Answer

Verified

402k+ views

**Hint:**In this question, we have to find the number of people who can speak in at least any of the languages. Here from the given we assign numbers to the required values and then apply the general Venn diagram formula to find the required result.

Here, \[H \cap E\] means the portion common in H and E.

**Complete step-by-step answer:**

It is given that, in a flight \[50\] people speak Hindi, \[20\] speak English and \[10\] speak both English and Hindi.

We need to find out the number of people who can speak at least one of the two languages.

We will solve this by Venn diagram.

Here in the above diagram H represents the number of people who can speak in Hindi and E represents the number of people who can speak in English.

Now let us consider,

\[n\left( H \right)\]=The number of people in the flight can speak in Hindi=\[50\].

\[n\left( E \right)\]= The number of people in the flight can speak in English=\[20\]

\[n(H \cap E)\]= The number of people in the flight can speak in both English and Hindi = \[10\]

We know from the basic formulas for Venn diagrams of two elements

\[n(H \cup E) = n\left( H \right) + n\left( E \right) - {\rm{ }}n(H \cap E)\]

Here \[n(H \cup E)\] is the number of people who speak at least one language.

That is the number of people who can speak at least one of the two languages \[ = 50 + 20 - 10 = 60\]

Hence there are 60 people who can speak at least one of the two languages.

**Hence, (D) is the correct option.**

**Note:**This question can be explained in a simple way that we should find the number of people who could speak at least one of the languages for that we should add the number of people who speak the languages individually and then subtract the number of people who speak both the languages. In simple if ‘x’, ‘y’ is the number of people speak the languages separately and ‘z’ be the number of people who speak both the languages then the number of people who speak at least one language ‘o’ is given by the formula \[o = x + y - z\].

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail