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P is a set of integers. If a is the average of the odd integers and b

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P is a set of integers. If a is the average of the odd integers and b  [#permalink]

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New post 03 Jul 2017, 05:02
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P is a set of integers. If a is the average of the odd integers and b is the average of the even integers in set P, what is the value of |a − b|?

(1) P consists of consecutive integers starting from 1.
(2) There are not more than 50 integers in the set P.

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Re: P is a set of integers. If a is the average of the odd integers and b  [#permalink]

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New post 03 Jul 2017, 06:23
Given data : (In set P)
a is the average of the odd integers
b is the average of the even integers

(1) P consists of consecutive integers starting from 1
Though we are given that the set contains consecutive integers, starting from 1.
We aren't told if the last of the integers is even or odd.
The value |a-b| will change based on the last integer.(Insufficient)

(2) There are not more than 50 integers in the set P
Knowing how many integers are there in the set,
we cannot determine the value of |a-b| (Insufficient)

On combining the information present in both the statements,
we cannot determine what the last number will be, which is mandatory
in order to find the value of expression |a-b| (Insufficient)(Option E)
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Re: P is a set of integers. If a is the average of the odd integers and b  [#permalink]

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New post 04 Jul 2017, 10:31
pushpitkc wrote:
Given data : (In set P)
a is the average of the odd integers
b is the average of the even integers

(1) P consists of consecutive integers starting from 1
Though we are given that the set contains consecutive integers, starting from 1.
We aren't told if the last of the integers is even or odd.
The value |a-b| will change based on the last integer.(Insufficient)

(2) There are not more than 50 integers in the set P
Knowing how many integers are there in the set,
we cannot determine the value of |a-b| (Insufficient)

On combining the information present in both the statements,
we cannot determine what the last number will be, which is mandatory
in order to find the value of expression |a-b| (Insufficient)(Option E)


Hi, I have a doubt. I agree that Statement 1 & 2 are not sufficient alone.

But if we combine, statement 1 says integers start from 1 and are consecutive. So set will be like 1,2,3,4,..... Statement 2 says integers are not more than 50, this means set should be 1,2,3,4,.....50. Here we know that set starts from 1 and ends at 50 and numbers are consecutive. Correct me if I am wrong with this reasoning.

Thanks
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P is a set of integers. If a is the average of the odd integers and b  [#permalink]

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New post Updated on: 04 Jul 2017, 10:47
I'm going to go with E here after some brute force testing:

(1) Testing sets {1}, {1,2}, {1,2,3} should be sufficient cross out A.
(2) By itself, this doesn't clue us in as to the makeup of the set
(1) & (2) Doesn't tell us anything in addition to (1) alone

Originally posted by airo on 04 Jul 2017, 10:46.
Last edited by airo on 04 Jul 2017, 10:47, edited 1 time in total.
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Re: P is a set of integers. If a is the average of the odd integers and b  [#permalink]

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New post 04 Jul 2017, 10:46
1
utkarshthapak wrote:
pushpitkc wrote:
Given data : (In set P)
a is the average of the odd integers
b is the average of the even integers

(1) P consists of consecutive integers starting from 1
Though we are given that the set contains consecutive integers, starting from 1.
We aren't told if the last of the integers is even or odd.
The value |a-b| will change based on the last integer.(Insufficient)

(2) There are not more than 50 integers in the set P
Knowing how many integers are there in the set,
we cannot determine the value of |a-b| (Insufficient)

On combining the information present in both the statements,
we cannot determine what the last number will be, which is mandatory
in order to find the value of expression |a-b| (Insufficient)(Option E)


Hi, I have a doubt. I agree that Statement 1 & 2 are not sufficient alone.

But if we combine, statement 1 says integers start from 1 and are consecutive. So set will be like 1,2,3,4,..... Statement 2 says integers are not more than 50, this means set should be 1,2,3,4,.....50. Here we know that set starts from 1 and ends at 50 and numbers are consecutive. Correct me if I am wrong with this reasoning.

Thanks



Hi...

NOT MORE than 50 means At the max 50.
So it can just 1 or 20 or 50..
Each time answer will be different.
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Re: P is a set of integers. If a is the average of the odd integers and b   [#permalink] 04 Jul 2017, 10:46
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