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x and h are both positive integers. When x is divided by 7, the quotie

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x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

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New post 13 Aug 2018, 05:04
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x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57

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Re: x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

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New post 13 Aug 2018, 05:41
From the question X = 7H+3.
Since H is an integer. Put H=0,1,2,3,4,5,6....etc.
Then X = 3,10,17,24,31,38,45,52,59.
Hence 52 is the answer.
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x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

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New post 13 Aug 2018, 06:59
Bunuel wrote:
x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57

\(x = 7h + 3\)

Now, The possible values of x are \({ 10, 17 , 24, 31, 38 , 45, 52....................}\)

Thus, Answer must be (D) 52
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Re: x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

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New post 13 Aug 2018, 10:11
Bunuel wrote:
x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57


This question can be translated into the following one:

\(\frac{x}{7} = h + 3\)


x = 7h + 3 .

Option D: 7*7 + 3 = 52

So, x is 52.

The best answer is D.
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Re: x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

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New post 18 Aug 2018, 19:26
Bunuel wrote:
x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57


We can create the equation:

x = 7h + 3

We see x is 3 more than a multiple of 7, so x could be 52 since 7 x 7 + 3 = 52.

Answer: D
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Re: x and h are both positive integers. When x is divided by 7, the quotie &nbs [#permalink] 18 Aug 2018, 19:26
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