Correct Answer - Option 4 : Either 9 or 4
Given:
A number, when divided by 35, gives 14 as a remainder
Calculation:
According to the question:
The number can be written in the form 35x + 14; x = any whole number
Also, we know that a number having unit digit as 5 can only have 0 or 5 as a unit digit in its multiple
⇒ 35x, if divided by 10 can give a remainder of unit digit as 5 or 0
Also, 14 gives 4 as a remainder when divided by 10
This provides us with two cases of remainders 4 or (5 + 4) = 4 or 9
∴ 35x + 14 can give both 4 or 9 as a remainder when divided by 10
