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

It is currently 19 Jan 2019, 09:11

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

A certain company places a six-symbol code on each of their products.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52294
A certain company places a six-symbol code on each of their products.  [#permalink]

Show Tags

New post 03 Jan 2019, 03:54
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (00:58) correct 9% (02:23) wrong based on 32 sessions

HideShow timer Statistics

A certain company places a six-symbol code on each of their products. The first two symbols are one of the letters A–E and the last four symbols are digits. If repeats are allowed on both letters and numbers, how many such codes are possible?

(A) 250000
(B) 350000
(C) 450000
(D) 550000
(E) 600000

_________________

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

Manager
Manager
avatar
S
Joined: 26 Dec 2018
Posts: 129
Location: India
Re: A certain company places a six-symbol code on each of their products.  [#permalink]

Show Tags

New post Updated on: 03 Jan 2019, 05:29
1
Given :
A six-symbol code of which the first two symbols are one of the letters A–E
and the last four symbols are digits.
repeats are allowed both letters and numbers,


Question: how many such odes are possible?


AANNNN
Let us denote the code by AANNNN, where A for Alphabets from A to E, and N for numbers from 0 to 9.
Alphabets are 5 (A, B, C, D, E) & Numbers are 10 (0 to 9)

Since repeats are allowed alphabets can take 5 positions each for the first two letters, and numbers can take 10 positions each for the 4 positions each for the next four remaining letters of the code.

Therefore,
A A N N N N
5 x 5 x 10 x 10 x 10 x 10 = 250,000
Answer Option A is correct.
_________________

GOOD LUCK!


Originally posted by UB001 on 03 Jan 2019, 05:22.
Last edited by UB001 on 03 Jan 2019, 05:29, edited 1 time in total.
Manager
Manager
avatar
S
Joined: 26 Dec 2018
Posts: 129
Location: India
Re: A certain company places a six-symbol code on each of their products.  [#permalink]

Show Tags

New post 03 Jan 2019, 05:24
1
Bunuel wrote:
A certain company places a six-symbol code on each of their products. The first two symbols are one of the letters A–E and the last four symbols are digits. If repeats are allowed on both letters and numbers, how many such odes are possible?

(A) 250000
(B) 350000
(C) 450000
(D) 550000
(E) 600000


Hi Bunuel,
There's a typo in the last sentence. Please correct odes to codes.
_________________

GOOD LUCK!

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52294
Re: A certain company places a six-symbol code on each of their products.  [#permalink]

Show Tags

New post 03 Jan 2019, 07:10
UB001 wrote:
Bunuel wrote:
A certain company places a six-symbol code on each of their products. The first two symbols are one of the letters A–E and the last four symbols are digits. If repeats are allowed on both letters and numbers, how many such odes are possible?

(A) 250000
(B) 350000
(C) 450000
(D) 550000
(E) 600000


Hi Bunuel,
There's a typo in the last sentence. Please correct odes to codes.

_______________
Edited. Thank you.
_________________

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

VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1248
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: A certain company places a six-symbol code on each of their products.  [#permalink]

Show Tags

New post 06 Jan 2019, 04:32
Bunuel wrote:
A certain company places a six-symbol code on each of their products. The first two symbols are one of the letters A–E and the last four symbols are digits. If repeats are allowed on both letters and numbers, how many such codes are possible?

(A) 250000
(B) 350000
(C) 450000
(D) 550000
(E) 600000



first two = 5*5
last 4 = 10*10*10*10

total 25*10^4 IMO A
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

GMAT Club Bot
Re: A certain company places a six-symbol code on each of their products. &nbs [#permalink] 06 Jan 2019, 04:32
Display posts from previous: Sort by

A certain company places a six-symbol code on each of their products.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.