number whose sum of digits is 36 always divisible by 9 and the number is even so the number is also divisible by 2, therefore the number is always divisible by 18, because 18 is a factor of both 9 and 2. So number is divisible by both 9 and 18. Therefore, option(D) is the correct answer

Source: https://academyera.com/gate-questions-for-cse-gate-cse-practice-questions