CAT Practice Question and Answer
8Q: Find out the wrong number in the following series: 5, 15, 30, 80, 180, 540, 1080 4818 05b5cc70ee4d2b4197774f376
5b5cc70ee4d2b4197774f376- 1540false
- 2180false
- 330false
- 480true
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Answer : 4. "80"
Explanation :
Answer: D) 80 Explanation: There should be 90 instead of 80so we can have a series5, 5x3, 15x2, 30x3, 90x2, 180x3, 540x2 and 1080x3 and so on...
Q: Four persons can cross a bridge in 3,7,13,17 minutes.Only two can cross at a time.Find the minimum time taken by the four to cross the bridge ? 4976 05b5cc70ee4d2b4197774f36f
5b5cc70ee4d2b4197774f36f- 117 minutesfalse
- 220 minutestrue
- 334 minutesfalse
- 412 minutesfalse
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Answer : 2. "20 minutes"
Explanation :
Answer: B) 20 minutes Explanation: First send 17 and 7. After 7 minutes, 7 is at finish and 17 needs 10 more minutes to complete his travel. now send 13. After 10 minutes 17 reaches finish and 13 needs 3 more minutes to complete. now send 3. both 3 and 13 reach destination at the same time after 3 minutes. hence the time taken is 7+10+3=20 minutes.
Q: Some children goto ice-cream shop. 9 flavours are available there. Each child takes a cone with two different flavours. No two children take same combination and they have taken all such possible combinations. How many children went to ice cream shop ? 1517 05b5cc70ee4d2b4197774f36a
5b5cc70ee4d2b4197774f36a- 128false
- 256false
- 344false
- 436true
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Answer : 4. "36"
Explanation :
Answer: D) 36 Explanation: Given there are 9 flavours of ice creams. Each child takes the combination of two flavours and no two children will have the same combination This can be done by ways i.e children. Number of children=C29 = 9 x 8 / 1x 2 = 36.
Q: Forbes' 2017 named ______ world's richest man ? 1217 05b5cc70ee4d2b4197774f365
5b5cc70ee4d2b4197774f365- 1Bill Gatestrue
- 2Ratan Tatafalse
- 3Mukesh Ambanifalse
- 4Donald Trumpfalse
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Answer : 1. "Bill Gates"
Explanation :
Answer: A) Bill Gates Explanation:
Q: Name the cricketer who has become the first Indian to face 500-plus balls in an Test match innings ? 1787 05b5cc70ee4d2b4197774f35b
5b5cc70ee4d2b4197774f35b- 1Virat Kohlifalse
- 2Cheteshwar Pujaratrue
- 3Karun Nairfalse
- 4Murli Vijayfalse
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Answer : 2. "Cheteshwar Pujara"
Explanation :
Answer: B) Cheteshwar Pujara Explanation: India's most consistent middle-order batsman Cheteshwar Pujara stormed his way into record books after playing a marathon innings against Australia on fourth day of the third Test match surpassing Rahul Dravid previous best of 495 balls.
Q: What was the theme of 'International Day of Forests 2017' that was observed on 21st March ? 1234 05b5cc70ee4d2b4197774f356
5b5cc70ee4d2b4197774f356- 1Our Trees Our Forestsfalse
- 2Save Trees Save Forestsfalse
- 3Trees and Forestsfalse
- 4Forests and energytrue
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Answer : 4. "Forests and energy"
Explanation :
Answer: D) Forests and energy Explanation:
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 ? 1338 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,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ? 2069 05b5cc70ee4d2b4197774f34c
5b5cc70ee4d2b4197774f34c- 125true
- 224false
- 323false
- 421false
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Answer : 1. "25"
Explanation :
Answer: A) 25 Explanation: (A+B+C) do 1 work in 10 days. So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5 Remaining work=1-2/5=3/5 (B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50 Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25 A does 1/25 work in in 1 day Therefore 1 work in 25 days.

