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A set S contains N elements. Is S a set of distinct consecutive even

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GMAT 1: 590 Q37 V33
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A set S contains N elements. Is S a set of distinct consecutive even  [#permalink]

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New post 24 Nov 2019, 07:09
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

50% (01:25) correct 50% (01:16) wrong based on 16 sessions

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A set S contains N elements. Is S a set of distinct consecutive even integers?

(1) The range of S is 2(N-1).

(2) When arranged in increasing order, the difference between any two consecutive
terms is 2.
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Posts: 106
Location: India
Concentration: Leadership, Finance
Schools: LBS '22
GMAT 1: 710 Q51 V35
GPA: 4
WE: Information Technology (Computer Software)
Re: A set S contains N elements. Is S a set of distinct consecutive even  [#permalink]

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New post 24 Nov 2019, 09:02
A set S contains N elements. Is S a set of distinct consecutive even integers?

(1) The range of S is 2(N-1).

(2) When arranged in increasing order, the difference between any two consecutive
terms is 2.


Solution :

1: The range of S is 2(N-1).

on putting values N = 2,3,4,5,6---

We can say that difference is consecutive numbers is 2.
but from this information we can't say that set S is set of consecutive even numbers or not, because it can be set of consecutive odd numbers.

hence information is insufficient.

2: hen arranged in increasing order, the difference between any two consecutive
terms is 2.

It is same information as info. 1 is telling.but from this information we can't say that set S is set of consecutive even numbers or not, because it can be set of consecutive odd numbers.

hence information is insufficient.


On combining Info1+info2

insufficient.

Hence we are not at any conclusion and both information are not sufficient to answer.

Hence answer is E.
GMAT Club Bot
Re: A set S contains N elements. Is S a set of distinct consecutive even   [#permalink] 24 Nov 2019, 09:02
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A set S contains N elements. Is S a set of distinct consecutive even

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