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19 Feb 2021, 12:30
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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:
65% (01:56) correct
35%
(01:48)
wrong
based on 633
sessions
History
Date
Time
Result
Not Attempted Yet
130 can be expressed as the sum of which of the following?
I. 4 consecutive integers
II. 5 consecutive integers
III. 6 consecutive integers
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) II and III only
I. 4 consecutive integers
II. 5 consecutive integers
III. 6 consecutive integers
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) II and III only
19 Feb 2021, 19:57
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Statement I: 130/4 = 32.5--> So sum of the middle 2 numbers should be 65 which is the sum of 32 and 33. The 4 numbers are 31 + 32 + 33 + 34 = 130
Statement II: 130/5 = 26--> The middle number is 26 with the other 4 being 2 behind and 2 ahead of 26. The 5 numbers are 24 + 25 + 26 + 27 + 28 = 130
Statement III: 130/6 = 21.67--> So sum of the middle 2 numbers should be 43.33 which then cannot have integers.
Option C
Arun Kumar
Statement II: 130/5 = 26--> The middle number is 26 with the other 4 being 2 behind and 2 ahead of 26. The 5 numbers are 24 + 25 + 26 + 27 + 28 = 130
Statement III: 130/6 = 21.67--> So sum of the middle 2 numbers should be 43.33 which then cannot have integers.
Option C
Arun Kumar
wishmasterdj
Joined: 04 May 2016
Last visit: 25 Oct 2021
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Given Kudos: 10
Location: India
Schools: ISB '18 (A)
GMAT 1: 700 Q48 V37
GPA: 3.2
23 Feb 2021, 07:35
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or, just visualize the series
4 consecutive -> a, a+1, a+2, a+3, = 4a +6
Similarly, 5 consecutive = 5a+10 and 6 consecutive = 6a+15
Equate each of them to 130 and you find only cases 1 and 2 are possible, as the third one leaves a non integer value, violating the question's constraint.
4 consecutive -> a, a+1, a+2, a+3, = 4a +6
Similarly, 5 consecutive = 5a+10 and 6 consecutive = 6a+15
Equate each of them to 130 and you find only cases 1 and 2 are possible, as the third one leaves a non integer value, violating the question's constraint.
