CAT Practice Question and Answer

Q: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4947 0

  • 1
    8 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    7.5 kmph
    Correct
    Wrong
  • 4
    5.5 kmph
    Correct
    Wrong
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Answer : 2. "6 kmph"
Explanation :

Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph

Q: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4939 0

  • 1
    3/17
    Correct
    Wrong
  • 2
    4/21
    Correct
    Wrong
  • 3
    2/21
    Correct
    Wrong
  • 4
    5/17
    Correct
    Wrong
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Answer : 3. "2/21"
Explanation :

Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

Q: "Kargil Vijay Diwas" was observed on _____. 4925 0

  • 1
    26 July
    Correct
    Wrong
  • 2
    27 July
    Correct
    Wrong
  • 3
    25 July
    Correct
    Wrong
  • 4
    29 July
    Correct
    Wrong
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Answer : 1. "26 July"
Explanation :

Answer: A) 26 July Explanation:

Q: In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is: 4914 0

  • 1
    9
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    7.5
    Correct
    Wrong
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Answer : 1. "9"
Explanation :

Answer: A) 9 Explanation: Speed in still water = Average of Speed in Upstream and speed in Downstream = 1/2 (12 + 6) kmph = 9 kmph.

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Answer : 4. "20 years"
Explanation :

Answer: D) 20 years Explanation: Present total age of the members = 26(5) = 130 years.   Present age of the youngest member = 10 years   Present total age of the remaining four members = 130 -10 = 120 years   Their average age at the time of the birth of the youngest member = 120-4×104 = 30 - 10 = 20 years.

Q: A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ? 4907 0

  • 1
    1.5 hrs
    Correct
    Wrong
  • 2
    1 hrs
    Correct
    Wrong
  • 3
    2.5 hrs
    Correct
    Wrong
  • 4
    2 hrs
    Correct
    Wrong
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Answer : 4. "2 hrs"
Explanation :

Answer: D) 2 hrs Explanation: Speed in downstream = 96/8 = 12 kmph Speed of current = 4 km/hr Speed of the boatman in still water = 12 – 4 = 8 kmph Speed in upstream = 8 – 4 = 4 kmph Time taken to cover 8 km upstream = 8/4 = 2 hours.

Q: Find the missing number in the given series ? 15, 51, 216, 1100, ?, 46452 4892 0

  • 1
    5660
    Correct
    Wrong
  • 2
    6560
    Correct
    Wrong
  • 3
    6750
    Correct
    Wrong
  • 4
    6630
    Correct
    Wrong
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Answer : 4. "6630"
Explanation :

Answer: D) 6630 Explanation: Let first no. be "k" and multiple be "l"...start value of y with 3then,[(k x y) + {l x (l-1)}]Thus, we get 15 x 3 + 3 x 2 = 5151 x 4 + 4 x 3 = 216216 x 5 + 5 x 4 = 11001100 x 6 + 6 x 5 = 66306630 x 7 + 7 x 6 = 46452 Therefore, the missing number is 6630.

Q: Bill : Law :: ? : Insect 4891 0

  • 1
    Pupa
    Correct
    Wrong
  • 2
    Stage
    Correct
    Wrong
  • 3
    Larva
    Correct
    Wrong
  • 4
    Bird
    Correct
    Wrong
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Answer : 3. "Larva"
Explanation :

Answer: C) Larva Explanation: A Bill becomes a Law; a Larva becomes an insect. (Or) A Bill turns into a law; a Larva turns into an Insect.

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