Numbers and

Question

when an integer r is divided by 5 the remainder is 2. If the product of 7 and r is divided by 5 what would the remainder be? 

Answer 1

The number is 5x+2 where x=1,2,.....

 

7times the number is 35x+14=35x+2*5+4

 

So the remainder will be always  4

Answer 2

Hi Sarika,

 

Suppose integer 12(ie. r) divided by 5, we get remainder 2

 

Now 12* 7 divided by 5 , means 84/5, we get remainder 4.

 

take 2nd eg, 

 

r=22, 22/5   , remainder would be 2.

 

now 7*r = 7* 22=154, 154/5, remainder would be 4.