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# When x − p is divided by p + 1, the quotient is n and there is no rema

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Math Expert
Joined: 02 Sep 2009
Posts: 50572
When x − p is divided by p + 1, the quotient is n and there is no rema  [#permalink]

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07 Feb 2016, 09:48
2
00:00

Difficulty:

15% (low)

Question Stats:

89% (01:27) correct 11% (01:42) wrong based on 101 sessions

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When x − p is divided by p + 1, the quotient is n and there is no remainder. Which of the following must be the value of x?

A. n(p +1)
B. n(p − 1)
C. p(n + 1)
D. p(n + 1) + n
E. n(p + 1) (p − 1)

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Re: When x − p is divided by p + 1, the quotient is n and there is no rema  [#permalink]

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09 Feb 2016, 06:46
x - p = (p + 1)n
x = np + n + p
x = p(n + 1) + n

Intern
Joined: 07 Jul 2014
Posts: 11
Re: When x − p is divided by p + 1, the quotient is n and there is no rema  [#permalink]

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10 Feb 2016, 03:24
Bunuel wrote:
When x − p is divided by p + 1, the quotient is n and there is no remainder. Which of the following must be the value of x?

A. n(p +1)
B. n(p − 1)
C. p(n + 1)
D. p(n + 1) + n
E. n(p + 1) (p − 1)

Given in question (x-p)/p+1= n
=> x-p= n(p+1)
=>x= np+n+p
or x= np+p+n

Now we are good to check the options

x= p(n+1) + n

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Joined: 09 Sep 2013
Posts: 8757
Re: When x − p is divided by p + 1, the quotient is n and there is no rema  [#permalink]

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09 Dec 2017, 02:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: When x − p is divided by p + 1, the quotient is n and there is no rema &nbs [#permalink] 09 Dec 2017, 02:32
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