GATE Practice Question and Answer

Q: Agha khan cup is associated with 1845 0

  • 1
    Football
    Correct
    Wrong
  • 2
    Tennis
    Correct
    Wrong
  • 3
    Cricket
    Correct
    Wrong
  • 4
    Hockey
    Correct
    Wrong
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Answer : 4. "Hockey"
Explanation :

Answer: D) Hockey Explanation:

Q: Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ? 1845 0

  • 1
    B) = 0.6. Are these two events are disjoint ? A)
    Correct
    Wrong
  • 2
    = 0.6. Are these two events are disjoint ? A) TRUE B) FALSE Answer & Explanation Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(
    Correct
    Wrong
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Answer : 2. "= 0.6. Are these two events are disjoint ? A) TRUE B) FALSE Answer & Explanation Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P("
Explanation :

Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(A) + P(B) - P(AꓵB). An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4 And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

Q: Multiplicative inverse of 0 1845 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    infinity
    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: In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).   Hence, 0 doesn't have any multiplicative inverse.

Q: which of the following statements are correct 1845 0

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    Sir Richard Arkwright - Father of industrial revolution
    Correct
    Wrong
  • 2
    Michael Faraday - Discovered Benzene and invented Bunsen Burner
    Correct
    Wrong
  • 3
    Thomas Alva Edison - phonograph and motion picture camera
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: Inventors and their Inventions ::   Sir Richard Arkwright - Father of industrial revolution.   Michael Faraday - Discovered Benzene and invented Bunsen Burner.   Thomas Alva Edison - Invented Phonograph and motion picture camera.

Q: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal ? 1843 0

  • 1
    40
    Correct
    Wrong
  • 2
    30
    Correct
    Wrong
  • 3
    50
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 2. "30"
Explanation :

Answer: B) 30 Explanation: Here given 120 men = 200 children therefore 1 child = 3/5 of Man------ step I Now given that the food was consumed by 150 children From step I we get 150 children =90 Men ( 1 child = 3/5 Man ie , 150 X 3/5 = 90)So the food is for (120-90) men = 30 Men

Q: What Room can Nobody Enter? 1843 0

  • 1
    War room
    Correct
    Wrong
  • 2
    Spare room
    Correct
    Wrong
  • 3
    Escape room
    Correct
    Wrong
  • 4
    Mushroom
    Correct
    Wrong
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Answer : 4. "Mushroom"
Explanation :

Answer: D) Mushroom Explanation: The Room can Nobody Enter is a Mushroom.

Q: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1843 1

  • 1
    3924
    Correct
    Wrong
  • 2
    1962
    Correct
    Wrong
  • 3
    1684
    Correct
    Wrong
  • 4
    1452
    Correct
    Wrong
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Answer : 2. "1962"
Explanation :

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Q: Water is an excellent solvent because 1842 0

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Answer :
Explanation :

Water is capable of dissolving a variety of different substances, which is why it is such a good solvent. And, water is called the "universal solvent" because it dissolves more substances than any other liquid It means that wherever water goes, either through the ground or through our bodies, it takes along valuable chemicals, minerals, and nutrients

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