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Updated on: 05 Aug 2015, 10:51
Originally posted by GMATinsight on 04 Aug 2015, 02:58.
Last edited by GMATinsight on 05 Aug 2015, 10:51, edited 3 times in total.
Last edited by GMATinsight on 05 Aug 2015, 10:51, edited 3 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
34% (02:40) correct
66%
(02:49)
wrong
based on 201
sessions
History
Date
Time
Result
Not Attempted Yet
Q-4: How many three digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 11?
A) 14
B) 16
C) 18
D) 20
E) 22
Source : https://www.GMATinsight.com
Good Questions also deserve Kudos :)
A) 14
B) 16
C) 18
D) 20
E) 22
Source : https://www.GMATinsight.com
Good Questions also deserve Kudos :)
05 Aug 2015, 10:49
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GMATinsight
CONCEPT: A number is divisible by 11 when Difference of Sums of even place digits and odd place digits is either zero or a multiple of 11.
i.e. a 3-Digit Number abc will be divisible by 11 if (a+c) - b = 0 or multiple of 11
@b=1, a+c should be 1 or 12 i.e. (a,c) can be (5, 7), (7, 5) --- 2 cases
@b=2, a+c should be 2 or 13 i.e. (a,c) can be (6, 7), (7, 6) ---- 2 cases
@b=3, a+c should be 3 or 14 i.e. (a,c) can be (1, 2), (2, 1) ---- 2 cases
@b=4, a+c should be 4 or 15 i.e. (a,c) can be (1, 3), (3, 1) ---- 2 cases
@b=5, a+c should be 5 or 16 i.e. (a,c) can be (1, 4), (2, 3), (3, 2), (4, 1) ---- 4 cases
@b=6, a+c should be 6 or 17 i.e. (a,c) can be (1, 5), (2, 4), (4, 2), (5, 1) ---- 4 cases
@b=7, a+c should be 7 or 18 i.e. (a,c) can be (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) ---- 6 cases
Total Cases = 2+2+2+2+4+4+6 = 22 cases
Answer: option E
General Discussion
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
Updated on: 05 Aug 2015, 11:33
Originally posted by ENGRTOMBA2018 on 04 Aug 2015, 04:35.
Last edited by ENGRTOMBA2018 on 05 Aug 2015, 11:33, edited 4 times in total.
Last edited by ENGRTOMBA2018 on 05 Aug 2015, 11:33, edited 4 times in total.
Updated the possible cases from 18 to 22.
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GMATinsight
Did by counting
132
143
154
165
176
231
253
264
275
341
352
374
451
462
473
517
561
572
627
671
715
726
GMATinsight, Total should be 22.
