CAT Practice Question and Answer

Q: There are 6561 balls are there out of them 1 is heavy. Find the minimum number of times the balls have to be weighted for finding out the heavy ball ? 1474 0

  • 1
    2414
    Correct
    Wrong
  • 2
    204
    Correct
    Wrong
  • 3
    87
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: Suppose there are 9 balls   Let us give name to each ball B1 B2 B3 B4 B5 B6 B7 B8 B9   Now we will divide all the balls into 3 groups.   Group1 - B1 B2 B3   Group2 - B4 B5 B6   Group3 - B7 B8 B9   Step1 - Now weigh any two groups. Let's assume we choose Group1 on left side of the scale and Group2 on the right side.   So now when we weigh these two groups we can get 3 outcomes.   Weighing scale tilts on left - Group1 has a heavy ball.Weighing scale tilts on right - Group2 has a heavy ball.Weighing scale remains balanced - Group3 has a heavy ball.Lets assume we got the outcome as 3. i.e Group 3 has a heavy ball.   Step2 - Now weigh any two balls from Group3. Lets assume we keep B7 on left side of the scale and B8 on right side.   So now when we weigh these two balls we can get 3 outcomes.   Weighing scale tilts on left - B7 is the heavy ball.Weighing scale tilts on right - B8 is the heavy ball.Weighing scale remains balanced - B9 is the heavy ball.The conclusion we get from this Problem is that each time weigh. We element 2/3 of the balls.   As we came to conclusion that Group3 has the heavy ball from Step1, we remove 6 balls from the equation i.e (2/3) of 9.   Simillarly we do the ame thing for the Step2.   Now going with this conclusion. We have 6561 balls.   Step - 1   Divided into 3 groups   Group1 - 2187Balls   Group2 - 2187Balls   Group3 - 2187Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 2   Divided into 3 groups   Group1 - 729Balls   Group2 - 729Balls   Group3 - 729Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 3   Divided into 3 groups   Group1 - 243Balls   Group2 - 243Balls   Group3 - 243Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 4   Divided into 3 groups   Group1 - 81Balls   Group2 - 81Balls   Group3 - 81Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 5   Divided into 3 groups   Group1 - 27Balls   Group2 - 27Balls   Group3 - 27Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 6   Divided into 3 groups   Group1 - 9Balls   Group2 - 9Balls   Group3 - 9Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 7   Divided into 3 groups   Group1 - 3Balls   Group2 - 3Balls   Group3 - 3Balls   Taking the similar steps as we did in the above example, we come to the conclusion that Group1 has the heavy ball.   Step - 8   So now when we weigh 2 balls out of 3 we can get 3 outcomes.   Weighing scale tilts on left - left side placed is the heavy ball.Weighing scale tilts on right - right side placed is the heavy ball.Weighing scale remains balanced - remaining ball is the heavy ball.So the general answer to this question is, it is always multiple of 3 steps.   For 9 balls  32= 9. therefore 2 steps   For 6561 balls 38 = 6561 therefore 8 steps

Q: A group that has exclusive business rights and titles 1474 0

  • 1
    Corporation
    Correct
    Wrong
  • 2
    Proprietorship
    Correct
    Wrong
  • 3
    Company
    Correct
    Wrong
  • 4
    Investment
    Correct
    Wrong
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Answer : 2. "Proprietorship"
Explanation :

Answer: B) Proprietorship Explanation: A Proprietorship is a group that has exclusive business rights and titles. A proprietorship is a business with a single owner and not registered as a corporation, partnership or limited liability company.

Q: Privately owned businesses are common in which type of economy? 1474 0

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    Capitalist economies
    Correct
    Wrong
  • 2
    Socialist economies
    Correct
    Wrong
  • 3
    Gift economies
    Correct
    Wrong
  • 4
    Planned economies
    Correct
    Wrong
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Answer : 1. "Capitalist economies"
Explanation :

Answer: A) Capitalist economies Explanation:

Q: A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ? 1473 0

  • 1
    8 : 62.5
    Correct
    Wrong
  • 2
    55 : 8
    Correct
    Wrong
  • 3
    8 : 65
    Correct
    Wrong
  • 4
    64.4 : 9
    Correct
    Wrong
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Answer : 1. "8 : 62.5"
Explanation :

Answer: A) 8 : 62.5 Explanation:                       Article I                   Article II                         -20                         25%                                        5%                         20%                       25%                                                4              :              5 Now, Selling of first article = (4-20%) = 0.8 Selling of second article = (5+25%) =  6.25 Therefore the ratio of selling price = 8 : 62.5

Q: What is another name for the governor of a state? 1472 0

  • 1
    Chief Executive
    Correct
    Wrong
  • 2
    Attorney General
    Correct
    Wrong
  • 3
    Secretary of the State
    Correct
    Wrong
  • 4
    Vice Pesident
    Correct
    Wrong
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Answer : 1. "Chief Executive"
Explanation :

Answer: A) Chief Executive Explanation: Another name for the governor of the state is Chief Executive of the state. And we also know that, The attorney general is the head of the US Department of Justice, The vice president is just under the president of the US and The secretary of state is the head of the US Department of State.

Q: How many medals has been bagged by India in 5th Asian Indoor and Martial Arts Games ? 1472 0

  • 1
    19
    Correct
    Wrong
  • 2
    33
    Correct
    Wrong
  • 3
    27
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 4. "40"
Explanation :

Answer: D) 40 Explanation: With 9 gold, 12 silver and 19 bronze, India won 40 medals in 5th Asian Indoor and Martial Arts Games and finished the Games at 11th.

Q: Who has been named as president for its India and SAARC operations by Tech giant Cisco ? 1472 0

  • 1
    Sameer Garde
    Correct
    Wrong
  • 2
    Ravi Prakash
    Correct
    Wrong
  • 3
    Vyas Garg
    Correct
    Wrong
  • 4
    Ravi Mittal
    Correct
    Wrong
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Answer : 1. "Sameer Garde"
Explanation :

Answer: A) Sameer Garde Explanation:

Q: Who is the first richest person in India? 1471 0

  • 1
    Mukesh Ambani
    Correct
    Wrong
  • 2
    Azim Premji
    Correct
    Wrong
  • 3
    Dilip Shangvi
    Correct
    Wrong
  • 4
    Lakshmi Mittal
    Correct
    Wrong
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Answer : 1. "Mukesh Ambani"
Explanation :

Answer: A) Mukesh Ambani Explanation: According to 2018 January reports, Mukesh Ambani is the first richest person in India being 18th in the world, followed by Azim Premji and S.P. Hinduja in second and third places.

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