Question

There are $50$ students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is $21$, then how many students can speak Hindi, only Hindi and only English.

Answer 1

Compute the students can speak Hindi, only Hindi and only English

Given: There are $50$ students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi.

To find: Students can speak Hindi, only Hindi and only English.

Step 1 of 2: Apply the value to the variable

Total No of students $=50$

No of the students who can speak both English and Hindi $=10$

No of the students who can speak Hindi $=50-21=29+10=39$

No of the students who can speak only Hindi$=50-21=29$

No of the students who can speak only English$=21-10=11$

Step 2 of 2: Sketch the problem as a Venn diagram

Thus Hindi speakers will be $39$, only Hindi speakers will be $29$ and only English speakers will $11$.