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When positive integer k is divided by 35, the remainder is

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by Jay@ManhattanReview » Mon Apr 15, 2019 11:40 pm
BTGmoderatorDC wrote:When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?

A. 5
B. 7
C. 11
D. 14
E. 21

OA B

Source: Veritas Prep
Say when the positive integer k is divided by 35, the quotient is q and the remainder is 14. Then, we have

k = 35q + 14
k = 7(5k + 2)

We see that k must be a multiple of 7 or divisible by 7.

The correct answer: B

Hope this helps!

-Jay
The correct answer: [spoiler][/spoiler]

Hope this helps!

-Jay
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by swerve » Tue Apr 16, 2019 10:43 am
\(K = 35Q+14\)

When \(Q = 1\)

\(K = 49 \cdots \) it is divisible by \(7\)

When \(Q = 2\)

\(K = 84 \cdots\) it is divisible by \(7\) and \(21\)

When \(Q = 3\)

\(K = 109\).

it is divisible by \(7 \cdots \)

Therefore, __B__ is the correct answer.
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by Scott@TargetTestPrep » Wed Apr 17, 2019 5:45 pm
BTGmoderatorDC wrote:When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?

A. 5
B. 7
C. 11
D. 14
E. 21

OA B

Source: Veritas Prep

We can create the following equation:

k = 35Q + 14

We see that 35Q + 14 is divisible by 7.

Answer: B

Scott Woodbury-Stewart
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[email protected]

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