If 2 is the remainder when m is divided by 5, what is the remainder

Question

If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?

A. 0 
B. 1 
C. 2
D. 3
E. 4

chetan2u · Answer

hi,
If 2 is the remainder when m is divided by 5, m can end with 7 or 2..
so 3m will end with.. 3*7 or 3*2 that is 1 or 6..
therefore any number with last digit 1 or 6 when divided by 5 will always leave 1 as remainder.
ans B

GMATinsight · Answer

Let's find a number which when divided by 5 leaves remainder 2 = 5+2 = 7

i.e. one possible value of m = 7

value of 3m = 3*7 = 21

when em is divided by 5 then remainder = Rem (21/5) = 1

Answer: option B

MathRevolution · Answer

Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?

A. 0 
B. 1 
C. 2
D. 3
E. 4

We can put m=5*k+2. 
So 3*m=15*k+6 ---> 15*k+6 = 5*(3*m+1) +1 ---> The remainder is 1.

The answer is, therefore, (B).

OC2910 · Answer

We can say

m=5a+2
.multiplying 3 on both side
3m=15a+6
Now divide by 5 through out m and 15a are multiples of 5 so remainder will be obtained from 6/5 remainder = 1

asethi · Answer

2 is the remainder when m is divided by 5,
So 'm' will be 2, 7, 12 and so on.

what is the remainder when 3m is divided by 5..
putting all the values of m, we will get 1

Ans:B

kamuju · Answer

When 'm' is divided by 5 remainder is 2, also there must be a coefficient, say 'a'
So 'm' can be written as "m=5a+2"
To find remainder when 3m divided by 5, we can write (15a+6)/5 
The term 15a being a multiple of 5 gives no remainder hence 6/5 is the only term which gives the remainder 1.
Answer: B

gracie · Answer

if m/5 leaves a remainder of 2,
then 3m/5 leaves a remainder of 3*2-5=1

BrushMyQuant · Answer

2 is the remainder when m is divided by 5

Theory: Dividend = Divisor*Quotient + Remainder

m -> Dividend
5 -> Divisor
a -> Quotient (Assume)
2 -> Remainders
=> m = 5*a + 2 = 5a + 2

what is the remainder when 3m is divided by 5

3m = 3*(5a + 2) = 5*3a + 6 = 5*3a + 5 + 1 = 5*(3a + 1) + 1
=> 3m when divided by 5 gives 3a + 1 as quotient and 1 as remainder

So,  Answer will be B 
Hope it helps!

Watch the following video to learn the Basics of Remainders

https://www.youtube.com/watch?v=P0S6j2uTaj4

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If 2 is the remainder when m is divided by 5, what is the remainder

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If 2 is the remainder when m is divided by 5, what is the remainder

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