Set Theory Test...

A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:

15 had air conditioning

2 had air conditioning and power windows but no radios

12 had radio

6 had air conditioning and radio but no power windows

11 had power windows

4 had radio and power windows

3 had all three options

What is the number of cars that had none of the options?

How many numbers from 1 to 100 are not divisible by either 2 or 4 or 5?

In a class of 50 students, 70% students pass in QA and 60% pass in RC. What is the minimum percentage of students who pass in both the papers?

In a class of 50 students, 70% students pass in QA, 90% pass in EU, 85% pass in DI and 60% pass in RC. What is the minimum percentage of students who pass in all the papers?

In a class of 50 students, 70% students pass in QA, 90% pass in EU and 60% pass in RC. What is the minimum percentage of students who pass in all the papers?

At    the    birthday    party    of    Sherry,    a    baby    boy,    40    persons    chose    to    kiss   him    and    25    chose    to    shake    hands with    him.    10    persons    chose    to    both   kiss    him    and    shake    hands    with    him.    How    many    persons    turned    out    at the    party?

In the Mindworkzz club all the members participate either in the Tambola or the Fete. 320 participate in the Fete, 350 participate in the Tambola and 220 participate in both. How many members does the club have? 

There are 20000 people living in Defence colony,  Gurgaon. Out  of  them 9000  subscribe  to Star TV Network and 12000 to Zee TV Network. If  4000 subscribe to both,how many do not  subscribe  to any of the  two?

In a group of 120  athletes, the number of athletes who can  play Tennis, Badminton, Squash and Table Tennis is 70, 50, 60 and 30 respectively. What is the maximum number   of athletes who can play none of the games

Directions for Questions 1 to 3:    

Refer to the data  below and answer  the questions that  follow.

Last year, there were 3 sections in the Catalyst, a mock CAT paper. Out of them 33  students cleared the cut-off in Section 1, 34 students cleared the cut-off in Section 2 and 32 cleared the cut-off in Section 3. 10 students cleared the cut-off in Section 1 and Section 2, 9 cleared the cut-off in Section 2 and Section 3, 8 cleared the cut-off in Section 1 and Section 3. The number of people who cleared each section alone wasequal and was 21 for each section.

How many cleared all the three sections?

Last year, there were 3 sections in the Catalyst, a mock CAT paper. Out of them 33  students cleared the cut-off in Section 1, 34 students cleared the cut-off in Section 2 and 32 cleared the cut-off in Section 3. 10 students cleared the cut-off in Section 1 and Section 2, 9 cleared the cut-off in Section 2 and Section 3, 8 cleared the cut-off in Section 1 and Section 3. The numberof people who cleared each section alone wasequal and was 21 for each section.

How many cleared only one of the three sections ?

Last year, there were 3 sections in the Catalyst, a mock CAT paper. Out of them 33  students cleared the cut-off in Section 1, 34 students cleared the cut-off in Section 2 and 32 cleared the cut-off in Section 3. 10 students cleared the cut-off in Section 1 and Section 2, 9 cleared the cut-off in Section 2 and Section 3, 8 cleared the cut-off in Section 1 and Section 3. The numberof people who cleared each section alone wasequal and was 21 for each section.

The ratio of  the number of students clearing then cut-off in one or  more of  the sections to     the number of  students clearing the cutoff  in Section 1 alone is?

Directions: 

In a locality having 1500  households, 1000 watch Zee TV, 300 watch NDTV and 750 watch Star Plus.
Based on this information answer the questions that follow:

The minimum number of households watching Zee TV and Star Plus is:

Directions: 

In a locality having 1500  households, 1000 watch Zee TV, 300 watch NDTV and 750 watch Star Plus.
Based on this information answer the questions that follow:

The minimum number of  households watching both Zee TV and NDTV is:

Directions: 

In a locality having 1500  households, 1000 watch Zee TV, 300 watch NDTV and 750 watch Star Plus.
Based on this information answer the questions that follow:

The maximum number of  households who watch neither of the three channels is: