You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Venn Diagram

From a survey...

Question

From a survey of $100$ college students, a marketing research company found that $75$ students owned stereos, $45$ owned cars, and $35$ owned cars and stereos. How many students owned either a car or a stereo?

85

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

47

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

68

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

None of these

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

Open in App

Solution

The correct option is C $85$
$A \cup B = A + B - A \cap B = 75 + 45 - 35 = 85$

Suggest Corrections

Similar questions

Q. From a survey of

100

college students, a marketing research company found that

75

students owned stereos,

45

owned cars, and

35

owned cars and stereos. How many students did not own neither a car or a stereo?

Q. In a certain town,

25 %

of the families own a phone and

15 %

own a car;

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. 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 ?

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. Out of

500

car owners investigated,

400

owned car

A

and

200

owned car

B, 50

owned both

A

and

B

cars. Is this data correct?

Join BYJU'S Learning Program

From a survey of 100 college students, a marketing research company found that 75 students owned stereos, 45 owned cars, and 35 owned cars and stereos. How many students owned either a car or a stereo?

The correct option is C 85A∪B=A+B−A∩B=75+45−35=85

From a survey of $100$ college students, a marketing research company found that $75$ students owned stereos, $45$ owned cars, and $35$ owned cars and stereos. How many students owned either a car or a stereo?

The correct option is C $85$
$A \cup B = A + B - A \cap B = 75 + 45 - 35 = 85$