If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

[BTGModeratorVI]

If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6

Answer: E
Source: Manhattan prep

[Jay@ManhattanReview]

If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6

Answer: E
Source: Manhattan prep

Say n = 7 + 2 = 9

Thus, 3n = 27

We see that 27 divided by 7 has a remainder 6.

The correct answer: E

Hope this helps!

-Jay
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[Brent@GMATPrepNow]

If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6

Answer: E
Source: Manhattan prep

----ASIDE-------------------------
When it comes to remainders, we have a nice rule that says:
If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.
-----------------------------

In this case we are told that n divided by 7 leaves a remainder of 2
So the possible values of n are: 2, 9, 16, 23, etc....

So let's say n equals 2
The question becomes "What is the remainder when 3 times 2 is divided by 7?"
In other words, "What is the remainder when 6 is divided by 7?"
7 divides into 6 zero times, leaving a remainder of 6

Answer: E


Cheers,
Brent

[i256]

If n = 9

9 / 7 gives 2 as the remainder

3n = 27

27 / 7 gives us 6 as the remainder

[Scott@TargetTestPrep]

If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

A. 1
B. 2
C. 3
D. 5
E. 6

Answer: E

Solution:

We can let n = 2. Thus:

(3 x 2)/7 = 6/7 = 0 remainder 6.

Answer: E