Two Sets Venn Diagram

Q. In an university out of 100 students 15 offered mathematics only 12 offered statistics only 8 offered physics only 40 offered of Physics and Mathematics 20 offered physics and Statistics 10 offered mathematics and Statistics 65 offered physics find the number of students who offered Mathematics Statistics Did not offer any of the three subjects

Q.

A and B rent a pasture for 10 months; A puts in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?

1. 93

2. 45

3. 120

4. 180

5. 280

Q.

To win an election, a candidate needs ${\frac{3}{4}}^{th}$ of the votes cast. If after ${\frac{2}{3}}^{rd}$ of the votes have been counted, a candidate has ${\frac{5}{6}}^{th}$ of what he needs, then what part of the remaining votes does he still he need?

1. 

2. 

3. 

4. 

Q.

What number is 10% of 1000?

1. 200

2. 100

3. 400

4. None of These

Q. The number of boys from Anthropology department is approximately what per cent of the total number of boys from all the departments together?

1. 23
2. 31
3. 44
4. 15
5. 56

Q. Out of the total number of books purchased by libraries A and B together in 2008, only 20% are graphic novels. What is the total number of graphic novels purchased for libraries A and B together in 2008?

1. 272
2. 324
3. 336
4. 312
5. 288

Q.

In a group of students, 60% can speak English and 75% can speak Hindi. If 25% of the students can speak none of the two languages, then what percent of the group can speak both languages?

1. 20%

2. None of These

3. 40%

4. 60%

Q.

A dishonest dealer professes to sell his goods at their original price. But he uses a false load while measuring and gains $6\frac{18}{47}\%$.
What is the actual weight of the load which is marked 1 kg?

1. 940 gms

2. 947 gms

3. 960 gms

4. 965 gms

5. 953 gms

Q.

If number x is 20% less than another number y and y is 40% more than 100, then find out the value of x.

1. 64

2. 112

3. 116

4. None of these

Q.

Total number of students studying at post - graduate level from institutes N and P is:

1. 5601

2. 5944

3. 7904

4. 6669

5. 6345

Q. In an examination, 38% of students failed in Science and 33% failed in Maths while 19% failed in both the subjects. If the number of students who passed in only Science is 700, then determine the total number of students who appeared in the examination.

1. 350
2. 500
3. 5000
4. 3500
5. 1400

Q.

What is the total number of teachers teaching Chemistry, English and Biology?

1. None of these

2. 1226

3. 1116

4. 1176

5. 998

Q. In a school, 40% of the students draw and paint. 40% of those who draw do not paint. If the students do one of the two, then what % of students paint?

1. 50.54
2. 70
3. 82.3
4. 73.33

Q. In which year was the total number of girls enrolled in all the three schools together second highest?

1. 2004
2. 2005
3. 2006
4. 2007
5. 2008

Q.

What is the total number of graduate and post - graduate level students in institute R?

1. 8320

2. 7916

3. 9116

4. 8372

5. 7120

Q. What is the difference between the number of females who are non-graduates and the number of males who are graduates?

1. 2
2. 24
3. 4
4. 116
5. 36

Q.

What is the number which is $5\%$ more than $600$?

1. $605$

2. $650$

3. $630$

4. none of these

Q.

How many boys are enrolled in singing and craft together?

1. 505

2. 610

3. 485

4. 420

5. None of these

Q.

One cricket set contains $6$ wickets and $2$ bats. Can Vikram buy a complete set containing $6$ bats and $18$ wickets?

Q. What is the respective ratio between the number of students who opted for painting and those who opted for karate?

1. 16 : 5
2. 3 : 7
3. 5 : 16
4. 5 : 7
5. None of these

Q.

Two students appeared at an examination. A secured 50 marks more than B. 50% of the sum of marks secured by both A and B is equal to 100. The individual marks secured by A and B is respectively:

1. 125, 75

2. 200, 150

3. 75, 125

4. 100, 50

Q. In which year was in zone S the difference between the appeared candidates and qualified candidates second lowest?

1. 2008
2. 2009
3. 2010
4. 2005
5. 2007

Q. What is the total number of students enrolled in all the three classes together?

1. 135
2. 164
3. 187
4. 142
5. None of these

Q. What is the sum of the number of females who are graduates and the number of males who are non-graduates?

1. 184
2. 96
3. 156
4. 84
5. 196

Q. In all how many children play Football?

1. 8
2. 17
3. 15
4. 14
5. None of these

Q. What is the maximum percentage of people who can watch all the three channels ?(CAT 1997)

1. 15%
2. Data insufficient
3. 8.5%
4. 12.5%

Q. What is the total number of children from villages P and M together?

1. 1122
2. 1211
3. None of these
4. 1422
5. 1142

Q.

What is the difference between the total number of teachers who teach English and Physics together and the total number of teachers who teach Mathematics and Biology together?

1. 653

2. 352

3. 342

4. 643

5. None of these

Q.

I. Employees of the given companies can be categorised only into three types:
Science Graduates, Commerce Graduates and Arts Graduates.

II. Few values are missing in the table (indicated by ___). A candidate is expected to calculate the missing value, if it is required to answer the given questions, on the basis of the given data and information.

What is the difference between the number of Arts Graduate employees and Science Graduates employees in Company N?

1. 87
2. 89
3. 81
4. 77
5. 73

Q.

What is the difference between the number of ACs of Quality A and Quality B?

1. None of these

2. 25

3. 35

4. 50

5. 40