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Maths-

General

Easy

Question

In a class of 45 students, 22 can speak Hindi and 12 can speak English only. The number of students, who can speak both Hindi and English, is

9
11
23
17

The correct answer is: 11

We have,
$n open parentheses H close parentheses minus n open parentheses H intersection E close parentheses equals 22 comma n open parentheses E close parentheses minus n open parentheses H intersection E close parentheses equals 12 comma n open parentheses H union E close parentheses equals 45$
$therefore n open parentheses H union E close parentheses equals n open parentheses H close parentheses plus n open parentheses E close parentheses minus n open parentheses H intersection E close parentheses$
$rightwards double arrow 45 equals 22 plus 12 plus n left parenthesis H union E right parenthesis$
$rightwards double arrow n open parentheses H intersection E close parentheses equals 11$

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