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

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

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13 Aug 2018, 04:04
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5% (low)

Question Stats:

94% (00:49) correct 6% (00:45) wrong based on 47 sessions

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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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13 Aug 2018, 04:41
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.
D
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x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

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13 Aug 2018, 05:59
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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13 Aug 2018, 09:11
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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18 Aug 2018, 18:26
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.

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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, 18:26
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# x and h are both positive integers. When x is divided by 7, the quotie

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