MyQuestionIcon

3

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Union

There are 1...

Question

There are $100$ men in town. out of which $85 %$ were married. $70 %$ have a phone, $75 %$ own a car, $80 %$ own a house. What is the maximum number of people who are married, own a phone, own a car and own a house ?

A

20

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

B

15

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

C

10

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

D

5

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

E

None of these

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

Open in App

Solution

The correct option is D $10$
% of married $= 85 %$
% of phone $= 70 %$
% of car $= 75 %$
% of house $= 80 %$
Therefore,
% of not married $= 15 %$
% of not having phone $= 30 %$
% of not owning car $= 25 %$
% of not having house $= 20 %$
So, % of not having any of these things $= 15 + 25 + 30 + 20 = 90 %$
So, % of people having all $= 100 - 90 = 10 %$
Thus, people $= 10.$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A survey of 100 families was conducted. 39 of these families own a car, 55 have an air – conditioner in their house, 58 own a TV and 58 own mobile phones. 20 families own exactly one of these things. The number of families who own only car and the number of families who own only mobile phone is the same. The number of families who own only TV and the number of families who own only air-conditioner is the same.5 families have only car and AC, 7 own only car & TV, 9 own only car & mobile phone,11 own only AC & TV, 13 own only AC & mobile phone, 15 own only TV & mobile phone. Number of families who own only AC is four times the families who own only Cars. Ten families own all four items. All 100 families own atleast one of these items.

How many people own TV and mobile phone?

Q. In a certain town,

25 %

of the families own a phone and

15 %

65 %

families own neither a phone nor a car and

2, 000

families own both a car and a phone. Consider the following three statements :
(a)

5 %

families own both a car and a phone
(b)

35 %

families own either a car or a phone
(c)

40, 000

families live in the town
Then,

Q. In a certain town ,

25

% families own a phone and

15

65

% families own neither a phone nor a car.

2000

families own both a car and a phone. Consider the following statements in this regard.
I) 10% families own both a car and a phone
II) 35% families own either a car or a phone
III) 40,000 families live in the town.
Which of the above statements are correct ?

Q. In a certain town,

60 %

of the families own a car,

30 %

own a house and

20 %

own both car and house. If a family is randomly chosen, then what is the probability that this family owns a car or a house but not both?

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Types of Sets

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon