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

 It is currently 22 Jan 2019, 00:25

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

Events & Promotions

Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

There are some oranges and apples in a basket. After additional 4 and

Author Message
Current Student
Joined: 27 May 2014
Posts: 524
GMAT 1: 730 Q49 V41

Show Tags

07 Mar 2018, 04:08
00:00

Difficulty:

95% (hard)

Question Stats:

43% (01:42) correct 57% (75:01) wrong based on 23 sessions

HideShow timer Statistics

There are some oranges and apples in a basket. After additional 4 and 7 oranges and apples are added to the basket, the ratio of the number of oranges to apples was greater than ½. Find the initial number of oranges in the basket.

1. The total number of oranges and apples after the addition was 25.
2. The product of the initial number of apples and oranges is 33.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52360

Show Tags

07 Mar 2018, 04:30
There are some oranges and apples in a basket. After additional 4 and 7 oranges and apples are added to the basket, the ratio of the number of oranges to apples was greater than ½. Find the initial number of oranges in the basket.

Given: $$\frac{O + 4}{A+7}>\frac{1}{2}$$ --> 2O + 1 > A.

Question: $$\frac{O}{A} = ?$$

(1) The total number of oranges and apples after the addition was 25:

(O + 4) + (A + 7) = 25;
O + A = 14.
We could have many values of O and A (satisfying both O + A = 14 and 2O + 1 > A). For example, O = 13 and A = 1 OR O = 12 and A = 2.

Not sufficient.

(2) The product of the initial number of apples and oranges is 33:

O*A = 33. Since both O and A are integers, then there exist only two sets of O and A, which satisfy both O*A = 33 and 2O + 1 > A.
O = 33 and A = 1;
O = 11 and A = 3.

Not sufficient.

(1)+(2) From (2) only O = 11 and A = 3 satisfy O + A = 14 from (1). Sufficient.

_________________
Manager
Joined: 23 May 2017
Posts: 241
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)

Show Tags

07 Mar 2018, 05:21
Oranges = x & Apples = y
Oranges = x + 4 & Apples = y + 7

given ( x + 4 ) > 1/2 ( y + 7)
- 2x + 8 > y + 7
- 2x > y - 1 = all the numbers must satisfy this equation

Question : Find X?

[1] : x + 4 + y + 7 = 25 or x + y = 14

let's substitute y = 14 - x in equation 2x > y -1

2x > 14 - x - 1
3x> 13
x >= 5

x + y = 14
5 9
6 8
7 7 and so on : multiple values of x is possible hence [1] is alone not sufficient

[2] x * y = 33 [ since x & y has to be + ve integers as we can't have negative decimal oranges or apples ]

x = 1 ; y = 33 ==> 2 > 32 [ substituting numbers in the main equation 2x > y - 1] : no : this combination is not possible
x = 33 ; y = 1 ==> 66> 0 : Yes possible
x = 11 ; y = 3 ==> 22 > 2 : Yes possible
x = 3 ; y = 11 ==> 6> 10 : Not Possible

Again two different values of X are possible hence [2] alone is not sufficient

[1] + [2]

x + y = 14 & xy = 33
x = 11 ; y = 3 - this is our answer
x = 3 ; y = 11 - does not satisfy 2x > y - 1

Hence C

2x > y - 1

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

If you like the post, please award me Kudos!! It motivates me

Re: There are some oranges and apples in a basket. After additional 4 and &nbs [#permalink] 07 Mar 2018, 05:21
Display posts from previous: Sort by