Question

In a certain school 4% students like circket, 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%

Answer 1

Answer: (B)

32%

Let x student like all three games.
$\therefore$ If x minimum then a + b + c will be maximum
and p + q + r should be minimum,
$\therefore p+q+r=0$
$a+b+x=74$ ......... (i)
$a+c+x=76$ ......... (ii)
$b+c+x=82$ ......... (iii)
and $a+b+c+x=100$
$a+b+c=100-x$
Add (i), (ii) & (iii)
$2(a+b+c)+3x=232$
$2(100-x)+3x=232$
$200-2x+3x=232$
$x=32$