Question

At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There no foreign doctors. How many foreigners and women doctors are attending the conference?

Answer is 1.

Answer 1

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1. At a certain conference of 100 people,there are 29 Indians women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. If 8A foreigners and B women doctors are attending the conference, then find the value of A-B.

5 years ago

Answers : (1)

Number of indians= indian men+indian women

= 29+23=52

Number of foreigners=100-52=48

Given, number of foreigners=8A

So, A=6

And of the 24 people whose information is given as:

‘Of these Indian people 4 are doctors and 24 are either men or doctors.’

As we have 23 indian men, there are 3 who are men and doctors as:

The following eqn is just written considering only the Indian doctors and men specifically as information given in the question

n(M+D)= n(M)+n(D)-n(M.D)

24= 23+4-n(M.D)

n(M.D)=3

this means that 3 indian men who are doctors.

As 4 indians are doctors, so only 1 indian woman is a doctor

And , there is no foreign doctor, so

Number of women doctors at the conference=1 =B

Hope this helps