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• GMAT : Apoorva G 750
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• GMAT : Mannik 730
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• GMAT : Darshan 730
• GMAT : Pratap 740

## Solution to version 1 questions (Updated On Tuesday, October 15, 2013)

Version 1 Question 2
A,B,C work together and complete a work . If they work together ,they take
2 days less than the number of days A would have taken to do alone.
10 days less than the number of days B would have taken to do   alone
1/3rd  the number of days that C would have taken if he works alone.
How long did it take them to do all the work?
1.3 2.2 3.5 4.6            5.7

First method:
Let us assume that all of them complete the job in 'd' days
The number of days they take is A=>d+2 days,B=>d+10days   C=>3d days
Work done per day by each of them is A= 1/(d+2) ,B  = 1/(d+10) ,C =1/3d.
Work completed by all of them  working together in 1 day (1/d+2)+(1/d+10)+(1/3d)=1/d
d =3

Second Method:
Working with answer options
Let us take it the first option =>3 days Then. A will take 5 days
If A,B and C complete 100% of  the work in 3 days, A does the work in 5days .
i.e. A does 3/5 of the work =3/5�100=60%
Similarly B takes 13 days to complete the work
i.e  B does 3/13th of the work =>3/13�100=23.3%
C  takes 9 days i.e  C does 3/9th of the work= 3/9�100=33.3% .
60%+23.3%+33.3%  doesn't add to 100%.
so this is not correct answer.

Take option 2,
Total days is 2
then A takes 4 days=>2/4�100=50%
B takes 12 days=>2/12�100=16.66%
C takes 6 days=>1/3�100=33.33%.totally 100%, Answer is 2

Question 3
A mixture of 20 L of spirit and water contains 5% water ,how much water must be added to this to raise the percentage of water to 24%?
1. 5 Lt         2.4 Lt       3. 7 Lt       4. 8 Lt               5.10 Lt

Method 1
20 Lt mixture contains 5% water. Water content is 1 Lt. Spirit is 19 Lt.
Let y be the liters water be added to make it 24%.
Total quantity is 20 + y
Percentage of  water  =>   { (1+y)/(20+y) }  x 100= 24
solve for y y= 5L

Method 2
Create a table
Sprit      water
19L 1L            Let x lit be added to the mixture.
19L       1+x
Percentage of water must be 1+x=24%,
so 19L sprit has to be 76%.
if 19L=>76%
(1+x)=>24%
So (1+x) = 24 x (19/ 76 )= 6 x=5L

## Learning Videos

Page No : 1
GMAT reading comprehension , a sneak peak