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05 Sep 2014, 01:18
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:47) correct
27%
(02:35)
wrong
based on 128
sessions
History
Date
Time
Result
Not Attempted Yet
alphonsa
Let's assume the total number of marbles be \(100x\). (We can't use just the number 100 here because statement (1) mentions the number of green marbles explicitly)
Let's draw a table as below and fill it with the information we have from the question stem. In the table, all the rows and columns sum up to the total row or column and the two totals will sum up to the big total in the bottom right corner.
P.S. - I don't exactly know how to draw a table here so bear with me. I have used * to indicate blank columns to preserve the table structure (Consecutive spaces get compressed into one
)* | R | G | Total
--|-----|-----|------
S | *** | *** | 60x
--|-----|-----|------
B | *** | *** | 40x
--|-----|-----|------
T |20x|80x|100x
1) The total number of green marbles is \(80\)
So, we know x = 1 and the table becomes
* | R | G | Total
--|-----|-----|------
S | *** | *** | 60
--|-----|-----|------
B | *** | *** | 40
--|-----|-----|------
T | 20 | 80 | 100
But we can't find the answer. ----> Insufficient
2) 10% of total marbles in the jar are small and red
So, small & red = \(10x\) and the table becomes
* | R | G | Total
--|-----|-----|------
S |10x|50x| 60x
--|-----|-----|------
B |10x|30x| 40x
--|-----|-----|------
T |20x|80x|100x
We know that small & green = \(50x\) but have no idea about the value of x. ----> Insufficient
1) and 2) We know \(SG = 50x\) and \(x = 1\) ----> Sufficient
So, the answer is C.
Hope that helps
05 Sep 2014, 11:04
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Hi,
Nicely explained by eshan429
Given : 20% red and 60% small
Let total be 100x
Red = 20x implies Green = 80x
Small =60x implies not small = 40x
from (1) we have 80x=80 -> x=1
Still,for knowing the distribution of red small ball or green small ball we must know the color distribution among small balls.So insufficient.
from (2) we get 10x = red and small implying 50x = green and small
but here we do not know the value of x.So insufficient.
Combining 1 and 2 we get the answer..C
This method just saves the time of drawing tables,but IMO it generally leads to confusion so it is better to approach these type of questions using tabular method.
Nicely explained by eshan429
Given : 20% red and 60% small
Let total be 100x
Red = 20x implies Green = 80x
Small =60x implies not small = 40x
from (1) we have 80x=80 -> x=1
Still,for knowing the distribution of red small ball or green small ball we must know the color distribution among small balls.So insufficient.
from (2) we get 10x = red and small implying 50x = green and small
but here we do not know the value of x.So insufficient.
Combining 1 and 2 we get the answer..C
This method just saves the time of drawing tables,but IMO it generally leads to confusion so it is better to approach these type of questions using tabular method.
alphonsa
Joined: 22 Jul 2014
Last visit: 25 Oct 2020
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Concentration: General Management, Finance
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
WE:Engineering (Energy)
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Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
Posts: 106
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06 Sep 2014, 00:46
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Thanks a ton.. Seems easy now 
