GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Dec 2019, 10:53

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59725
How many 3-digit numbers do not have an even digit or a zero?  [#permalink]

### Show Tags

Updated on: 15 Jul 2019, 03:21
00:00

Difficulty:

15% (low)

Question Stats:

82% (01:17) correct 18% (01:08) wrong based on 56 sessions

### HideShow timer Statistics

How many 3-digit numbers do not have an even digit?

(A) 20
(B) 30
(C) 60
(D) 80
(E) 125

Source: Nova GMAT
Difficulty Level: 550

_________________

Originally posted by Bunuel on 04 Apr 2019, 00:25.
Last edited by SajjadAhmad on 15 Jul 2019, 03:21, edited 1 time in total.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3158
Re: How many 3-digit numbers do not have an even digit or a zero?  [#permalink]

### Show Tags

04 Apr 2019, 01:14
1
1

Solution

To find:
• The number of 3-digit numbers do not have an even digit

Approach and Working:
• Let the three-digit number is abc and a, b, and c must be odd.
o Hence, we need to find the number of values that a, b, and c can take.

Total values of a, b, and c:

• a can be 1, or 3, or 5, or 7, or 9.
o Values a can take = 5

• Similarly, b and c can take 5 values.

Thus, total ways to form abc = 5 * 5 * 5 = 125

Hence, the correct answer is option E.

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5483
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: How many 3-digit numbers do not have an even digit or a zero?  [#permalink]

### Show Tags

04 Apr 2019, 03:23
Bunuel wrote:
How many 3-digit numbers do not have an even digit?

(A) 20
(B) 30
(C) 60
(D) 80
(E) 125

solve using combination technique
total integers not even ; 1,3,5,7,9 ; 5
so 3 terms being all odd ;
5*5*5 = 125
IMO E
Intern
Joined: 30 Mar 2018
Posts: 27
Location: India
Concentration: Marketing, Nonprofit
GMAT 1: 650 Q44 V35
WE: Research (Non-Profit and Government)
Re: How many 3-digit numbers do not have an even digit or a zero?  [#permalink]

### Show Tags

05 Apr 2019, 00:55
Archit3110 wrote:
Bunuel wrote:
How many 3-digit numbers do not have an even digit?

(A) 20
(B) 30
(C) 60
(D) 80
(E) 125

solve using combination technique
total integers not even ; 1,3,5,7,9 ; 5
so 3 terms being all odd ;
5*5*5 = 125
IMO E

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5483
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: How many 3-digit numbers do not have an even digit or a zero?  [#permalink]

### Show Tags

05 Apr 2019, 02:01
swatato wrote:
Archit3110 wrote:
Bunuel wrote:
How many 3-digit numbers do not have an even digit?

(A) 20
(B) 30
(C) 60
(D) 80
(E) 125

solve using combination technique
total integers not even ; 1,3,5,7,9 ; 5
so 3 terms being all odd ;
5*5*5 = 125
IMO E

swatato
list down all odd integers from 0-9 ; 1,3,5,7,9 i.e 5 in total
question has asked How many 3-digit numbers do not have an even digit ; it means that all integers have to be odd and can be repeated
so combination ; 5*5*5 ; 125
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8701
Location: United States (CA)
Re: How many 3-digit numbers do not have an even digit or a zero?  [#permalink]

### Show Tags

07 Apr 2019, 19:10
Bunuel wrote:
How many 3-digit numbers do not have an even digit?

(A) 20
(B) 30
(C) 60
(D) 80
(E) 125

There are five possible choices for each of the digits (1, 3, 5, 7 and 9). The number of 3-digit numbers with all odd digits is 5 x 5 x 5 = 125.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: How many 3-digit numbers do not have an even digit or a zero?   [#permalink] 07 Apr 2019, 19:10
Display posts from previous: Sort by