GATE Practice Question and Answer

Q: If selling price is doubled, the profit triples. Find the profit percent ? 2413 0

  • 1
    100%
    Correct
    Wrong
  • 2
    200%
    Correct
    Wrong
  • 3
    300%
    Correct
    Wrong
  • 4
    400%
    Correct
    Wrong
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Answer : 1. "100%"
Explanation :

Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%

Q: Which type of molecule is CF4? 2409 0

  • 1
    nonpolar, with a symmetrical distribution of charge
    Correct
    Wrong
  • 2
    polar, with an asymmetrical distribution of charge
    Correct
    Wrong
  • 3
    nonpolar, with an asymmetrical distribution of charge
    Correct
    Wrong
  • 4
    polar, with a symmetrical distribution of charge
    Correct
    Wrong
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Answer : 1. "nonpolar, with a symmetrical distribution of charge"
Explanation :

Answer: A) nonpolar, with a symmetrical distribution of charge Explanation: CF4 is tetrahedral. Since the four 'F' atoms have the same electronegativity values, there is no bias in electron distribution toward any one.   Therefore, electron/charge distribution is symmetrical, which also means that the molecule is nonpolar.   Hence, CF4 is nonpolar molecule with a symmetrical distribution of charge.

Q: A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 2404 0

  • 1
    15:07 hrs
    Correct
    Wrong
  • 2
    15:20 hrs
    Correct
    Wrong
  • 3
    15:05 hrs
    Correct
    Wrong
  • 4
    15:00 hrs
    Correct
    Wrong
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Answer : 1. "15:07 hrs"
Explanation :

Answer: A) 15:07 hrs Explanation: Next train comes at 17:00 hrs.So, last train will be = 17:00hrs - 2:30hrs= 14:30hrsAnnouncement made after 37 min of the last train.S0, 14:30hrs + 00:37 min= 15:07 hrs.

Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2403 0

  • 1
    59
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    61
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.

Q: The last two digits of 2151415? 2401 0

  • 1
    81
    Correct
    Wrong
  • 2
    61
    Correct
    Wrong
  • 3
    91
    Correct
    Wrong
  • 4
    51
    Correct
    Wrong
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Answer : 4. "51"
Explanation :

Answer: D) 51 Explanation: Unit digit of this expression is always 1 as the base ends with 1.  For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit. i.e, tenth place digit in 2151 is 5 and tenth place digit in power 415 is 1 And the units digit in the product of 5 x 1 = 5   Therefore, last two digits of 2151415 is 51.

Q: Malleability and Ductility of metals can be accounted due to 2400 0

  • 1
    the crystalline structure in metal
    Correct
    Wrong
  • 2
    the interaction of electrons with metal ions in the lattice
    Correct
    Wrong
  • 3
    the presence of electrostatic force
    Correct
    Wrong
  • 4
    the capacity of layers of metal ions to slide over the other
    Correct
    Wrong
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Answer : 4. "the capacity of layers of metal ions to slide over the other"
Explanation :

Answer: D) the capacity of layers of metal ions to slide over the other Explanation:

Q: Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes? 2388 0

  • 1
    5 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    7.5 kmph
    Correct
    Wrong
  • 4
    8 kmph
    Correct
    Wrong
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Answer : 1. "5 kmph"
Explanation :

Answer: A) 5 kmph Explanation: Let p be the speed of man in kmph According to the given data in the question, Distance travelled by bus in 10 min with 20 kmph == Distance travelled by man in 8 min with (20 + p) kmph in opposite direction => 20 x 10/60 = 8/60 (20 + p) => 200 = 160 + 8p => p = 40/8 = 5 kmph.

Q: Which of the following is not an aerosol? 2388 0

  • 1
    mud
    Correct
    Wrong
  • 2
    dust
    Correct
    Wrong
  • 3
    smoke
    Correct
    Wrong
  • 4
    fog
    Correct
    Wrong
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Answer : 1. "mud"
Explanation :

Answer: A) mud Explanation: Among the given options, mud is not an aerosol.   An aerosol is a suspension of fine solid particles or liquid droplets, in the air or another gas. Aerosols can be natural or anthropogenic. Examples of natural aerosols are fog, dust, forest exudates and geyser steam. Examples of anthropogenic aerosols are haze, particulate air pollutants, and smoke.

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