wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In a group of 800 people, 500 can speak Hindi and 320 can speak English. Let α be the number of people who speak both languages. Then

A
320α500
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
20α320
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
α320
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
α320
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 20α320
Let H be the set of people who speaks Hindi,
and E be the set of people who speaks English.

n(U)=800,n(H)=500,n(E)=320
n(HE)=α
n(HE)=n(H)+n(E)n(HE)
n(HE)=820α
α=820n(HE)

For α to be minimum, n(HE) should be maximum.
αmin=820800=20

Also, αmin{n(H),n(E)}=320
Hence, 20α320

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cardinal Properties
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon