Question

In a group of \[50\] peoples, \[35\] speak Hindi, \[25\] speak both English and Hindi and all peoples will speak at least one of the two languages. How many people speak only English and not Hindi?

Answer 1

Hint:We are asked to find the number of people who speak English only and not Hindi. The information of total number of people and number of people who speak Hindi are given, use this information to find the number of people who speak English. Also keep in mind the fact that all people speak at least one of the two languages.
Complete step by step solution:
Given, total number of people is \[N = 50\]

Number of people, who speak Hindi, \[H = 35\]

Number of people, who speak both English and Hindi, \[EH = 25\]
We have to find the total number of people who speak only English and not Hindi.

There are \[N\] peoples and from there \[H\] speak Hindi and it is given that all peoples speak at least one of the two languages so the remaining people have to speak English.

Therefore, the number of remaining peoples is
\[R = N - H\]

Putting the values of \[N\] and \[H\] we get
\[R = 50 - 35\]
\[ \Rightarrow R = 15\]

These remaining \[15\] speak English

It is also given that \[25\] people speak both English and Hindi, but we are asked to find the number of people who speak only English not Hindi, so we will not consider this number.

Therefore, the number of people who speak only English and not Hindi is \[15\].

Note:In such types of questions, carefully read what you are asked to find out and see the additional information given in the questions. Students might make a mistake that the number of people who speak English is \[25\] as the information of people who speak both the languages are given and might skip the part that people who don’t speak Hindi are asked. So, while answering carefully check you are asked to find out.