CAT Practice Question and Answer
8Q: 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 05b5cc70ee4d2b4197774f351
5b5cc70ee4d2b4197774f351- 12414false
- 2204false
- 387false
- 48true
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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 05b5cc69ae4d2b4197774c7ae
5b5cc69ae4d2b4197774c7ae- 1Corporationfalse
- 2Proprietorshiptrue
- 3Companyfalse
- 4Investmentfalse
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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 05b5cc63de4d2b4197774baca
5b5cc63de4d2b4197774baca- 1Capitalist economiestrue
- 2Socialist economiesfalse
- 3Gift economiesfalse
- 4Planned economiesfalse
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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 05b5cc6c7e4d2b4197774de9b
5b5cc6c7e4d2b4197774de9b- 18 : 62.5true
- 255 : 8false
- 38 : 65false
- 464.4 : 9false
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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 05b5cc688e4d2b4197774c346
5b5cc688e4d2b4197774c346- 1Chief Executivetrue
- 2Attorney Generalfalse
- 3Secretary of the Statefalse
- 4Vice Pesidentfalse
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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 05b5cc6c3e4d2b4197774dc22
5b5cc6c3e4d2b4197774dc22- 119false
- 233false
- 327false
- 440true
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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 05b5cc6cee4d2b4197774e20d
5b5cc6cee4d2b4197774e20d- 1Sameer Gardetrue
- 2Ravi Prakashfalse
- 3Vyas Gargfalse
- 4Ravi Mittalfalse
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Answer : 1. "Sameer Garde"
Explanation :
Answer: A) Sameer Garde Explanation:
Q: Who is the first richest person in India? 1471 05b5cc69ae4d2b4197774c787
5b5cc69ae4d2b4197774c787- 1Mukesh Ambanitrue
- 2Azim Premjifalse
- 3Dilip Shangvifalse
- 4Lakshmi Mittalfalse
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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.

