SSC CGL 2024 PYQ — Question 75

SSC CGL - 12 Sep 2024 - Shift 1 • Quantitative Aptitude • Q75

If the number 72864*@ is divisible by both 8 and 5, then what digits will come in place of * and @ respectively?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 4 and 0.

Divisibility rule of 8:- A number is divisible by 8 if the last three digits of the number are divisible by 8 or are zeros.

Divisibility rule of 5:- A number is divisible by 5 if its last digit is 0 or 5.

The number is 72864*@

So, @ = 0, 5  [if 5 will be the last digit then, it will not be divisible by 8] 

So, @ = 0

The digit is 72864*0

Last 3 digits = 4*0

So, for * = 4 [440 is divisible by 8]

Hence,

The value of * and @ are 4 and 0 respectively