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25 Apr 2019, 22:55
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
62% (01:44) correct
38%
(01:41)
wrong
based on 178
sessions
History
Date
Time
Result
Not Attempted Yet
If P is sequence of n positive integers,where Se denotes the sum of all even integers and So denotes the sum of all odd integers. What is the the value of |Se -So|?
(A) P is a sequence of n consecutive positive integers
(B) Number of terms in the sequence P is 8
(A) P is a sequence of n consecutive positive integers
(B) Number of terms in the sequence P is 8
Rakesh1987
Current Student
Joined: 17 Jul 2018
Last visit: 20 Apr 2026
Posts: 66
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Given Kudos: 100
Location: India
Concentration: Finance, Leadership
Schools: Stern '23 (M$)
GMAT 1: 760 Q50 V44
GPA: 4
Updated on: 28 Jan 2026, 03:39
Originally posted by Rakesh1987 on 03 May 2019, 01:50.
Last edited by Bunuel on 28 Jan 2026, 03:39, edited 1 time in total.
Last edited by Bunuel on 28 Jan 2026, 03:39, edited 1 time in total.
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Probus
1) P is a sequence of n positive integers and from 1) we know that they are consecutive but we don't know if number of terms i.e. n is even or odd and the value of n, therefore we cant solve the question.
We need whether n is Even or odd because of the following reason:
let the first Odd number is O and first even number is E, we can model the sum as
|E-O|+|(E+1)-(O+1)|+|(E+2)-(O+2)|... where we can see that each number is equal to 1 as the difference between first consecutive Even and odd number is 1.
Therefore, if n is even, |Se-So|=n/2. But if n is odd then the sum is |(n-1)/2+-last number| and as we don't know the last number we cant solve it.
As we need numerical value of |Se-So|, we need the value of n as well.
Insufficient.
2) N is 8, but it is not given how many O and E are there. Therefore, Insufficient.
Combining 1) and 2) we get the answer as n/2 i.e. 4. Sufficient.
Please note that this is a DS question, and we need not calculate everything to solve the question; We just need to get the reasoning straight. I solved this question in 1 min 43sec (without pen/paper), using the logic explained above.
Archit3110
Major Poster
03 May 2019, 02:45
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Probus
P = n +ve integers
n = odd or even
se= sum of even integers
s0= sum of odd integers
so
#1
total value of n not given insufficient
#2
n= 8 , but are they consective or not given
insufficient
from 1 & 2
P ; 1 to 8
se ; 2+4+6+8
so=1+3+5+7
|Se -So|
20-16; 4
IMO C sufficient
