Number System

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alishagmat: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Thu Oct 01, 2020 4:48 am; Followed by:1 members

Number System

by alishagmat » Fri Oct 02, 2020 4:06 am

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If S is a set of n consecutive integers, what is the sum of the integers in S ?

(1) n = 11
(2) The sum of the least integer and the greatest integer in S is zero.

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Source: Beat The GMAT — Data Sufficiency | Fri Oct 02, 2020 4:06 am

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

Re: Number System

by deloitte247 » Sun Oct 04, 2020 9:12 am

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Target question: What is the sum of the integers in S?
Statement 1: n=11
The 11 consecutive integers could be 1 to 1 1 or 20 to 30. Since the terms are not definite, then the um cannot be evaluated. Hence, statement 1 is NOT SUFFICIENT.

Statement 2: The sum of the least integer and the greatest integer in S is zero.
This is only possible if the least is the negative integer of the greatest. e.g -2+2=0, or -3+3=0
And in any case, -2+(-1) + 0 + 1+2=0
-3+(-2 )+(-1)+0+1+2+3=0
In any case, the sum = 0. Hence, the sum of set s = 0. Therefore, statement 2 is sufficient. Hence, option B is the correct answer.