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Senior Manager
Joined: 23 Jan 2021
Posts: 294
Given Kudos: 81
Concentration: , International Business
In a group of people, 40% of like red, 50% of them like blue, while 60
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Updated on: 07 Nov 2021, 03:45
Updated on: 07 Nov 2021, 03:45
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In a group of people, 40% of like red, 50% of them like blue, while 60% of them like green. 9% of them only like red, 10% only like blue and 11% only like green. 20% of them like all the three colors simultaneously. What percent of people like both red and green, but not blue?
A. 10
B. 25
C. 30
D. 39
E. Cannot be determined
A. 10
B. 25
C. 30
D. 39
E. Cannot be determined
Originally posted by COolguy101 on 03 Nov 2021, 07:43.
Last edited by COolguy101 on 07 Nov 2021, 03:45, edited 1 time in total.
Last edited by COolguy101 on 07 Nov 2021, 03:45, edited 1 time in total.
Re: In a group of people, 40% of like red, 50% of them like blue, while 60
[#permalink]
05 Mar 2024, 23:09
05 Mar 2024, 23:09
1
A Detailed solution here would be -
using the following concept - https://gre.myprepclub.com/forum/gre-quant-overlapping-set-theory-18835.html#p54150
Assuming you've grasped the above concept very well. Draw a basic venn diagram and do diagrammatic notation on it as well. I have added a rough venn diagram for reference.
We have been given.
a = 9 ---- (eq1)
b = 10 ---- (eq2)
c = 11 ---- (eq3)
d + g +e = 40 ---- (eq4)
f + g+ e = 49 ---- (eq5)
f + d + g = 31 ---- (eq6)
g = 20 ---- (eq7)
And, we need to find 'f' from these.
Now, add equation 4,5,6
you get 2*(f + e + d) + 3g = 120.
Which gives you f + e +d = 60 ---- (eq8)
Now, use eq (8,7,6) and get the value of f which comes out to be = 10
Thanks
If this answer helped.
Please drop a Kudos
-- Daksh Kumar
using the following concept - https://gre.myprepclub.com/forum/gre-quant-overlapping-set-theory-18835.html#p54150
Assuming you've grasped the above concept very well. Draw a basic venn diagram and do diagrammatic notation on it as well. I have added a rough venn diagram for reference.
We have been given.
a = 9 ---- (eq1)
b = 10 ---- (eq2)
c = 11 ---- (eq3)
d + g +e = 40 ---- (eq4)
f + g+ e = 49 ---- (eq5)
f + d + g = 31 ---- (eq6)
g = 20 ---- (eq7)
And, we need to find 'f' from these.
Now, add equation 4,5,6
you get 2*(f + e + d) + 3g = 120.
Which gives you f + e +d = 60 ---- (eq8)
Now, use eq (8,7,6) and get the value of f which comes out to be = 10
Thanks
If this answer helped.
Please drop a Kudos
-- Daksh Kumar
Attachments
File comment: Image for Reference
Venn diag 1.png [ 68.03 KiB | Viewed 2185 times ]
General Discussion
Re: In a group of people, 40% of like red, 50% of them like blue, while 60
[#permalink]
05 Nov 2021, 02:24
05 Nov 2021, 02:24
A?
Posted from my mobile device
Posted from my mobile device
