Question

Amrita is dividing a very large number by 4. What is the maximum remainder that she can get?
A) 3
B) 4
C) 5
D) We can't say, it depends on how large the number is.
please explain why is option A) 3 is the answer. and why are others not the answer

Answer 1

The answer is option (A) because only 3 is the number which cannot be divided by four. 5 Still has a four in it(4+1=5), therefore if it can't be the remainder. 4 Also cannot be the remainder because it is divisible by 4. Actually, a remainder must be smaller than the divisor. Since 3 is the only number smaller than 4 here,3 is the correct answer.

Answer 2

Hey

When we divide any number by 4 , then chance of getting remainders are

:- Possible remainders =

0 , 1 , 2 , 3 .

So basically either the number will be completely divisible , or the number will have remainders like 0 or 1 or 2 or 3 .

Let's check out ,

• Suppose 4 comes as remainder , then when dividing by 4 again it will give remainder 0 .

• Suppose remainder comes 5 , then again by dividing by 4 we will get remainder as 1 .

• Suppose the remainder comes as 6 , then by dividing again we will get 2 as remainder .

• Suppose 7 comes as remainder , then by dividing again we will get 3 as remainder .

• Again when 8 comes as remainder then by dividing it we will get 0 .

So , basically we will get only four values that are 0 , 1 , 2 , 3 .

And largest of them is 3 .

So ans is 3 ( here ) .

thanks :)