Gujarati
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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