Venn diagram, double-matrix, sequences and mixtures.

1. A drama club has 75 members. At most 70 of the drama club members are in the students unioIn. If there are 90 students in the students union, then what could be the number of members of students union who are not in the drama club?

• 20
• 75
• 90
• 80
• 5

2. In a certain flight, 3/4 of its seats were booked, including 2/3 of its business class seats. If 3/5 of its seats were business class, then what percent of the seats that were not booked were business class?

• 20%
• 33%
• 35%
• 45%
• 80%

3. Out of the total of 90 artists in a group, 60 use brand x and 45 use brand y. Quantity A: Number of artists using both the brands. Quantity B: 15

• A
• B
• C
• D

4. Of 30 cricket players selected, half are allotted to senior the team and half to the junior team. 60% of players prefer the senior team and the rest prefer the junior team. What is the least number of players who will not be assigned to the team they prefer?

• 3
• 4
• 5
• 6
• 7

5.Mrs. Williams invited 120 guests who were either her relatives or her colleagues or both. If 60% of the guests were her colleagues and 20% of her relatives were her colleagues too, how many guests were her relatives? Write your answer in number.

6. In a class of 180 students, the number of students who passed in Math but not in Chemistry is less than the total number of students who passed in Chemistry, and exactly 10 students failed in both the subjects. Quantity A: Number of students who passed only in math. Quantity B: 85

• A
• B
• C
• D

7. Twenty percent of the MBA students in XYZ Institute have passed the group discussion round. Among the students who have not passed the group discussion round, 20 have taken the preparatory course and 40 have not taken the course. How many MBA students are there in the Institute?

• 20
• 45
• 60
• 75
• 80

8. In party attended by 80 guests, each guest who had a burger also had a soft drink whereas 15 guests had neither of the two. Quantity A: The number of guests who had only soft drinks. Quantity B: 0

• A
• B
• C
• D

9. In an office 40% of 200 employees are females, 30% of the male employees earn less than $5000 per month. If more than half of the employees earn at least $5000 per month, which of the following cannot be the number of female employees earning less than $5000 per month?

• 70
• 80
• 90
• 100
• 40

10. The definition of a sequence is given below: Quantity A: 4th element of the above sequence. Quantity B: 388

• A
• B
• C
• D