"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​

Respuesta :

Answer:

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

Step-by-step explanation:

Let us take the number 7 and divide it by 4

[tex]\frac{7}{4}[/tex]

We know that

  • [tex]Quotient\frac{Remainder}{Divisor}[/tex]

as

[tex]\frac{7}{4}=1\frac{3}{4}[/tex]

so the remainder is 3.      ∵ [tex]Quotient\frac{Remainder}{Divisor}[/tex]

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.