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If x and y are positive integers and x = 10y + 5, what is

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by Jay@ManhattanReview » Mon Apr 15, 2019 11:42 pm
BTGmoderatorDC wrote:If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5?

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

OA A

Source: Manhattan Prep
We have x = 10y + 5

=> x = 5(2y + 1)

We see that x is divisible by 5; thus, x divided by 5 will leave a remainder of 0.

The correct answer: A

Hope this helps!

-Jay
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by Brent@GMATPrepNow » Tue Apr 16, 2019 5:33 am
BTGmoderatorDC wrote:If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5?

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

OA A

Source: Manhattan Prep
GIVEN: x = 10y + 5
Factor out 5 to get: x = 5(2y + 1)
We can see that x is a multiple of 5, which also means x is divisible by 5, which means the remainder will by ZERO when x is divided by 5

Answer: A

Cheers,
Brent
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by Scott@TargetTestPrep » Wed Apr 17, 2019 5:43 pm
BTGmoderatorDC wrote:If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5?

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

OA A

Source: Manhattan Prep

x/5 = (10y + 5)/5 = 2y + 1.

Since y is an integer, the quotient 2y + 1 is an integer. So the remainder is 0.

Answer: A

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