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Updated on: 02 Mar 2025, 11:10
Originally posted by GMATinsight on 06 Aug 2020, 22:55.
Last edited by Bunuel on 02 Mar 2025, 11:10, edited 2 times in total.
Last edited by Bunuel on 02 Mar 2025, 11:10, edited 2 times in total.
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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:
66% (01:58) correct
34%
(01:54)
wrong
based on 204
sessions
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Find the average of x consecutive numbers in set S?
1) The 12th term in increasing order of terms in set S is 8 greater than 4th smallest terms and 3 less than the largest term of Set S
2) 8th smallest term in set S is 14
1) The 12th term in increasing order of terms in set S is 8 greater than 4th smallest terms and 3 less than the largest term of Set S
2) 8th smallest term in set S is 14
Source: https://www.GMATinsight.com
Archit3110
07 Aug 2020, 01:41
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target find avg of x consective terms ; (first term+ + last term)/2
#1
The 12th largest term in set S is 8 greater than 4th smallest terms and 3 less than the largest term of Set S
a+11=8+a+3
and a+11 = (a+n-1-3)
or say
11+a=a+n-4
n=15
but insufficient as we cannot find value of 'a'
#2
8th smallest term in set S is 14
a+7=14
a= 7
first term is 7
but we need to know value of last terms to calculate avg insufficient
from 1 &2
12th term
(7+11) ; 18
4th term is ; (7+3) ; 10
and we are given that
18= (7+n-1-3)
18=3+n
n=15
a15 = 7+14 ; 21
avg of 15 consecutive terms ; (7+21)/2 ; 14
OPTION C sufficient
#1
The 12th largest term in set S is 8 greater than 4th smallest terms and 3 less than the largest term of Set S
a+11=8+a+3
and a+11 = (a+n-1-3)
or say
11+a=a+n-4
n=15
but insufficient as we cannot find value of 'a'
#2
8th smallest term in set S is 14
a+7=14
a= 7
first term is 7
but we need to know value of last terms to calculate avg insufficient
from 1 &2
12th term
(7+11) ; 18
4th term is ; (7+3) ; 10
and we are given that
18= (7+n-1-3)
18=3+n
n=15
a15 = 7+14 ; 21
avg of 15 consecutive terms ; (7+21)/2 ; 14
OPTION C sufficient
GMATinsight
07 Aug 2020, 06:35
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GMATinsight
Answer: Option C
Please check the video for the step-by-step solution.
GMATinsight's Solution
https://gmatinsight.com/all-courses/
