Latest Elitmus Aptitude Question SOLUTION: Q. A garden has only red,green and white flowers. 60% of the flowers have red colours,30% have green colours and 50% have white colours. If no glowers has all the three colours , w

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Q. A garden has only red,green and white flowers. 60% of the flowers have red colours,30% have green colours and 50% have white colours. If no glowers has all the three colours , what percentage of the flowers have only 1 colours?

Asked In Elitmus Ankit Boae (10 years ago)

Solved RAKESH Read Solution (5)

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RAKESH  (10 years ago)

n(R U G U W)=100, n(R ∩ G ∩ W)=0
n(R)=60, n(G)=30, n(W)=50

n(R U G U W)=n(R)+n(G)+n(W)- n(R∩G)-n(G∩W)- n(W∩R)+n(R∩G∩W)
=> n(R∩G)+n(G∩W)+n(W∩R)=n(R)+n(G)+n(W)-n(R U G U W)+n(R∩G∩W)=60+30+50-100+0=40

only(R)=n(R)-n(R∩W)-n(R∩G)
only(G)=n(G)-n(R∩G)-n(W∩G)
only(W)=n(W)-n(R∩W)-n(W∩G)
------------------------------------------------------------------------
adding => only(R)+only(G)+only(W)=n(R)+n(G)+n(W)-2[n(R∩G)+n(G∩W)+n(W∩R)]
=> only(R)+only(G)+only(W)=60+30+50-2*40=60

SO 60% of the flowers have only 1 colour

Is this solution Helpfull? Yes (41) | No   

raja  (10 years ago)

Let the total no. of flowers is 100 and the no. of flowers having 2 colors is X (red+green OR green+yellow OR red+yellow)

There is no flower that has all 3 colors.

100 = 60+30+50 - X

X= 40.

So no. of flowers having only one color = 100-40
= 60

Is this solution Helpfull? Yes (11) | No (10)  

Praveen kumar  (10 years ago)

anyone give the correct answer

Is this solution Helpfull? Yes (4) | No   

Anuj Patel  (10 years ago)

a+b+c=180
a+7b=155

then c=25+6b
then by putting b=1 to b=10
the range of c will be---
85>c>30

Is this solution Helpfull? Yes (1) | No (5)  

DIVYA V M  (10 years ago)

It can be 50%.
exp- consider 60% red out of 100%.
rest is 40%, out of which consider 30% green.
rest is 10%, this can be white.
10% of which are done rest is 40%. consider 30% of white to be included in green
and rest 10% to be included in red. hence oly red can be of 50%.

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