Practice Question and Answer

Q: fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? 3463 0

  • 1
    3/91
    Correct
    Wrong
  • 2
    2/73
    Correct
    Wrong
  • 3
    1/91
    Correct
    Wrong
  • 4
    3/73
    Correct
    Wrong
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Answer : 1. "3/91"
Explanation :

Answer: A) 3/91 Explanation: In a circle of n different persons, the total number of arrangements possible = (n - 1)!Total number of arrangements = n(S) = (15 – 1)! = 14 !Taking three persons as a unit, total persons = 13 (in 4 units)Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =n(E) = 12! X 3!Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91

Q:

Among T, M, S, J and U each having different heights. J is shorter only than T.M is not as tall as U and U is shorter than S. Who among them is the shortest?

3463 0

  • 1
    J
    Correct
    Wrong
  • 2
    M
    Correct
    Wrong
  • 3
    S
    Correct
    Wrong
  • 4
    U
    Correct
    Wrong
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Answer : 2. "M"

Q:

A hiker walks 2 km South, then he turns West and walks for 4 km, then he turns North and walks for 5 km, then he turns to his right and walks for 4 km. Where is he now with respect to his starting position?

3463 0

  • 1
    7 km North
    Correct
    Wrong
  • 2
    3 km North
    Correct
    Wrong
  • 3
    3 km South
    Correct
    Wrong
  • 4
    7 km South
    Correct
    Wrong
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Answer : 3. "3 km South"

Q:

In the given figure, AB, AE, EF, FG and GB are semicircles. AB=56 cm and AE=EF=FG=GB. What is the area (in cm2) of the shaded region?

3461 0

  • 1
    414.46
    Correct
    Wrong
  • 2
    382.82
    Correct
    Wrong
  • 3
    406.48
    Correct
    Wrong
  • 4
    394.24
    Correct
    Wrong
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Answer : 4. "394.24"

Q: 34 is related to 12 in the same way as 59 is related to 3461 0

  • 1
    45
    Correct
    Wrong
  • 2
    38
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 1. "45"
Explanation :

Answer: A) 45 Explanation: The second number is the product of the digits of the first.

Q:

Raju started his journey by going 4 km towards the north direction, then 3 km towards the west and then 8 km south. How far is he from the initial point?

3461 1

  • 1
    6 km
    Correct
    Wrong
  • 2
    5 km
    Correct
    Wrong
  • 3
    7 km
    Correct
    Wrong
  • 4
    8 km
    Correct
    Wrong
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Answer : 2. "5 km"

Q: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? 3458 0

  • 1
    31 min
    Correct
    Wrong
  • 2
    29 min
    Correct
    Wrong
  • 3
    28 min
    Correct
    Wrong
  • 4
    30 min
    Correct
    Wrong
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Answer : 4. "30 min"
Explanation :

Answer: D) 30 min Explanation: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24Suppose the tank is filled in x minutes.Then, x/2(1/24 + 1/40) = 1(x/2) * (1/15) = 1 => x = 30 min.

Q: 96% of the population of a village is 23040. The total population of the village is ? 3457 0

  • 1
    24000
    Correct
    Wrong
  • 2
    32256
    Correct
    Wrong
  • 3
    25478
    Correct
    Wrong
  • 4
    26587
    Correct
    Wrong
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Answer : 1. "24000"
Explanation :

Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.

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