Question

In a class of 85 students, 40% speak Hindi, 40% speak English only. If the number of students who did not speak any language is equal to the number of students who speak both languages then find out the number of students who speak Hindi only.
1. 11
2. 21
3. 17
4. 19

Answer 1

Correct Answer - Option 3 : 17

Given:

Number of students who speak Hindi = 40%

Number of students who speak English only = 40%

Calculation:

Number of students who speak Hindi = 40 × 85/100

⇒ 34

Number of students who speak English only = 40 × 85/100

⇒ 34

Let the total number of students who speak both languages be x

The number of students who did not speak any languages = x

Number of students who speak only Hindi = 34 - x

As per question,

34 + x + 34 - x + x = 85

⇒ x = 85 - 68

⇒ x = 17

The number of students who speak Hindi only = 34 - 17

⇒ 17

∴ The number of students who speak Hindi only is 17.