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

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Manager
Status: Studying 4Gmat
Joined: 02 Jan 2016
Posts: 238
Location: India
Concentration: Strategy, Entrepreneurship
GMAT 1: 590 Q37 V33
GPA: 4
WE: Law (Manufacturing)
A set S contains N elements. Is S a set of distinct consecutive even  [#permalink]

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24 Nov 2019, 07:09
00:00

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.
Manager
Joined: 06 May 2019
Posts: 106
Location: India
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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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.

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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