CAT Practice Question and Answer

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 ? 4632 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: In India, planned economy is based on 4623 0

  • 1
    Mixed Economy System
    Correct
    Wrong
  • 2
    Capitalist System
    Correct
    Wrong
  • 3
    Gandhian System
    Correct
    Wrong
  • 4
    Socialist System
    Correct
    Wrong
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Answer : 4. "Socialist System"
Explanation :

Answer: D) Socialist System Explanation:

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 ? 4613 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: Who became the first Asian women to sail around the world ? 4605 0

  • 1
    Golda Meir
    Correct
    Wrong
  • 2
    Ujwala Patil
    Correct
    Wrong
  • 3
    Cleopatra
    Correct
    Wrong
  • 4
    Sirimavo Bandaranaike
    Correct
    Wrong
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Answer : 2. "Ujwala Patil"
Explanation :

Answer: B) Ujwala Patil Explanation:

Q: The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price? 4587 0

  • 1
    Rs. 380
    Correct
    Wrong
  • 2
    Rs. 420
    Correct
    Wrong
  • 3
    Rs. 460
    Correct
    Wrong
  • 4
    Rs. 440
    Correct
    Wrong
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Answer : 2. "Rs. 420"
Explanation :

Answer: B) Rs. 420 Explanation: As given in the question, Marked price is 25% more than the Cost price. => C.P of the article = 34 x 400 = 300  Now,  Let the original S.P of the article be Rs. P Now the new S.P = P + 16.666 +13.333300 x P  => S.P = 7P6 According to the question, 7P6 - 300 = 2P - 300 => 5P = 1800 => P = Rs. 360 Hence, the increased S.P = 360 x 7/6 = Rs. 420.

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: 4540 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.

Q: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ? 4539 0

  • 1
    Rs. 5500
    Correct
    Wrong
  • 2
    Rs. 6000
    Correct
    Wrong
  • 3
    Rs. 6200
    Correct
    Wrong
  • 4
    Rs. 6350
    Correct
    Wrong
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Answer : 2. "Rs. 6000"
Explanation :

Answer: B) Rs. 6000 Explanation: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?Ratio of increase of wages = 22:25Ratio of decrease of labourers = 15:11Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275Final bill = Rs. 5000For 275 ratio wages = Rs. 5000For 1 ratio wages = 5000/275For 330 ratio wages = 5000/275 x 330 = Rs. 6000

Q: The concept of Economic planning in India is derived from ________. 4522 0

  • 1
    Russia
    Correct
    Wrong
  • 2
    Australia
    Correct
    Wrong
  • 3
    USA
    Correct
    Wrong
  • 4
    UK
    Correct
    Wrong
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Answer : 1. "Russia"
Explanation :

Answer: A) Russia Explanation:

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