GATE Practice Question and Answer

Q: Which of the following is a compound sentence? 2090 0

  • 1
    We can go see a movie, or we can get something to eat.
    Correct
    Wrong
  • 2
    When you get there, please remember to call me.
    Correct
    Wrong
  • 3
    Mohan bought some new shoes and wore them to a party.
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "We can go see a movie, or we can get something to eat."
Explanation :

Answer: A) We can go see a movie, or we can get something to eat. Explanation: A compound sentence is a sentence that has at least two independent clauses joined by a comma, semicolon or conjunction. An independent clause is a clause that has a subject and verb and forms a complete thought. Here except option A) other two options dependent.   Hence, A) We can go see a movie, or we can get something to eat is a compound sentence.

Q: A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ? 2089 0

  • 1
    0.85 %
    Correct
    Wrong
  • 2
    0.95 %
    Correct
    Wrong
  • 3
    1.0 %
    Correct
    Wrong
  • 4
    1.3 %
    Correct
    Wrong
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Answer : 2. "0.95 %"
Explanation :

Answer: B) 0.95 % Explanation: SP of first article = 1000Profit = 30%CP = (SP)x[100/(100+P)] = 10000/13 SP of second article = 1000Loss = 20%CP = (SP)x[100/(100-L)] = 5000/4 = 1250 Total SP = 2000 Total CP = 10000/13 + 1250 = 2019.23 CP is more than SP, he makes a loss. Loss = CP-SP = 2019.23 - 2000 = 19.23Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.

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 ? 2089 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
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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: Which is the largest coal producing country in the World? 2086 0

  • 1
    India
    Correct
    Wrong
  • 2
    China
    Correct
    Wrong
  • 3
    Russia
    Correct
    Wrong
  • 4
    New-zealand
    Correct
    Wrong
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Answer : 2. "China"
Explanation :

Answer: B) China Explanation: China has been by far the biggest coal producing country over the last three decades. The country produced about 3.6 billion tonnes (Bt) of coal in 2012 accounting for over 47% of the world's total coal output.

Q: P can do a piece of work in 5 less days than Q. If both of them can do the same work in 1119days, in how many days will Q alone do the same work  ? 2085 0

  • 1
    24 days
    Correct
    Wrong
  • 2
    25 days
    Correct
    Wrong
  • 3
    20 days
    Correct
    Wrong
  • 4
    19 days
    Correct
    Wrong
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Answer : 2. "25 days"
Explanation :

Answer: B) 25 days Explanation: Let Q complete that work in 'L' days   => 1L + 1L-5 = 9100   => 9L2-245L+500=0   L = 25 days.

Q: In how many different ways can the letters of the word 'ABYSMAL' be arranged ? 2084 0

  • 1
    5040
    Correct
    Wrong
  • 2
    3650
    Correct
    Wrong
  • 3
    4150
    Correct
    Wrong
  • 4
    2520
    Correct
    Wrong
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Answer : 4. "2520"
Explanation :

Answer: D) 2520 Explanation: Total number of letters in the word ABYSMAL are 7   Number of ways these 7 letters can be arranged are 7! ways   But the letter is repeated and this can be arranged in 2! ways   Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.

Q: Tetraethyl lead is used as 2084 0

  • 1
    Fire extinguisher
    Correct
    Wrong
  • 2
    Gasoline additive
    Correct
    Wrong
  • 3
    Mosquito repellent
    Correct
    Wrong
  • 4
    Pain killer
    Correct
    Wrong
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Answer : 2. "Gasoline additive"
Explanation :

Answer: B) Gasoline additive Explanation: Tetraethyl lead is a highly toxic compound used as a gasoline additive. Tetraethyl lead abbreviated as TEL, is an organo lead compound with the formula (CH3CH2)4Pb. It is a petro-fuel additive which in turn caused increased vehicle performance. This is also used as an antiknock agent in gasoline and jet fuels. Tetraethyl lead is absorbed rapidly by the skin, the lungs, and the gastrointestinal tract. It is converted to triethyl lead, which might be responsible for its toxicity.

Q: A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ? 2082 0

  • 1
    52%
    Correct
    Wrong
  • 2
    64%
    Correct
    Wrong
  • 3
    84%
    Correct
    Wrong
  • 4
    77%
    Correct
    Wrong
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Answer : 3. "84%"
Explanation :

Answer: C) 84% Explanation: Let the number be 'x'   Then, according to the given data,  52x-25x52xx100   = 2125x100   = 84%

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