SSC CPO 2022 PYQ — Question 133

SSC CPO - 10 Nov 2022 - Shift 1 • Quantitative Aptitude • Q133

The number 150328 is divisible by 23. If the digits are rearranged in descending order and five times of 13 is subtracted from the new number thus formed, then the resultant number will be divisible by:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 5

The number given to us is 150328.

If we arrange these numbers in descending order then the resultant number is:-

⇒ 853210

We know, 13 times 5 is 65.

Subtracting 65 from the number above we arranged is

⇒ 853210 - 65 = 853145

This number is neither divisible by 2, 3, and 11

But it is divisible by 5

as

⇒853145/5 = 170629