GATE Practice Question and Answer

Q: Find the number of factors of 9321 ? 3519 0

  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: 9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie., (1+1) x (1+1) x (1+1)= 8 ; we get eight factors.

Q: In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ? 3512 0

  • 1
    910
    Correct
    Wrong
  • 2
    1000
    Correct
    Wrong
  • 3
    970
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 4. "None of the above"
Explanation :

Answer: D) None of the above Explanation: 504/M = 384/800 (504 x 800) / 384 = M M = 1050

Q: Sound waves cannot travel in 3509 0

  • 1
    Vacuum
    Correct
    Wrong
  • 2
    Water
    Correct
    Wrong
  • 3
    Glass
    Correct
    Wrong
  • 4
    Hydrogen gas
    Correct
    Wrong
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Answer : 1. "Vacuum"
Explanation :

Answer: A) Vacuum Explanation: A Sound wave needs a medium for propogation. Hence, Sound cannot travel through a vacuum. A vacuum is an area without any air, like space. So sound cannot travel through space because there is no matter for the vibrations to work in.

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Answer : 3. "Both A & B gives result"
Explanation :

Answer: C) Both A & B gives result Explanation: a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250. From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250. ∴ P's share = Rs.(8250 x 5/11) = Rs. 3750. Thus, (either C is redundant) or (a and b are redundant).

Q: A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ? 3493 0

  • 1
    Rs. 1800
    Correct
    Wrong
  • 2
    Rs. 2000
    Correct
    Wrong
  • 3
    Rs. 1400
    Correct
    Wrong
  • 4
    Rs. 1250
    Correct
    Wrong
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Answer : 4. "Rs. 1250"
Explanation :

Answer: D) Rs. 1250 Explanation: 2500 in 5th year and 3000 in 7th year So in between 2 years Rs. 500 is increased => for a year 500/2 = 250So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250Hence, the initial amount must be 2500 - 1250 = Rs. 1250

Q: Blotting paper absorbs ink due to 3492 0

  • 1
    Capillary action phenomenon
    Correct
    Wrong
  • 2
    Diffusion of ink through the blotting
    Correct
    Wrong
  • 3
    Siphon action
    Correct
    Wrong
  • 4
    Viscosity of ink
    Correct
    Wrong
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Answer : 1. "Capillary action phenomenon"
Explanation :

Answer: A) Capillary action phenomenon Explanation: Blotting paper absorbs ink by the process of capillary action. The capillary action is based on the property of surface tension of liquid.   All unsized paper will absorb water. Blotting paper is not sized and made bulkier to provide capillary action for faster absorption of liquid.   Blotting paper has also been sold as a cosmetic to aid in the removal of skin oils and makeup.

Q: A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture? 3484 0

  • 1
    71.02%
    Correct
    Wrong
  • 2
    76.92%
    Correct
    Wrong
  • 3
    63.22%
    Correct
    Wrong
  • 4
    86.42%
    Correct
    Wrong
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Answer : 2. "76.92%"
Explanation :

Answer: B) 76.92% Explanation: Let the milk he bought is 1000 ml Let C.P of 1000 ml is Rs. 100 Here let he is mixing K ml of water He is getting 30% profit => Now, the selling price is also Rs. 100 for 1000 ml => 100 : K% = 100 : 30 10 : 3 is ratio of milk to water => Percentage of milk = 10 x 100/13 = 1000/13 = 76.92%

Q: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes  ? 3477 0

  • 1
    21 min
    Correct
    Wrong
  • 2
    24 min
    Correct
    Wrong
  • 3
    20 min
    Correct
    Wrong
  • 4
    22 min
    Correct
    Wrong
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Answer : 1. "21 min"
Explanation :

Answer: A) 21 min Explanation: Let the pipe B be closed after 'K' minutes. 30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16 => K = 14/16 x 24 = 21 min.

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