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# The roll numbers of students in a college are alpha-numeric sequences

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Manager
Status: The journey is always more beautiful than the destination
Affiliations: Computer Science
Joined: 24 Apr 2017
Posts: 53
Location: India
Concentration: Statistics, Strategy
GMAT 1: 570 Q40 V28
GPA: 3.14
The roll numbers of students in a college are alpha-numeric sequences  [#permalink]

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08 Apr 2018, 22:55
2
00:00

Difficulty:

45% (medium)

Question Stats:

60% (02:14) correct 40% (03:31) wrong based on 25 sessions

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The roll numbers of students in a college are alpha-numeric sequences of 6 characters. The first and fourth characters are letters while the other four are non-zero digits. While the first character is a vowel, the fourth is a letter from a to e (both inclusive). The second character is 2 and the third is a multiple of 2. The sixth character is 5 more than the fifth. How many roll numbers can be formed?
Source- time4education

a.200
b.240
c.300
d.360
e.400

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Manager
Joined: 05 Feb 2016
Posts: 144
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: The roll numbers of students in a college are alpha-numeric sequences  [#permalink]

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08 Apr 2018, 23:25
Nixondutta wrote:
The roll numbers of students in a college are alpha-numeric sequences of 6 characters. The first and fourth characters are letters while the other four are non-zero digits. While the first character is a vowel, the fourth is a letter from a to e (both inclusive). The second character is 2 and the third is a multiple of 2. The sixth character is 5 more than the fifth. How many roll numbers can be formed?
Source- time4education

a.200
b.240
c.300
d.360
e.400

let 6 digit be abcde

For a=5 ways a,e,i,o,u
For b=1 way '2'
For c=4 ways 2,4,6,8
For d=5 ways a,e,b,c,d
For e=4 ways 1,2,3,4
If e=1, f=6
For f= 1 way

Total ways=5*1*4*5*4*1=400

E
Re: The roll numbers of students in a college are alpha-numeric sequences &nbs [#permalink] 08 Apr 2018, 23:25
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