Bissoy.com
Doctors Medicines MCQs Q&A

In a survey of 1,000 consumers it is found that 720 consumers liked product A and 450 liked product B. What is the least number that must have liked both the products?

In a survey of 1,000 consumers it is found that 720 consumers liked product A and 450 liked product B. What is the least number that must have liked both the products? Correct Answer 170

Given:

Total consumers = 1000

Consumers who like product A = 720 

Consumers who like product B = 450

Formula Used: 

n(A U B) = n(A) + n(B) - n(A ∩ B) 

Calculation:

Least number that like both the products are n(AꓵB)

⇒ 1000 = 720 + 450 - n(A ∩ B)   

⇒ 1000 = 1170 - n(A ∩ B)

⇒ n(A ∩ B) = 170

∴ 170 consumers like both the products A and B 

Related Questions

In a survey of n students of a collage, it was found that 52% liked watching movies, 45% liked watching Web series and 65% liked watching TV Serials. Also, 22% liked watching movies and web series both, 25% liked watching web series and TV serials both and 30% liked watching movies and TV serials both. 10% liked watching all the three and 5% liked watching none of these. If the total number of students who liked watching only one of the three given programs is 190. Then, what is the value of n?
In a survey it was found that 21 people liked fictional movies, 26 liked horror movies and 29 people liked comedy movies. If 14 people liked fictional and horror movies, 12 people liked fictional and comedy movies, 14 people liked horror and comedy movies and 8 people liked all three kinds of movie. Find how many people liked exactly 2 type of movies.
In a survey it was found that 21 people liked fictional movies, 26 liked horror movies and 29 people liked comedy movies. If 14 people liked fictional and horror movies, 12 people liked fictional and comedy movies, 14 people liked horror and comedy movies and 8 people liked all three kinds of movie. Find how many people liked only comedy movie.
Out of 500 consumers, 250 consumers liked product A and 275 liked product B. At least how many consumers liked both the product?
A group conducted a survey of 100 consumers and reported that 72 consumers like apples and 45 consumers like oranges, what is the least number that must have liked both products?
In a survey of 400 students in a school, 100 students liked apple juice, 150 students liked orange juice and 75 students liked both apple and orange juice. Find the number of students which neither liked apple nor orange juice?
In a office, 72% people liked Tea and 44% people liked Coffee. If each of them liked either Coffee or Tea and 40 liked both, what is the number of employee?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. which of the following must vote in favor of Bill 1 ?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. If any bill is to be passed,which of the following must be among the legislators who vote in favor of it?
In a survey of 100 students, it was found that 25 students have enrolled for Navy AA test series, 26 students have enrolled for NDA test series, 26 students have enrolled for Airforce group X test series, 9 students have enrolled for both Navy AA and Airforce group X test series, 11 students have enrolled for both Navy AA and NDA test series, 8 students have enrolled for both NDA and Airforce group X test series whereas 3 students have enrolled in all three test series. Find the number of students who have enrolled exactly in any two test series.