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1.Set Theory
hard
In a certain school, $74 \%$ students like cricket, $76 \%$ students like football and $82 \%$ like tennis. Then, all the three sports are liked by at least $......\%$
A
$68$
B
$32$
C
$77$
D
$36$
(KVPY-2009)
Solution
(b)
Given, $74 \%$ students like cricket $76 \%$ students like football
$82 \%$ students like tennis
$\therefore 26 \%$ student not like cricket
$24 \%$ student not like football
$18 \%$ student not like tennis
Student all the three sports like at least
$=100 \%-$ (sport not likes)
$=100 \%-(26+24+18) \%$
$=100 \%-68 \%=32 \%$
Standard 11
Mathematics
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