In a group of 500 people,300 can speak hindi only and 120 can speak english only,how many can speak both langu

Question

In a group of 500 people, 300 can speak hindi only and 120 can speak english only.How many can speak both hindi and english?
Option: (1) 80, (2) 60, (3) 90, (4) 420

Answer 1

Assuming that of all the 500 people every one knows atleast one language.
Let A = set of people who speak hindi;
Let B= set of people who speak english;

n(A) + n(B) = n(A u B) + n (A n B)

n(A u B)=500
Hence, n(A n B) =80.
The answer is option (1).

Answer 2

The answer is option (1) 80.

500 - 300 = 200 those that don't speak Hindi

200 - 120 (those that speak English only) = 80 those that can speak both Hindi & English

Answer 3

There are 300 + 120 = 420 people who can speak one language. There are 500 - 420 = 80 people left.

Assuming that there are no people who can't speak either of the languages, that means that these 80 people speak both languages. The correct option is (1).

Answer 4

500 - 300 = 200 who can speak English
200 - 120 = 80 who can speak both English and Hindi.

Answer 5

Since 300 & 120 people can speak only one language, therefore, the remaining speak both the languages.

500-(300+120)
=80

Answer 6

300 In Hindi

Answer 7

The answer is 80

500-(300-120)
=500-420
=80

Answer 8

This is a very poor question. It is impossible to answer as written since you don't know whether or not there are people who speak languages besides Hindi or English (or perhaps no languages at all) in the group.

Answer 9

its simple that people who can speak both are

english E
hindi H

n(EUH) = n(E) + n(H) -n(EintersectionH)

assuming taht x acn speak both

500 = (120+x) + (300+x) -x

500 = 420 + x

x=80


option 1 is correct

Answer 10

500people-300speak hindi-120english =80that can speak both