Question

BMA's Talent & Olympiad Exams Resource
When a number is increased by 8, it
is divisible by 35. What is the
remainder when the same number
is divided by 5?
(A) 2
(B) 4
(D) O
(C) 3​

Answer 1

Answer :-

Let's first find factors of 35 :-

Factors of 35 = 1 , 5 , 7 , 35

So, if a number is increased 8, it should be any of the factors of 35, so that the number is divisible.

Let's suppose the number is x -

x + 8 should be either 1 , 5 , 7 or 35

→ x + 8 = 1 is not possible as we will get negative value of x.

→ x + 8 = 5 is also not possible.

→ x + 8 = 7 is also not possible

→ x + 8 = 35 is possible

→ x = 35 - 8

→ x = 27

So, the number is 27

Remainder when 27 is divided by 5 = 2

Required answer = 2 ( option A )