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# The number of books read by 7 students is 10,5,p,q,r,29 and

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Manager
Joined: 16 Mar 2010
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The number of books read by 7 students is 10,5,p,q,r,29 and  [#permalink]

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16 Sep 2010, 21:51
1
00:00

Difficulty:

35% (medium)

Question Stats:

80% (00:42) correct 20% (00:53) wrong based on 92 sessions

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The number of books read by 7 students is 10,5,p,q,r,29 and 20. what was the range of books read by 7 students?
1. 5<p<q
2. p<r<15

Can someone explain why the answer can not be C?

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16 Sep 2010, 22:03
1
Statement 1 tells you that p and q are larger than 5, but doesn't tell you if they're smaller than 29, so you don't know the largest number in the set. You also don't know the value of r.

Statement 2 tells you that p and r are smaller than 15, but doesn't tell you if they're larger than 5, so you don't know the smallest number in the set. You also don't know the value of q.

Putting them together, you know p and r are between 5 and 15, which tells you that 5 is the smallest number in the set (since you know from Statement 1 that p<q), but you still don't have a value for q, so you don't know the largest number in the set.
Manager
Joined: 09 Jun 2015
Posts: 92
Re: The number of books read by 7 students is 10,5,p,q,r,29 and  [#permalink]

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17 Mar 2016, 03:22
amitjash wrote:
The number of books read by 7 students is 10,5,p,q,r,29 and 20. what was the range of books read by 7 students?
1. 5<p<q
2. p<r<15

Can someone explain why the answer can not be C?

Obviously we cannot answer from 1 alone or 2 alone.
combining, 5<p<15; p is fixed and that will not change the range 29-5=24
since p>5 and p<r<15, r is also fixed and that will not change the range 29-5=24
However, we do not the value of q which can be less than or equal to or greater than 29
That might change the range. We are not getting a unique answer.
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Re: The number of books read by 7 students is 10,5,p,q,r,29 and  [#permalink]

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10 Dec 2017, 03:03
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Re: The number of books read by 7 students is 10,5,p,q,r,29 and &nbs [#permalink] 10 Dec 2017, 03:03
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# The number of books read by 7 students is 10,5,p,q,r,29 and

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