Question

If (a + 3) / 5 is an integer, what is remainder when ‘a’ is divided by 5?
A. 1
B. 2
C. 3
D. 4
E. 5

Answer 1

sry 2

Answer 2

Sorry. But can u explain how? ^^'

Answer 3

yes

Answer 4

for an integer the remainder of (a+3)/5 must be zero

Answer 5

possible values of a=2,7,12,17..........

Answer 6

dividend =quotent *divisor +remainder

Answer 7

(a+3)=q*5+r

Answer 8

but r=0

Answer 9

a+3=q*5

Answer 10

a=q*5-3

Answer 11

now substitute q =1,2,3,4,5....
u will get a=2,7,12,17....

Answer 12

hence the answer is 2

Answer 13

Sorry Brother. I still dont quite get it. To be honest.. I dont even know what they are asking for in the question.

Answer 14

a+3 = 5k

a = -3 + 5k
= (2-5) + 5k
= 2 +5(k-1)
= 2 + 5m

Answer 15

so "a" leaves a remainder "2" when divided by 5

Answer 16

u know what integer means?

Answer 17

To be Honest. Nope @mathmath333 . And what is k? @geneshie8

Answer 18

well integer means a number which has no denominator ,like ...-3,-2,-1,0,1,2,3.......

Answer 19

where as 1/2 ,2/3 ,1/3 are not integers

Answer 20

1/2=0.5 it leaves decimal

Answer 21

I see.. I get it.

Answer 22

hence for the result of (a+3)/5 to be integer it should not have denominator that is it should not have any decimal

Answer 23

I see..

Answer 24

hope u got it

Answer 25

More or less..

Answer 26

"what is remainder when a is divided by 5 ?" What does this line means?

Answer 27

Oh well.. Thanks anyway brother.

Answer 28

for ex if 4 is divided by 2 the remainder is 0

Answer 29

I guess it is.