CAT Practice Question and Answer
8Q: 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 ? 2164 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.
Q: Q's mother is sister of P and daughter of M who is brother of R. S is daughter of P and sister of T. How is M related to T ? 2163 05b5cc73de4d2b4197774f957
5b5cc73de4d2b4197774f957- 1Grand fathertrue
- 2Grand motherfalse
- 3Grand father or Grand motherfalse
- 4Can't be determinedfalse
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Answer : 1. "Grand father"
Explanation :
Answer: A) Grand father Explanation: Q's mother is sister of P and daughter of M => P is the child of M.S is daughter of P and sister of T, so P is parent of T too.M ----> parent --------> P ------------>parent -------------> TBut given M is brother of R => M is male. So, M is grandfather of T.
Q: A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ? 2163 05b5cc74ae4d2b4197774facc
5b5cc74ae4d2b4197774facc- 140 kmfalse
- 230 kmfalse
- 320 kmtrue
- 410 kmfalse
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Answer : 3. "20 km"
Explanation :
Answer: C) 20 km Explanation: Average speed = 2aba+b, here a=25 b=4 = 2 x 25 x 4/(25+4) = 200/29 km/hr. Distance covered in 5 hours 48 minutes = Speed x time = (200/29)x (29/5) Distance covered in 5 hours 48 minutes = 40kms. Distance of the post office from the village = (40/2) = 20 km.
Q: Which of the following is not an Input device? 2161 05b5cc6a6e4d2b4197774cd3d
5b5cc6a6e4d2b4197774cd3d- 1Joystickfalse
- 2Headphonestrue
- 3Mousefalse
- 4Scannerfalse
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Answer : 2. "Headphones"
Explanation :
Answer: B) Headphones Explanation: Here Joystick, Mouse and Scanner are Input devices through which data is given to the computers. But Headphones are output devices through which sound comes as an output from the computer or any devices.
Q: Three friends Rudra, Siva and Anvesh start to run around a circular stadium. They complete a revolution in 24, 36 and 30 seconds respectively. After how many minutes will they meet at the starting point ? 2159 05b5cc6c2e4d2b4197774dbb4
5b5cc6c2e4d2b4197774dbb4- 160false
- 2120false
- 3360false
- 46true
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Answer : 4. "6"
Explanation :
Answer: D) 6 Explanation: For this we have to find the LCM of 24, 36 and 30 LCM of 24, 36 and 30 = 360 sec 360/60 min = 6 minutes.
Q: 7 years ago, the ratio of the ages of Anirudh to that of Bhavana, was 7:9. Chandhu is 12 years older than Anirudh and 12 years younger than Bhavana. What is Chandhu's present age? 2158 05b5cc6bbe4d2b4197774d849
5b5cc6bbe4d2b4197774d849- 191 yearsfalse
- 2115 yearsfalse
- 3103 yearstrue
- 4Can't be determinedfalse
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Answer : 3. "103 years"
Explanation :
Answer: C) 103 years Explanation: Let present Anirudh's age be 'A' and Bhavana's age be 'B' Given seven years, their ratio is 7:9 => A-7 : B-7 = 7 : 9 => 9A - 7B = 14 .......(1) And given, Chandhu is 12 years older than A nad 12 years younger than B => C = A + 12....(2) => B = C + 12 => B = A + 12 + 12 .....(From (2)) => B = A + 24 ....(3) Put (3) in (1) 9A - 7(A+24) = 14 9A - 7A - 168 = 14 2A = 182 => A = 91 years => C = A + 12 = 91 +12 = 103 years.
Q: The book " The Vijay Mallya Story " has been written by _____ 2158 05b5cc6cae4d2b4197774e04f
5b5cc6cae4d2b4197774e04f- 1Vijay Mallyafalse
- 2Gopinathfalse
- 3Giriprakashtrue
- 4Siddharth Mallyafalse
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Answer : 3. "Giriprakash"
Explanation :
Answer: C) Giriprakash Explanation:
Q: What is the product of a number and its reciprocal? 2158 05b5cc670e4d2b4197774c002
5b5cc670e4d2b4197774c002- 10false
- 21true
- 3-ve of the numberfalse
- 4the number itselffalse
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Answer : 2. "1"
Explanation :
Answer: B) 1 Explanation: The product of a number and its reciprocal is always equals to 1. For Example : Let the number be 4. Now, its reciprocal is 1/4 Hence, required product = 4 x 1/4 = 1. Now, take the number as -15. Then its reciprocal is -1/15 Required product = -15 x -1/15 = 1. Hence, the product of a number and its reciprocal is 1.