You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Difference of Two Sets

In a group of...

Question

In a group of $50$ people, $35$ speak Hindi and $25$ speak both English and Hindi. Then how many people speak only English ? (Assuming each person speaks at least one language)

16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $15$
$n (H) = 35 =$ People who speaks Hindi
$n (E) =$ People who speaks English
$n (H \cup E) = 50$ , $n (H \cap E) = 25$
$n (E - H) = n (H \cup E) - n (H) = 15$

Suggest Corrections

Similar questions

In a group of people 50 speak Hindi, 20 speak Bengali and 10 speak both the languages. How many speak at least one language assuming that each person speaks at least one of the languages?

Q. In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English ?

Q. In a group of

1000

people, each can speak either Hindi or English. There are

750

people who can speak Hindi and

400

who can speak English. Then number of persons who can speak Hindi only is :

In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find :

(i) how manycan speak both Hindi and English

(ii) how many can speak Hindi only

(iii) how many can speak English only.

Q. Out of 100 persons in a group, 72 persons speak English and 43 persons speak French. Each one out of 100 persons speak at least one language. Then how many speak only English ? How many speak only French ? How many of them speak English and French both ?

Join BYJU'S Learning Program

Explore more

Difference of Two Sets

Standard XII Mathematics

Join BYJU'S Learning Program

In a group of 50 people, 35 speak Hindi and 25 speak both English and Hindi. Then how many people speak only English ? (Assuming each person speaks at least one language)

The correct option is B 15n(H)=35= People who speaks Hindi n(E)= People who speaks English n(H∪E)=50 , n(H∩E)=25 n(E−H)=n(H∪E)−n(H)=15

In a group of $50$ people, $35$ speak Hindi and $25$ speak both English and Hindi. Then how many people speak only English ? (Assuming each person speaks at least one language)

The correct option is B $15$
$n (H) = 35 =$ People who speaks Hindi
$n (E) =$ People who speaks English
$n (H \cup E) = 50$ , $n (H \cap E) = 25$
$n (E - H) = n (H \cup E) - n (H) = 15$