GATE Practice Question and Answer

Q: 1 Billion Seconds Equals to 1734 0

  • 1
    34.76 years
    Correct
    Wrong
  • 2
    32.48 years
    Correct
    Wrong
  • 3
    33.31 years
    Correct
    Wrong
  • 4
    31.68 years
    Correct
    Wrong
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Answer : 4. "31.68 years"
Explanation :

Answer: D) 31.68 years Explanation: We know that 1 year = 365.25 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds   => 1 Year = 365.25 x 24 x 60 x 60 Seconds But 1 billion seconds = ? 1 Year = 365.25 x 24 x 60 x 60 Seconds     ?     =  1000000000 Seconds   ? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.

Q: Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ? 1733 0

  • 1
    15.84
    Correct
    Wrong
  • 2
    14.92
    Correct
    Wrong
  • 3
    13.98
    Correct
    Wrong
  • 4
    16.38
    Correct
    Wrong
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Answer : 4. "16.38"
Explanation :

Answer: D) 16.38 Explanation: Given, Manideep purchases 30kg of barley at the rate of 11.50/kg nad 20kg at the rate of 14.25/kg. Total cost of the mixture of barley = (30 x 11.50) + (20 x 14.25) => Total cost of the mixture = Rs. 630 Total kgs of the mixture = 30 + 20 = 50kg Cost of mixture/kg = 630/50 = 12.6/kg To make 30% of profit => Selling price for manideep = 12.6 + 30% x 12.6 => Selling price for manideep = 12.6 + 3.78 = 16.38/kg.

Q: I will disappear every time you say my name. What am I? 1733 0

  • 1
    Thief
    Correct
    Wrong
  • 2
    Silence
    Correct
    Wrong
  • 3
    Shadow
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "Silence"
Explanation :

Answer: B) Silence Explanation:

Q: Antonym of the given word abet 1733 0

  • 1
    Risk
    Correct
    Wrong
  • 2
    Pacify
    Correct
    Wrong
  • 3
    Aid
    Correct
    Wrong
  • 4
    Prevent
    Correct
    Wrong
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Answer : 4. "Prevent"
Explanation :

Answer: D) Prevent Explanation:

Q: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 1732 0

  • 1
    (1/2)^11
    Correct
    Wrong
  • 2
    (9)(1/2)
    Correct
    Wrong
  • 3
    (11C2)(1/2)^9
    Correct
    Wrong
  • 4
    (1/2)
    Correct
    Wrong
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Answer : 1. "(1/2)^11"
Explanation :

Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event,  P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½,  ⇒ Probability of not getting head in one coin = 1- ½ = ½,  Hence,  All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211

Q: A teacher multiplies 987 by a certain number and obtains 556781 as her answer. If in the answer, both 6 and 7 are wrong but the other digits are correct, then the correct answer will be 1732 0

  • 1
    553681
    Correct
    Wrong
  • 2
    555181
    Correct
    Wrong
  • 3
    556581
    Correct
    Wrong
  • 4
    555681
    Correct
    Wrong
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Answer : 4. "555681"
Explanation :

Answer: D) 555681 Explanation: Given number is 987 = 3 x 7 x 47. So, required number must be divisible by each one of 3, 7, 47. None of the numbers in 553681 and 555181 are divisible by 3. While 556581 is not divisible by 7.Correct answer is 555681.

Q: Which of the following atoms has the largest radius? 1732 0

  • 1
    Br
    Correct
    Wrong
  • 2
    K
    Correct
    Wrong
  • 3
    Na
    Correct
    Wrong
  • 4
    Cl
    Correct
    Wrong
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Answer : 2. "K"
Explanation :

Answer: B) K Explanation: For neutral atoms, the periodic trends in atomic size can be described like this Atomic size decreases when going from left to right across a period,Atomic size increases when going from top to bottom down a group.   Let's use these trends to try and figure out which atom would have the largest radius. If you look at elements that are located in the same group, potassium will have a larger atomic radius when compared with sodium. Likewise, bromine will have a larger atomic radius when compared with chlorine. Now focus on potassium and bromine. Since potassium is located at the start of period 3, and bromine at the end of the same period, potassium will have a larger atomic radius than bromine, and thus the largest atomic radius of the four given atoms.

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Answer :
Explanation :

Here If you notice the difference, There is no question mark (?) at the end of the puzzle. In that case, "What" is the name of the 5th child.

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