Question

"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?

(a) The number is not a perfect square.
(b) The number is a perfect square.
(c) The number is a prime number.
(d)None of these​

Answer 1

As the number is a prime number. Therefore, option 'c' is true.

Explanation:

Let us take the number 7 and divide it by 4

`(7)/(4)`

We know that

• 
  `Quotient(Remainder)/(Divisor)`

as

`(7)/(4)=1(3)/(4)`

so the remainder is 3. ∵
`Quotient(Remainder)/(Divisor)`

As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.

Thus, the number is a prime number. Therefore, option 'c' is true.