GATE Practice Question and Answer

Q: Which of the following is not a transverse wave? 1818 0

  • 1
    Light waves
    Correct
    Wrong
  • 2
    Radio waves
    Correct
    Wrong
  • 3
    Sound waves
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 3. "Sound waves"
Explanation :

Answer: C) Sound waves Explanation: Light and Radio waves are both different frequency/wavelengths of electromagnetic radiation, which consists of two components electric and magnetic of perpendicular, transverse waves.    Sound, on the other hand, is a longitudinal wave which oscillates parallel to it's medium (back and forth instead of up and down).

Q: Which liquid is the most viscous? 1815 0

  • 1
    Water
    Correct
    Wrong
  • 2
    Diesel
    Correct
    Wrong
  • 3
    Milk
    Correct
    Wrong
  • 4
    Oil
    Correct
    Wrong
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Answer : 4. "Oil"
Explanation :

Answer: D) Oil Explanation: Here Oil is the most viscous liquid. The liquid with the most intermolecular force is high viscous. viscosity is how smoothly a liquid flows and how hardly the liquid flows it is highly viscous.

Q: The calendar for the year 1988 is same as which upcoming year ? 1814 0

  • 1
    2012
    Correct
    Wrong
  • 2
    2014
    Correct
    Wrong
  • 3
    2016
    Correct
    Wrong
  • 4
    2010
    Correct
    Wrong
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Answer : 3. "2016"
Explanation :

Answer: C) 2016 Explanation: We already know that the calendar after a leap year repeats again after 28 years. Here year 1988 is a Leap year, then the same calendar will be in the year = 1988 + 28 = 2016.

Q: If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ? 1814 0

  • 1
    17.25 %
    Correct
    Wrong
  • 2
    18.14 %
    Correct
    Wrong
  • 3
    18.33 %
    Correct
    Wrong
  • 4
    17.35 %
    Correct
    Wrong
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Answer : 3. "18.33 %"
Explanation :

Answer: C) 18.33 % Explanation: We know that I = PTR/100 11 = (2x30xR)/100 R = 18.333 %

Q: What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop? 1814 0

  • 1
    0
    Correct
    Wrong
  • 2
    gR
    Correct
    Wrong
  • 3
    2gR
    Correct
    Wrong
  • 4
    5gR
    Correct
    Wrong
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Answer : 4. "5gR"
Explanation :

Answer: D) D Explanation: To complete the vertical loop, the minimum speed required at the lowest point  = 5gR.

Q: Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years? 1811 0

  • 1
    Rs. 704
    Correct
    Wrong
  • 2
    Rs. 854
    Correct
    Wrong
  • 3
    Rs. 893
    Correct
    Wrong
  • 4
    Rs. 914
    Correct
    Wrong
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Answer : 1. "Rs. 704"
Explanation :

Answer: A) Rs. 704 Explanation: We know that, S.I. = PTR100⇒ P = S.I x 100T x RAnd also,C.I = P1 + R100n- 1 From given data, P = Rs. 8625 Now, C.I  = 86251+41002-1= 862526252-1= 8625676625-1= 8625 x 51625C.I = Rs. 703.80

Q: What is the gram formula mass of Li2SO4? 1811 0

  • 1
    101.2487
    Correct
    Wrong
  • 2
    109.9446
    Correct
    Wrong
  • 3
    111.2687
    Correct
    Wrong
  • 4
    106.5871
    Correct
    Wrong
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Answer : 2. "109.9446"
Explanation :

Answer: B) 109.9446 Explanation: The term gram formula mass is synonymous with molecular mass. So, to get this, we must add molar mass of all the elements in this compound.   Given compound is Lithium Sulphate - Li2SO4 Elemental calculation :: Li  -  Lithium   -   6.941    -     2   -   13.88200 %S  -  Sulfur     -    32.065   -    1   -   32.065 %O  -  Oxygen   -   15.9994  -    4   -   63.9976 % Now, total = 12.6264 + 29.1647 + 58.2090 = 109.9446    Hence, the gram formula mass of Li2SO4 = 109.9446.

Q: Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ? 1811 0

  • 1
    1 : 3
    Correct
    Wrong
  • 2
    2 : 1
    Correct
    Wrong
  • 3
    3 : 1
    Correct
    Wrong
  • 4
    1 : 2
    Correct
    Wrong
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Answer : 2. "2 : 1"
Explanation :

Answer: B) 2 : 1 Explanation: Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds. Let the length of train K be Lk and that of train L be Ll given that Lk = 3/4 Ll As the train K and L crosses the pole in 30 seconds and 80 seconds respectively, => Speed of train K = sk = Lk/30 Speed of train L = sl = Ll/80 Lk = 3/4 Ll => sk = 3/4 Ll/(30) = Ll/40 Ratio of their speeds = sk : sl = Ll/40 : Ll/80 => 1/40 : 1/80  =  2 : 1

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