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How many 3-digit numbers do not have an even digit or a

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Intern
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Joined: 30 Oct 2017
Posts: 30
Followers: 0

Kudos [?]: 7 [0], given: 6

How many 3-digit numbers do not have an even digit or a [#permalink] New post 30 May 2018, 01:39
00:00

Question Stats:

100% (01:32) correct 0% (00:00) wrong based on 5 sessions
How many 3-digit numbers do not have an even digit or a zero?

(A) 20

(B) 30

(C) 60

(D) 80

(E) 125
[Reveal] Spoiler: OA
GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

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Re: How many 3-digit numbers do not have an even digit or a [#permalink] New post 31 May 2018, 07:02
Expert's post
You can rewrite the number as acb. Where a is hundredth digit and c is the once digit.

Now we know that abc is not an even number or zero. They can be 1,3,5,7,9 i.e. 5 options.

a has 5 choices, b has 5 choices and c has 5 choices.

Number of possible solutions of abc is \(5 \times 5\times 5 =125\).
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Re: How many 3-digit numbers do not have an even digit or a   [#permalink] 31 May 2018, 07:02
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