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Statistics and Average

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Question: The average of 7 numbers of 40. If 3 more numbers with an average of 21 are added to these numbers,what will be the average of the combined 10 numbers?

  1. a.
    6.1
  2. b.
    30.1
  3. c.
    30.3
  4. d.
    34.3
  5. e.
    61
Answer: d

Question: In a group of 5 men, no 2 men have the same age. The eldest man is 50 years old and the youngest 30 years old, If x years is the average age of the men in the group, which of the following best indicates all and only possible values of x?(All ages are in whole numbers)

  1. a.
    32 < x < 48
  2. b.
    33 < x < 46
  3. c.
    35 < x < 45
  4. d.
    30 < x < 50
  5. e.
    31 < x < 49
Answer: d

Question: If 10 students scored 61, how many students scored more than or equal to 62?

  1. a.
    37
  2. b.
    47
  3. c.
    17
  4. d.
    27
  5. e.
    None of them
Answer: e

Question: Average weight of 8 persons is 120 lb. One person leaves the group and a new person comes in and the new average is 122 lb. If the weight of the outgoing person is 110 lb, then what is the weight of the incoming person?

  1. a.
    126
  2. b.
    122
  3. c.
    118
  4. d.
    120
  5. e.
    None of them
Answer: a

Question: The average of 10 numbers is -10. If the sum of 6 of them is 100, then what is the average of the other 4 numbers?

  1. a.
    -100
  2. b.
    -50
  3. c.
    50
  4. d.
    100
Answer: b

Question: The average weight of 3 men is 53 kg. None of them weights less than 51 kg. What is the maximum possible weight (in kg) of a person in that group?

  1. a.
    57
  2. b.
    59
  3. c.
    53
  4. d.
    55
  5. e.
    None
Answer: a

Question: The addition of 10 digits is 462. The average of their first four digits is 52 and the average of last 5 digits is 38. What is the fifth digit?

  1. a.
    64
  2. b.
    60
  3. c.
    50
  4. d.
    62
Answer: a

Question: Karim, Rahim, Ram & Shyam have the following probabilities of passing the admission test 20%, 30%, 25% and 50% respectively. What is the probability of Karim, Rahim and Shyam will pass the test?

  1. a.
    30%
  2. b.
    3%
  3. c.
    0%
  4. d.
    100%
  5. e.
    50%
Answer: b

Question: What is the average of 0.36, 4.6, 0.64 and 2.4?

  1. a.
    1
  2. b.
    2
  3. c.
    2.5
  4. d.
    10
  5. e.
    None of these
Answer: b

Question: If p is less than q , which of the following is the greater than p and less than q?

  1. a.
    (q – p)/2
  2. b.
    pq/2
  3. c.
    (p + q)/2
  4. d.
    pq
  5. e.
    q – p
Answer: c

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