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

It is currently 13 Nov 2019, 02:10

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

Mary has $4.6 in nickels and dimes only. If she has fewer dimes than

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

Hide Tags

Find Similar Topics 
BSchool Forum Moderator
avatar
V
Joined: 29 Jan 2015
Posts: 1440
Location: India
WE: General Management (Non-Profit and Government)
GMAT ToolKit User Premium Member Reviews Badge
Mary has $4.6 in nickels and dimes only. If she has fewer dimes than  [#permalink]

Show Tags

New post 09 Dec 2018, 06:11
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

59% (02:00) correct 41% (01:46) wrong based on 61 sessions

HideShow timer Statistics

Mary has $4.6 in nickels and dimes only. If she has fewer dimes than nickels, what is the least possible number of nickels she could have?

(A) 24

(B) 27

(C) 30

(D) 32

(E) 36

_________________
If you liked my post, kindly give me a Kudos. Thanks.
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1018
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Reviews Badge
Mary has $4.6 in nickels and dimes only. If she has fewer dimes than  [#permalink]

Show Tags

New post 09 Dec 2018, 08:36
rohan2345, is the question complete?. The price of nickle and dime is not given.

Posted from my mobile device
_________________
Press +1 Kudos If my post helps!
Director
Director
User avatar
V
Joined: 27 May 2012
Posts: 932
Re: Mary has $4.6 in nickels and dimes only. If she has fewer dimes than  [#permalink]

Show Tags

New post 14 Dec 2018, 01:02
Afc0892 wrote:
rohan2345, is the question complete?. The price of nickle and dime is not given.

Posted from my mobile device



Hi Afc0892,

A Nickel is 5 cents and a Dime is 10 Cents , so 10x+5y=460 cents , where x is number of dimes and y is number of Nickels. Now please try to solve.

Hope this helps!
_________________
- Stne
Manager
Manager
User avatar
P
Joined: 10 Mar 2016
Posts: 158
Location: India
Concentration: Finance, Real Estate
GMAT 1: 550 Q44 V23
WE: Corporate Finance (Commercial Banking)
Premium Member Reviews Badge
Re: Mary has $4.6 in nickels and dimes only. If she has fewer dimes than  [#permalink]

Show Tags

New post 15 Dec 2018, 09:37
rohan2345 wrote:
Mary has $4.6 in nickels and dimes only. If she has fewer dimes than nickels, what is the least possible number of nickels she could have?

(A) 24

(B) 27

(C) 30

(D) 32

(E) 36



We need to find the min value of nickels.

So let no of nickels = x
no of dimes = y

So the equation will be 5x+10y=460

First 3 answer choice will make the dimes more than nickels . So A,B,C are eliminated

D) 32*5 = 160

Nickel = 32 Dime = 30


E) 36*5=180
So Nickel = 36 and Dimes = 28

But we need to calculate min value of Nickel

So D is the correct choice.
_________________
Please Hit Kudos if you like my post useful.
GMAT Tutor
User avatar
B
Joined: 07 Nov 2016
Posts: 56
GMAT 1: 760 Q51 V42
Re: Mary has $4.6 in nickels and dimes only. If she has fewer dimes than  [#permalink]

Show Tags

New post 17 Dec 2018, 05:23
1 Nickel = 5 cents, Let Mary have x nickels
1 Dime = 10 cents, let Mary have y dimes
Total amount = 460 cents

We get the equation 5x + 10y = 460

x + 2y = 92
Note that the coefficients are co-prime
First value that satisfies is x = 2, y= 45
After these the subsequent values of x are obtained by adding 2(coefficient of y in the equation) to the previous value
So, x = 2,4,6,8,.... which is an A.P
Similarly the subsequent values of y are obtained by subtracting 1(coefficient of x in the equation) to the previous value
So, y= 45,44,43,42,.... which is an A.P
Now it is given that x > y

Let it happen for the nth term of each A.P
2n > 45 - (n - 1 )

3n > 46

n > 15.33
i.e 16th term
number of nickels = 32 ; number of dimes = 30
_________________
Please contact me at ksrutisagar@gmail.com
GMAT Club Bot
Re: Mary has $4.6 in nickels and dimes only. If she has fewer dimes than   [#permalink] 17 Dec 2018, 05:23
Display posts from previous: Sort by

Mary has $4.6 in nickels and dimes only. If she has fewer dimes than

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





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