If 45% of study participants liked dogs, 60% liked cats, and 25% liked

Question

If 45% of study participants liked dogs, 60% liked cats, and 25% liked neither, what percent liked both cats and dogs?

A. 15%
B. 20%
C. 25%
D. 30%
E. 35%

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jack5397 · Answer

IMO -  D

Considering total participants = 100%

45% liked dogs;
60% liked cats,
25% liked neither,

100 = 45+60-liked both + liked neither(25)
liked both = 30%

mnz27 · Answer

i think you have made a cal error , is 60 not 65 answer is 30

PranavVyas · Answer

IMO - D

= 45% + 60% + 25% - 100% = 30%

Abhishek009 · Answer

P(D) = 45  ,  P(C) = 60  &  P(DC') = 25

P(D) + P(C) - P(DC) = 100 - P(DC')

45 + 60 - P(DC) = 100 - 25

Or,  105 - 75 = P(DC)

Or,  P(DC) = 30 , Answer must be (D)

jack5397 · Answer

Yes I made a calc. mistake. Thanks for correcting me.

If 45% of study participants liked dogs, 60% liked cats, and 25% liked

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If 45% of study participants liked dogs, 60% liked cats, and 25% liked

Prep Toolkit

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