Question

1. If a positive integer n is divided by 5, the remainder is 3. Which of the numbers below yields a remainder of 0 when it is divided by 5?



A) n + 3 B) n + 2 C) n - 1 D) n - 2 E) n + 1

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Answer 1

Answer:

n+2

because 2+3=5 so the remiander will become 0

Answer 2

given :  a positive integer n is divided by 5, the remainder is 3

To find: numbers which  yields a remainder of 0 when it is divided by 5

solution :

n divided by 5 yields a remainder equal  to 3

is written as follows :

n = 5k +3 ,

where k is an integer

add 2 both sides of the above equation to obtain

n+2 = 5k+5 = 5(k+1)

The above suggests that n+2 divided by 5 yields a remainder equal to zero

hence , option(B)

n+2

#Learn more :

Sum of two digit numbers which when divided by 3 yield 1 as remainder

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