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When positive integer p is divided by positive integer x,

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When positive integer p is divided by positive integer x,  [#permalink]

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New post Updated on: 18 Oct 2016, 13:03
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A
B
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D
E

Difficulty:

  55% (hard)

Question Stats:

65% (01:53) correct 35% (02:33) wrong based on 88 sessions

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When positive integer p is divided by positive integer x, the remainder is 5 and when positive integer q is divided by positive integer y, the remainder is 8. Which of the following is a possible value for x + y?

I.16
II. 15
III. 14

A. I and II only
B. II only
C. III only
D. II and III only
E. None

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Originally posted by stonecold on 18 Oct 2016, 12:00.
Last edited by stonecold on 18 Oct 2016, 13:03, edited 1 time in total.
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Re: When positive integer p is divided by positive integer x,  [#permalink]

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New post 18 Oct 2016, 12:00
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Re: When positive integer p is divided by positive integer x,  [#permalink]

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New post 20 Oct 2016, 05:10
1
stonecold wrote:
When positive integer p is divided by positive integer x, the remainder is 5 and when positive integer q is divided by positive integer y, the remainder is 8. Which of the following is a possible value for x + y?

I.16
II. 15
III. 14

A. I and II only
B. II only
C. III only
D. II and III only
E. None


Question says

p/x -- remainder is 5 => x is anything greater than 5. Minimum value of x could be 6.

q/y -- remainder is 8 => y is anything greater than 8. Minimum value of y could be 9.

Hence, the minimum value of x+y = 15. So, I and II are correct. Hence, A.
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Re: When positive integer p is divided by positive integer x,  [#permalink]

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New post 05 Aug 2019, 03:59
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Re: When positive integer p is divided by positive integer x,   [#permalink] 05 Aug 2019, 03:59
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