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14 Oct 2015, 21:45
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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:
25%
(medium)
Question Stats:
80% (01:52) correct
20%
(02:20)
wrong
based on 172
sessions
History
Date
Time
Result
Not Attempted Yet
In how many no. between 100 and 1000 exactly Two of the digits is 5?
(A) 648
(B) 512
(C) 252
(D) 225
(E) 26
Source: https://www.GMATinsight.com
(A) 648
(B) 512
(C) 252
(D) 225
(E) 26
Source: https://www.GMATinsight.com
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
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Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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15 Oct 2015, 05:13
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GMATinsight
Tricky. +1
Realise that the asked arrangements = 55X , 5X5 where X can be anything from 0 to 9 excluding 5 and Y55 where Y \(\neq\)5 or 0
Scenarios possible =
55X = 1*1*9 = 9
5X5 = 1*9*1 = 9
Y55 = 8*1*1 = 8
Total = 9+9+8=26
E is the correct answer.
General Discussion
BrainLab
Current Student
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Given Kudos: 200
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15 Oct 2015, 05:52
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We have here 2C3=3 combinations because there are always two 5's
55x:1*1*9+
5x5:1*1*9+
x55:8*1*1 because we must have a 3 digit number, means first digit must be >0, so we have 8 options for that digit (1,2,3,4,6,7,8,9)
26 Ways to do that.
Answer (E)
55x:1*1*9+
5x5:1*1*9+
x55:8*1*1 because we must have a 3 digit number, means first digit must be >0, so we have 8 options for that digit (1,2,3,4,6,7,8,9)
26 Ways to do that.
Answer (E)
