GATE Practice Question and Answer

Q: The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 2686 0

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    444
    Correct
    Wrong
  • 2
    344
    Correct
    Wrong
  • 3
    244
    Correct
    Wrong
  • 4
    144
    Correct
    Wrong
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Answer : 4. "144"
Explanation :

Answer: D) 144 Explanation: Given ratio of pens and pencils = 3 :2 Number of Pens = 3x Number of Pencils = 2x Average number of pencils & Pens = 3x + 2x2 = 180 5x = 360 => x = 72 Hence, the number of pencils = 2x = 72 x 2 = 144.

Q: A number increased by 30% gives 390. The number is 2679 0

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    180
    Correct
    Wrong
  • 2
    300
    Correct
    Wrong
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    480
    Correct
    Wrong
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    260
    Correct
    Wrong
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Answer : 2. "300"
Explanation :

Answer: B) 300 Explanation: Let the number be 'N'Given N + 30N/100 = 390=> 130N/100 = 390=> N = 390 x 10/13=> N = 300.

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Answer : 3. "36"
Explanation :

Answer: C) 36 Explanation: Given 4men, 12 women and 20 children work for  2 days. Workdone for 2 days by 4men, 12 women and 20 children = 4 x 26 x 12 + 12 x 28 x 18 + 20 x 218 x 10 = 12 Therefore, remaining work = 1 - 12 = 12 To complete the same work by only men in 1 day, We know that M1 x D1 = M2 x D2 Here M1 = 6 , D1 = 12 and M2 = M , D2 = 1 12 x 6 = M x 1 => M = 12 x 6 = 72 => But the remaining work = 1/2 Men required => 1/2 x 72 = 36 Only men required to Complete the remaining work in 1 day = 36.

Q: In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture? 2677 0

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    1:1
    Correct
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    2:1
    Correct
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    3:1
    Correct
    Wrong
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    1:2
    Correct
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Answer : 1. "1:1"
Explanation :

Answer: A) 1:1 Explanation: Quantity of alohol in the mixture = 40 x 5/8 = 25 lit Quantity of water = 40 - 25 = 15 lit According to question, Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1

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Answer : 2. "2014"
Explanation :

Answer: B) 2014 Explanation: If After p years , commodity X will cost 60 rupees more than the commodity Y, then 320 + 60p = 740 + 20p + 60=> p = 12 So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

Q: Where are saved files stored in computer ? 2674 0

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    Hard disk
    Correct
    Wrong
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    Cache
    Correct
    Wrong
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    RAM
    Correct
    Wrong
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    Any of above
    Correct
    Wrong
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Answer : 1. "Hard disk"
Explanation :

Answer: A) Hard disk Explanation: Most operating systems store files on a hard disk.

Q: A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: 2666 0

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    25%
    Correct
    Wrong
  • 2
    21.14%
    Correct
    Wrong
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    22.54%
    Correct
    Wrong
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    27.32%
    Correct
    Wrong
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Answer : 3. "22.54%"
Explanation :

Answer: C) 22.54% Explanation: C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.   S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500. Profit = 1500 - 1224 = Rs.276    Profit % = ProfitC.P×100  = 2761224×100 = 22.54%.

Q: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2666 0

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    39 days
    Correct
    Wrong
  • 2
    37 days
    Correct
    Wrong
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    35 days
    Correct
    Wrong
  • 4
    33 days
    Correct
    Wrong
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Answer : 3. "35 days"
Explanation :

Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.

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