GATE Practice Question and Answer

Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? 1134 0

  • 1
    6/19
    Correct
    Wrong
  • 2
    3/10
    Correct
    Wrong
  • 3
    7/10
    Correct
    Wrong
  • 4
    6/17
    Correct
    Wrong
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Answer : 2. "3/10"
Explanation :

Answer: B) 3/10 Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20Let E = event of getting a multiple of 4 or 15 =multiples od 4 are {4, 8, 12, 16, 20}And multiples of 15 means multiples of 3 and 5= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.= the common multiple is only (15).=> E = n(E)= 6Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.

Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ? 1131 0

  • 1
    8.7 hrs
    Correct
    Wrong
  • 2
    5.2 hrs
    Correct
    Wrong
  • 3
    5 hrs
    Correct
    Wrong
  • 4
    7.5 hrs
    Correct
    Wrong
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Answer : 4. "7.5 hrs"
Explanation :

Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs

Q: A man has only 20-paise and 25-paise coins in a bag. If he has 50 coins in all totaling to Rs.10.25, then the number of 20-paise coins is 1131 0

  • 1
    42
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    36
    Correct
    Wrong
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Answer : 2. "45"
Explanation :

Answer: B) 45 Explanation: Let number of 20 ps coins = x and number of 25 ps coins = y Given total coins in the bag = 50 x + y = 50.......(1) But the total money in the bag = Rs. 10.25 0.20x + 0.25y = 10.25 20x + 25y = 1025.........(2) Now multiplying (1) by 25 we get 25x+25y=1250.............(3) By solving (2) and (3) 20x + 25y = 1025; => x = 45; Then, the no. of 20 ps coins are 45.

Q: Which results from an increase in the greenhouse effect? 1123 0

  • 1
    Ocean acidification
    Correct
    Wrong
  • 2
    Smog pollution
    Correct
    Wrong
  • 3
    Ozone depletion
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: A greenhouse gas (GHG) is any gas in the atmosphere that absorbs and emits radiation in the thermal infrared range.   The increase in average global temperatures that results from an enhanced greenhouse effect. Effects of increased greenhouse gas emissions: Increases in the different greenhouse gases have other effects apart from global warming including ocean acidification, smog pollution, ozone depletion as well as changes to plant growth and nutrition levels.

Q: Multiplicative inverse of 7? 1122 0

  • 1
    1
    Correct
    Wrong
  • 2
    -1/7
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1/7
    Correct
    Wrong
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Answer : 4. "1/7"
Explanation :

Answer: D) 1/7 Explanation: Multiplicative inverse is nothing but a reciprocal of a number.  It is defined as one of a pair of numbers that when multiplied with another number equals the number 1. Multiplicative inverse or reciprocal of 7 is  7 x n = 1 => n = 1/7.   Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

Q: Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ? 1122 0

  • 1
    1020
    Correct
    Wrong
  • 2
    1040
    Correct
    Wrong
  • 3
    1060
    Correct
    Wrong
  • 4
    1022
    Correct
    Wrong
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Answer : 4. "1022"
Explanation :

Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.

Q: A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by 1118 0

  • 1
    54 kms
    Correct
    Wrong
  • 2
    32 kms
    Correct
    Wrong
  • 3
    45 kms
    Correct
    Wrong
  • 4
    60 kms
    Correct
    Wrong
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Answer : 4. "60 kms"
Explanation :

Answer: D) 60 kms Explanation: Let the distance be d.  d8-2-d8+2 = 4   => 2d = 120    => d = 60 kms.

Q: There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number? 1118 0

  • 1
    121
    Correct
    Wrong
  • 2
    943
    Correct
    Wrong
  • 3
    462
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "462"
Explanation :

Answer: C) 462 Explanation: Assume that the number is taken as XYZ.Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9Condition 2 => Y = X + ZX Y Z1 2 14 6 29 12 3 => (wrong because it is 4 digit.) and 121 is not divisible by 2 The answer is 462.

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