NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 18:48 It is currently 23 Apr 2024, 18:48
Decision Tracker
My Rewards
New posts
New comers' posts

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

Each of the 23 mangoes in box X weighs less than each of the 22 mangoe

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618603 [3]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Each of the 23 mangoes in box X weighs less than each of the 22 mangoe [#permalink] New post   25 Oct 2018, 02:23
1
Kudos
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

76% (00:59) correct 24% (01:38) wrong based on 99 sessions
Hide Show timer Statistics
Each of the 23 mangoes in box X weighs less than each of the 22 mangoes on box Y. What is the median weight of the 45 mangoes in the boxes?

(1) The heaviest mango in box X weighs 100 grams
(2) The lightest mango in box Y weighs 120 grams
ShowHide Answer
Official Answer
A
User avatar
P
DavidTutorexamPAL
examPAL Representative
Joined: 07 Dec 2017
Posts: 1050
Own Kudos [?]: 1777 [0]
Given Kudos: 26
Send PM
Re: Each of the 23 mangoes in box X weighs less than each of the 22 mangoe [#permalink] New post   25 Oct 2018, 04:25
The answer is A.
We can solve this question Precisely - the data given is sufficient to easily find the answer.
If there are 45 mangoes, the median mango is the 23rd in weight. The question stem tells us the 23rd lightest one is the heaviest of box X.
1) tells us the weight of this median. Sufficient! 2) only tells us the weight of the next-largest one after the median: this only tells us the median is less than 120 - but how much is it?? Insufficient!
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16831 [0]
Given Kudos: 165
Send PM
Re: Each of the 23 mangoes in box X weighs less than each of the 22 mangoe [#permalink] New post   25 Oct 2018, 06:33
Expert Reply

Solution


Given:
    • The weight of each of the 23 mangoes in box X < the weight of each of the 22 mangoes in box Y

To find:
    • The median weight of the 45 mangoes

Approach and Working:
    • Let’s arrange the mangoes in increasing order of weights
    • So, the 23 mangoes in box X occupies the first 23 places, then the remaining 22 places are occupied by mangoes in box Y
    • Median = 23rd term = the 23rd mango(heaviest mango) of box X

Analysing Statement 1
    • Given the weight of heaviest mango in box X = 100 grams, which is the median weight

Therefore, Statement 1 alone is sufficient to answer this question

Analysing Statement 2
    • Given the weight of the lightest mango in box Y = 120 grams
    • Implies, the 24th term = 120, we can just say that the median is ≤ 120, but we cannot find the exact value.

Therefore, Statement 2 alone is not sufficient to answer this question

Hence, the correct answer is Option A.

Answer: A

User avatar
S
merajul
Manager
Manager
Joined: 05 Oct 2014
Posts: 133
Own Kudos [?]: 38 [0]
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
GMAT Date: 07-23-2015
GMAT 1: 580 Q41 V28
GPA: 3.8
WE:Project Management (Energy and Utilities)
Send PM
Re: Each of the 23 mangoes in box X weighs less than each of the 22 mangoe [#permalink] New post   11 Nov 2019, 22:37
The question asks for Median, which I got confused with Mean.
Mean : is average of the numbers in a set.
Median : Middle number among the numbers in a set.
Thus if there is 45 mangoes, 23 ought to be the middle one
Now question says the heaviest weight among the X, which has 23 mangoes is 100. We can safely assume , thus the 23rd mangoe weight shall be 100grams.
Thus option is A.
GMAT Club Bot
gmatclubot
Re: Each of the 23 mangoes in box X weighs less than each of the 22 mangoe [#permalink]
11 Nov 2019, 22:37
Moderator:
Bunuel
Math Expert
92883 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions