Latest elitmus Aptitude Question SOLUTION: A Survey of 200 people in a community who watched at least one of the three channels- BBC, CNN and DD- showed that 80% of the people watched DD, 22% watched BBC and 15% watched CNN

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(#M40164530) ELITMUS Numerical Ability question Keep an EYE

A Survey of 200 people in a community who watched at least one of the three channels- BBC, CNN and DD- showed that 80% of the people watched DD, 22% watched BBC and 15% watched CNN. If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only ?

Asked In elitmus banoth sandhya (6 years ago)

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p  (6 years ago)

total =200
by AUBUC formula
(80%200)=160 similarly 22%200=44 ,15%200=30 ,5%200=10,10%200=20
now , vienn's diagram formula
200 = 160+44+30 -(10+20+x) -y
where,x=bbc and cnn , y=all 3
soving
x-y =4
i.e 2%

Is this solution Helpfull? Yes (5) | No (2)  

Ashish Agrawal  (6 years ago)

it is a question of venn diagram

a = only DD
b = only BBC
c= only CNN
d = DD and BBC only
e = DD and CNN only
f = CNN and BBC only
g = all channels

given:
e+g = 5............(1)
d+g = 10..........(2)
a+b+c+d+e+f+g = 100........(3)
a+d+e+g = 80........(4)
b+d+g+f = 22........(5)
c+e+f+g = 15........(6)

solving (1) &(4)
we get a+d = 75.........(7)

solving (2) &(5)
we get b+f = 12.........(8)

solving (1) &(6)
we get c+f = 10.........(9)

adding (7) &(9)
we get a+d+c+f = 85.......(10)

putting all in equation (3)

we get f = 2;

hence 2% watch only BBC and CNN
2% of 200 = 4

hence answer is 4.

Is this solution Helpfull? Yes (2) | No (8)  

avinash kumar  (5 years ago)

A=80
B=22
C=15
u=union
AuBuC=A+B+C-AB-BC-CA
100=80+22+15-5-10-CA
100=102-CA
-2=-CA
CA=2
So answer is 2%

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

Govind kumar  (5 years ago)

approach= DD=200 * 80/100=160
BBC=44
CNN=30
I+II+III=200 (given)
I+2II+3III=160+44+30=234 now 2nd -1st equation
so II+2III=34
let III=x
DD and CNN=200*5/100=10
only DD and CNN=10-x ... here x is common in all three
Only DD and BBC=20-x
10-x+20-x+(only BBC and CNN)+2x=34
so 30+(only BBC+CNN)=34
so only BBC+CNN=4
which is 2% of 200
so 2%

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