Counting and Venn Diagram

1. In a group of 15, 7 have studied Latin, 8 have studied Greek and 3 have not studied either. How many of these studied both Latin and Greek?

• ক. 0
• খ. 3
• গ. 4
• ঘ. 5

2. ½ × ¾ × 8/4 ÷ 8/2 × ½ =

• ক. 3/32
• খ. 3/8
• গ. 2/3
• ঘ. 1

3. A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be260. If the zoo had either pigeons or horses, how many horses were there in the zoo?

• ক. 40
• খ. 30
• গ. 50
• ঘ. 60

4. A person has Tk.950 consisting of the notes of Tk.500, Tk.100, Tk.50 and Tk.10. How many notes should at least be there of Tk.50?

• ক. None
• খ. 1
• গ. 2
• ঘ. 3

5. In a random survey 25 out of 150 people were able to give a correct answer to the question asked. If 500 people are surveyed about how many would be expected to answer the question correctly?

• ক. 4
• খ. 20
• গ. 83
• ঘ. 325

6. In Sajib’s collection, Bangladeshi stamp is 3 times more than the stamps of other countries. Which of the following cannot be the number of stamps in Sajib’s collection?

• ক. 96
• খ. 72
• গ. 54
• ঘ. 32

7. In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science?

• ক. 37
• খ. 27
• গ. 23
• ঘ. 25

8. A room contains 200 people, 25% of whom are graduates. A group of people 30% of whom are graduates leave the room. Of the remaining people 10% are graduates. How many people did leave the room?

• ক. 150
• খ. 145
• গ. 125
• ঘ. 120

9. In a class of 120 students, 70 percent can speak Bengali and the rest can speak only English. If 25 percent of those in the class who can speak English can also speak Bengali, how many of the students in the class can Bengali?

• ক. 57
• খ. 60
• গ. 84
• ঘ. 48

10. In a class of 120 students, 60 percent can speak English and the rest can speak only Bengali. If 25 percent of those in the class who can speak English can also speak Bengali, how many of the students in the class can Bengali?

• ক. 54
• খ. 60
• গ. 66
• ঘ. 84

11. Two-third of the faculty members of a department are female. Twelve of the male teachers are unmarried, while 60% of them are married. The total number of faculty members in the department is:

• ক. 72
• খ. 60
• গ. 30
• ঘ. 90

12. In a class of 50 students, 18 take music, 26 take art and 2 take both music and art. How many students in the class are not enrolled in either music or art?

• ক. 6
• খ. 8
• গ. 11
• ঘ. 15

13. In a group of 15 high school students, 7 study Latin, 8 study French and 3 study nither Latin nor French. How many students study both Latin and French?

• ক. 3
• খ. 0
• গ. 15
• ঘ. 4

14. In a shipment of 120 machine parts, 5 percent were defective. In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined what percent of the machine parts were defective?

• ক. 6.5%
• খ. 7%
• গ. 7.5%
• ঘ. 8.0%

15. Govt. Laboratory High School has 10 members in its chess team and 14 members in its science club. Five students a the school belong to both the chess team and science club. How many students belong to only the chess team?

• ক. 5
• খ. 6
• গ. 7
• ঘ. 9

16. The cost of picture frame M is Tk.10.00 less than 3 times the cost of picture frame N. If the cost of frame M is Tk.50.00, what is the cost of frame N?

• ক. Tk.13.33
• খ. Tk.16.66
• গ. Tk.20.00
• ঘ. Tk.26.66

17. A motor pool has 300 vehicles of which 30% are trucks. 20% of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are nither trucks nor diesel?

• ক. 165%
• খ. 90%
• গ. 65%
• ঘ. 10%

18. In the excel manufacturing Company, 46 percent of the employee are men. If 60 percent of the employee are unionized and 70 percent of them are men, what percent of the non-unionized workers are women?

• ক. 90%
• খ. 87.5%
• গ. 66.7%
• ঘ. 50%

19. Half of the students of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school?

• ক. 900
• খ. 360
• গ. 550
• ঘ. 1800

20. From 1:09 pm to 1:13 pm Arif read pages 109 to 113 of a nobel. What is his rate of reading in pages per munite?

• ক. 5/4
• খ. 4/5
• গ. 1
• ঘ. 3/5

21. In a production lot 40% toys are red and the remaining are green. Half of the toys are small and half are large. 10% of the toys are red and small and 30 toys are green and large. How many toys are there in total in the production lot?

• ক. 150
• খ. 200
• গ. 225
• ঘ. 125

22. Saplings are to be planted 30 feet apart along one side of a straight lane 455 feet long. If the first sapling is to be planted at one end of the lane, how many saplings are needed?

• ক. 13
• খ. 14
• গ. 15
• ঘ. 16

23. Of 30 applicants for a job, 14 had at least 4 years exprience, 18 had degrees and 3 had less than 4 years exprience and did not have a degree. How many of the applicants had at least 4 years exprience and a degree?

• ক. 14
• খ. 13
• গ. 9
• ঘ. 7