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08 May 2018, 23:33
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:09) correct
30%
(01:26)
wrong
based on 66
sessions
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N consecutive integers have a median of 24. What is the largest of these N integers?
(1) Smallest of these N integers is greater than 21.
(1) N is odd.
(1) Smallest of these N integers is greater than 21.
(1) N is odd.
08 May 2018, 23:53
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Choice E: Data insufficient
Question stem: N consecutive integers. So, they are all distinct numbers. Median is 24.
Statement 1: Smallest of these N integers is greater than 21.
There will be as many integers less than 24 as there are more than 24. And smallest number should be at least 22.
Possibility 1: The set is {22, 23, 24 25, 26}. The largest of these N integers is 26.
Possibility 2: The set is {23, 24, 25}. The largest of these N integers is 25.
Possibility 3: The set contains just 1 element. {24}. The largest of these N integers is 24.
More than one possibility. Statement 1 alone is NOT sufficient.
Statement 2: N is odd.
N could be 1. In which case, the largest integer is 24.
N could be 3. In which case, the largest integer is 25.
We cannot determine a unique value for the largest of these N integers from statement 2.
So, statement 2 alone is NOT sufficient.
Combining the 2 statements: We narrowed down the set to 3 possibilities using statement 1.
In all the 3 possibilities N was odd. So, all 3 sets are likely contenders.
So, we cannot find a unique value for the largest number.
Statements together NOT sufficient. Choice E.
Question stem: N consecutive integers. So, they are all distinct numbers. Median is 24.
Statement 1: Smallest of these N integers is greater than 21.
There will be as many integers less than 24 as there are more than 24. And smallest number should be at least 22.
Possibility 1: The set is {22, 23, 24 25, 26}. The largest of these N integers is 26.
Possibility 2: The set is {23, 24, 25}. The largest of these N integers is 25.
Possibility 3: The set contains just 1 element. {24}. The largest of these N integers is 24.
More than one possibility. Statement 1 alone is NOT sufficient.
Statement 2: N is odd.
N could be 1. In which case, the largest integer is 24.
N could be 3. In which case, the largest integer is 25.
We cannot determine a unique value for the largest of these N integers from statement 2.
So, statement 2 alone is NOT sufficient.
Combining the 2 statements: We narrowed down the set to 3 possibilities using statement 1.
In all the 3 possibilities N was odd. So, all 3 sets are likely contenders.
So, we cannot find a unique value for the largest number.
Statements together NOT sufficient. Choice E.
09 May 2018, 00:34
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amanvermagmat
N consecutive integers have a median of 24
This information helps us with two facts
1) N is odd i.e. the set has odd number of consecutive Integer
2) Mean of the set = Media of set = 24 (Consecutive number always have Mean = Media = (First term+Last Term)/2
Question : Largest of N integers = ?
Statement 1: Smallest of these N integers is greater than 21.
The consecutive Numbers are symmetrically distributed
i.e. 22 23 24 25 26
or. 23 24 25
Hence Largest may be 25 or 26
NOT SUFFICIENT
Statement 2: N is odd
It's redundant information as we have already figured that N is odd hence
NOT SUFFICIENT
Combining them doesn't give us anything new hence
NOT SUFFICIENT
Answer: option E
