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Question: 120 students in a class play cricket or football or both. If 75 students play cricket and 60 students play football, how many play both?

  1. a.
    15
  2. b.
    16
  3. c.
    76
  4. d.
    38
  5. e.
    None of these
Answer: a

Question: In how many ways can a subcommittee of five persons be formed from amongst 4 women & 6 men so that one particular man and one particular woman is always included?

  1. a.
    56
  2. b.
    58
  3. c.
    64
  4. d.
    30
  5. e.
    42
Answer: a

Question: How many different committees of 3 members can be chosen out of 5 persons in a group so that one particular person is always chosen?

  1. a.
    6
  2. b.
    8
  3. c.
    4
  4. d.
    5
  5. e.
    None of these
Answer: a

Question: From 6 boys and 4 girls, 5 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 2 girls?

  1. a.
    60
  2. b.
    30
  3. c.
    90
  4. d.
    120
  5. e.
    15
Answer: a

Question: How many combinations are possible if a person has 4 sports jackets, 5 shirts and 3 pair of socks?

  1. a.
    4
  2. b.
    5
  3. c.
    60
  4. d.
    12
  5. e.
    15
Answer: c

Question: A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors and 200 sophomores who applied. Each seniors name is placed in the lottery 3 times; each junior's name 2 times and each sophomore's 1 time. What is the probability that a senior's name will be chosen?

  1. a.
    1/8
  2. b.
    2/9
  3. c.
    2/7
  4. d.
    3/8
  5. e.
    None of these
Answer: d

Question: From 7 boys and 5 girls, 6 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 3 girls?

  1. a.
    350
  2. b.
    65
  3. c.
    1050
  4. d.
    120
  5. e.
    250
Answer: a

Question: In Rajshahi 5 adults are unemployed for every 120 who have jobs. Out of 2125 adults how many have jobs?

  1. a.
    2040
  2. b.
    1896
  3. c.
    425
  4. d.
    89
  5. e.
    None of these
Answer: a

Question: Form a group of 7 men & 6 women 5 persons are to be selected to from acommittee so that at least 3 men are there on the committee. In how many ways can it be done?

  1. a.
    564
  2. b.
    645
  3. c.
    800
  4. d.
    756
  5. e.
    735
Answer: d

Question: In a container there are 2 green marbles and 2 red marbles. You randomly pick two marbles. What is the probability that both of them are green?

  1. a.
    1/2
  2. b.
    1/3
  3. c.
    1/6
  4. d.
    1/8
  5. e.
    None of these
Answer: c

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