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Counting and Venn Diagram

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Question: 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?

  1. a.
    None
  2. b.
    1
  3. c.
    2
  4. d.
    3
  5. e.
    5
Answer: b

Question: ½ × ¾ × 8/4 ÷ 8/2 × ½ =

  1. a.
    3/32
  2. b.
    3/8
  3. c.
    2/3
  4. d.
    1
  5. e.
    3/2
Answer: a

Question: There are 200 questions on a 3-hour examination. Among these questions 50 are mathematics problems. It is suggested that twice as much as time be spent on each math problem as for each other question. How many minutes should be spent on mathematics problems?

  1. a.
    36
  2. b.
    72
  3. c.
    60
  4. d.
    100
  5. e.
    None of these
Answer: b

Question: In how many ways can you arrange the latters A, B, C and D?

  1. a.
    12
  2. b.
    8
  3. c.
    6
  4. d.
    24
  5. e.
    4
Answer: a

Question: 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:

  1. a.
    72
  2. b.
    60
  3. c.
    30
  4. d.
    90
Answer: d

Question: 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?

  1. a.
    57
  2. b.
    60
  3. c.
    84
  4. d.
    48
Answer: c

Question: 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 red and large?

  1. a.
    30
  2. b.
    25
  3. c.
    60
  4. d.
    45
  5. e.
    None of them
Answer: d

Question: 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?

  1. a.
    90%
  2. b.
    87.5%
  3. c.
    66.7%
  4. d.
    50%
  5. e.
    None of these
Answer: e

Question: 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?

  1. a.
    165%
  2. b.
    90%
  3. c.
    65%
  4. d.
    10%
  5. e.
    None of these
Answer: e

Question: 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?

  1. a.
    5
  2. b.
    6
  3. c.
    7
  4. d.
    9
  5. e.
    none of these
Answer: a

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