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Khilona

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You could draw a Venn diagram with circles A B and C making up each show. The intersection of 2 circles as X and M as the centre.

Sum of all the 3 [two circle] intersections as 3X

 

Given A+B+C = 750

Since total viewership = 600

A+B+C+3X+M = 600

If you look at the circles,

A = 210-[2X+M]

B = 240-[2X+M]

C = 300-[2X+M]

Combining,

A+B+C+3X+M = 600 ==>

750-6X-3M+3X+M = 600

150 = 3X+2M

 

Given 3X=108

So 42 = 2M

M = 21

Hence Answer = D

 

Don't think this can be simplified anymore

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AUBUC=A+B+C-(2 EXACTLY) - 2*(AnBnC)

100=35+40+50-18 - 2*(AnBnC)

AnBnC=7/2 % = 3.5% = 600*3.5/100=21

answer = D

 

Okay read your comment again...

If one need to solve without formula then draw the V-diagram. Just keep it in % until the last moment else numbers could be confusing.

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AUBUC=A+B+C-(2 EXACTLY) - 2*(AnBnC)

100=35+40+50-18 - 2*(AnBnC)

AnBnC=7/2 % = 3.5% = 600*3.5/100=21

answer = D

 

Okay read your comment again...

If one need to solve without formula then draw the V-diagram. Just keep it in % until the last moment else numbers could be confusing.

 

where did you get 100... i mean the value above?

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  • 9 months later...

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