GATE Practice Question and Answer

Q: A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ? 1611 0

  • 1
    105
    Correct
    Wrong
  • 2
    101
    Correct
    Wrong
  • 3
    98
    Correct
    Wrong
  • 4
    109
    Correct
    Wrong
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Answer : 1. "105"
Explanation :

Answer: A) 105 Explanation: Let number of pages in a book = p According to questions p - [3p/7 + (2/5 x 4p/7)] = 36 = p - 23p/35 = 36 => 12p = 36 × 35 p = 105

Q: If 35% of a number is 24 less than 50% of that number, then the number is ? 1611 0

  • 1
    80
    Correct
    Wrong
  • 2
    160
    Correct
    Wrong
  • 3
    100
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "160"
Explanation :

Answer: B) 160 Explanation: Let the number be n. Then, 50% of n - 35% of n = 24 50/100 n - 35/100 n = 24 n = (24 x 100)/15 = 160.

Q: When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ? 1610 0

  • 1
    188 million
    Correct
    Wrong
  • 2
    166 2/3 million
    Correct
    Wrong
  • 3
    192 3/4 million
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "166 2/3 million"
Explanation :

Answer: B) 166 2/3 million Explanation: 5% - 2% = 3%=> 3% ------ 5 million bags 100% ---- ? => 166 2/3 million bags.

Q: The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ? 1610 1

  • 1
    Rs. 1100
    Correct
    Wrong
  • 2
    Rs. 5500
    Correct
    Wrong
  • 3
    Rs. 1400
    Correct
    Wrong
  • 4
    Rs. 4120
    Correct
    Wrong
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Answer : 1. "Rs. 1100"
Explanation :

Answer: A) Rs. 1100 Explanation: Let the sum be Rs.x. Then,     x1+101002-x=1155   ⇒x11102-1=1155   => x =5500   sum = Rs. 5500.   So, S.I = Rs. 5500×5×4100 = 1100

Q: Which is the oldest tennis tournament in the world and also prestigious? 1609 0

  • 1
    Wimbledon
    Correct
    Wrong
  • 2
    US Open
    Correct
    Wrong
  • 3
    French Open
    Correct
    Wrong
  • 4
    Australian Open
    Correct
    Wrong
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Answer : 1. "Wimbledon"
Explanation :

Answer: A) Wimbledon Explanation: Wimbledon Tournament in the city London, is the prestigious and the oldest tournament in the world.

Q: In 1990 a person is 15 years old. In 2000 that same person is 5 years old. How can this be possible? 1609 0

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Answer :
Explanation :

It can be possible in only B.C. i.e, Before Christ. That was about 2000 years ago. Given In 1990 B.C = 2000 + 1990 = 3990 years ago, a person is 15 years Old => In 1995 B.C = 2000 + 1995 = 3995 years ago, the same person will be 10 years Old Therefore, In 2000 B.C = 2000 + 2000 = 4000 years ago, the same person will be 5 years Old.

Q: What causes brownian motion in colloids? 1607 0

  • 1
    coagulation of particles and the dispersed phase
    Correct
    Wrong
  • 2
    erratic flashes of light
    Correct
    Wrong
  • 3
    molecules of the dispersion medium colliding with dispersed phase particles
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 3. "molecules of the dispersion medium colliding with dispersed phase particles"
Explanation :

Answer: C) molecules of the dispersion medium colliding with dispersed phase particles Explanation: When their is a colloid in the solution, then it will show the Brownian movement, such as dust particle in the air will show the Brownian movement.   Hence, Brownian movement arises due to the impact of the molecules of the dispersion medium with the colloidal particles. It has been postulated that the impact of the molecules of dispersion medium on the colloidal particles are unequal.   This leads to the zig-zag (random) motion of the colloidal particles.

Q: Question : What is the sum which earned interest ? Statements : a. The total simple interest was Rs. 9000 after 9 years.b. The total of sum and simple interest was double of the sum after 6 years. 1607 0

  • 1
    Only a is sufficient
    Correct
    Wrong
  • 2
    Neither a nor b is sufficient
    Correct
    Wrong
  • 3
    Only b is sufficient
    Correct
    Wrong
  • 4
    Both a and b sufficient
    Correct
    Wrong
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Answer : 4. "Both a and b sufficient"
Explanation :

Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.

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