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How many positive five-digit numbers can be formed with 0,3 and 5

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Joined: 25 Apr 2015
Posts: 8

Kudos [?]: 13 [0], given: 7

How many positive five-digit numbers can be formed with 0,3 and 5 [#permalink]

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New post 28 Mar 2017, 03:16
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Question Stats:

81% (00:41) correct 19% (01:36) wrong based on 86 sessions

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How many positive five-digit numbers can be formed with the digits 0, 3, and 5?

(A) 14
(B) 15
(C) 108
(D) 162
(E) 243

Need help on this..!! thanks in advance
[Reveal] Spoiler: OA

Kudos [?]: 13 [0], given: 7

Expert Post
2 KUDOS received
Math Expert
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V
Joined: 02 Sep 2009
Posts: 42247

Kudos [?]: 132657 [2], given: 12331

Re: How many positive five-digit numbers can be formed with 0,3 and 5 [#permalink]

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New post 28 Mar 2017, 03:20
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franz711 wrote:
How many positive five-digit numbers can be formed with the digits 0, 3, and 5?

(A) 14
(B) 15
(C) 108
(D) 162
(E) 243

Need help on this..!! thanks in advance


XXXXX

2 choices for the first digit (3 or 5). It cannot be 0 becasue in this case we get 4-digit number.
3 choices for other digits.

2*3*3*3*3 = 162.

Answer: D.
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Kudos [?]: 132657 [2], given: 12331

Expert Post
Math Expert
User avatar
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Joined: 02 Sep 2009
Posts: 42247

Kudos [?]: 132657 [0], given: 12331

Re: How many positive five-digit numbers can be formed with 0,3 and 5 [#permalink]

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New post 28 Mar 2017, 05:03
franz711 wrote:
How many positive five-digit numbers can be formed with the digits 0, 3, and 5?

(A) 14
(B) 15
(C) 108
(D) 162
(E) 243

Need help on this..!! thanks in advance


Similar questions to practice:
https://gmatclub.com/forum/how-many-fiv ... 66641.html
https://gmatclub.com/forum/how-many-4-d ... 44225.html
https://gmatclub.com/forum/how-many-fiv ... 91597.html

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132657 [0], given: 12331

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Joined: 12 Nov 2016
Posts: 794

Kudos [?]: 36 [0], given: 165

Re: How many positive five-digit numbers can be formed with 0,3 and 5 [#permalink]

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New post 23 Sep 2017, 22:22
franz711 wrote:
How many positive five-digit numbers can be formed with the digits 0, 3, and 5?

(A) 14
(B) 15
(C) 108
(D) 162
(E) 243

Need help on this..!! thanks in advance


Ah made this mistake on the actual GMAT today- unless the question says "distinct numbers" just multiply it out

2 x 3 x 3 x 3 x 3

D

Kudos [?]: 36 [0], given: 165

Re: How many positive five-digit numbers can be formed with 0,3 and 5   [#permalink] 23 Sep 2017, 22:22
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