Last visit was: 22 Apr 2026, 21:38 It is currently 22 Apr 2026, 21:38
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
unraveled
User avatar
Joined: 07 Mar 2019
Last visit: 10 Apr 2025
Posts: 2,706
Own Kudos:
2,329
 [1]
Given Kudos: 763
Location: India
WE:Sales (Energy)
Posts: 2,706
Kudos: 2,329
 [1]
A juice is made by mixing x liters of mango pulp with y liters of oran 10 Feb 2020, 07:18
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

75% (hard)

Question Stats:

18% (00:53) correct 82% (02:12) wrong based on 11 sessions

History

Date
Time
Result
Not Attempted Yet
A juice is made by mixing x liters of mango pulp with y liters of orange pulp and 14 liters of water where x and y are non-zero integers, mango pulp costs $6 per 10 liters and orange pulp costs $4 per 10 liters, is x >3?

(1) If water is available free of charge, the juice costs $1.6 per 10 liters
(2) If mango pulp had cost 20 cents more per liter, then the cost of the mango pulp used in the juice would have been more than $2 greater than the cost of the orange pulp used in the juice

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
ShowHide Answer
Official Answer
D
User avatar
GMATWhizTeam
User avatar
GMATWhiz Representative
Joined: 07 May 2019
Last visit: 17 Mar 2026
Posts: 3,374
Own Kudos:
2,193
 [1]
Given Kudos: 70
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Expert
Expert reply
GMAT 2: 760 Q51 V40
Posts: 3,374
Kudos: 2,193
 [1]
A juice is made by mixing x liters of mango pulp with y liters of oran 12 Feb 2020, 01:19
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
lnm87
A juice is made by mixing x liters of mango pulp with y liters of orange pulp and 14 liters of water where x and y are non-zero integers, mango pulp costs $6 per 10 liters and orange pulp costs $4 per 10 liters, is x >3?

(1) If water is available free of charge, the juice costs $1.6 per 10 liters
(2) If mango pulp had cost 20 cents more per liter, then the cost of the mango pulp used in the juice would have been more than $2 greater than the cost of the orange pulp used in the juice
Show more

Solution:


    • Mango pulp = \(x\) litres
      o Cost of mango pulp =\(\frac{ 6}{10} = $0.6\) per litre
    • Orange pulp = \(y\) litres
      o Cost of orange pulp =\( \frac{4}{10} = $ 0.4\) per litre
    • Water = \(14\) litres
    • \(x\) and \(y\) are non-zero integers
      o \(x\) and \(y\) cannot be negative because they are in litres.
We need to find whether \(x > 3\) or not.

Statement 1:


    • Cost of water = \($ 0\)
    • Cost of juice = \($ 1.6\) per \(10\) litre.
      o Cost of juice = \(\frac{1.6}{10} = $ 0.16\) per litre
    • Now, the cost of juice = \(\frac{(0.6x + 0.4y + 0)}{(x+y+14)} = 0.16\)
      o \(0.6x + 0.4y = 0.16x+0.16y+ 2.24\)
      o \(0.44x + 0.24y = 2.24\)
      o \(44x + 24y = 224\)
      o \(11x + 6y = 56\)
      o The only possibility is when \(x = 4\) and \(y = 2\).
    • Therefore, \(x > 3\)
Hence, statement 1 is sufficient, we can eliminate answer options B, C, and E.

Statement 2:


    • The cost of mango pulp is increased by \(20\) cent per litre.
      o The new cost of mango pulp = \(0.6 + \frac{20}{100} = $ 0.8\) per litre
    • Now, according to the situation given
      o \(0.8x > 0.4y + 2\)
      o \(0.4(2x-y) > 2\)
      o \((2x-y)>5\)
      o Minimum possible value of \(x\) is \(4\) and \(y\) is \(1\).
    • Therefore, \(x > 3.\)
Hence, statement 2 is also sufficient, the correct answer is Option D.

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109754 posts