GATE Practice Question and Answer

Q: There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ? 1817 0

  • 1
    23
    Correct
    Wrong
  • 2
    432
    Correct
    Wrong
  • 3
    22
    Correct
    Wrong
  • 4
    431
    Correct
    Wrong
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Answer : 1. "23"
Explanation :

Answer: A) 23 Explanation: As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.   C19+C18+C16 = 23 will be answer.

Q: What is the reciprocal of a negative number? 1817 0

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Answer :
Explanation :

The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1.    All real numbers except 0 have reciprocals.

Q: Which of the Phrases (1), (2), (3) and (4) given below should replace the phrases printed in bold in the sentence to make it grammatically correct.    They claim that their employees are highly committing and disciplined. 1816 0

  • 1
    Have been highly committed
    Correct
    Wrong
  • 2
    Have high commitments
    Correct
    Wrong
  • 3
    Are highly committed
    Correct
    Wrong
  • 4
    No correction required
    Correct
    Wrong
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Answer : 3. "Are highly committed"
Explanation :

Answer: C) Are highly committed Explanation: As per the rule of adverb, the adverb is followed by the third form of verb.

Q: Food : Stomach : : Fuel : ? 1816 0

  • 1
    truck
    Correct
    Wrong
  • 2
    Plane
    Correct
    Wrong
  • 3
    Engine
    Correct
    Wrong
  • 4
    Automobile
    Correct
    Wrong
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Answer : 3. "Engine"
Explanation :

Answer: C) Engine Explanation: Food is processed by the stomach to provide energy for the functioning of the body.Similarly, fuel is processed by the engine to provide energy for the functioning of automobile.

Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ? 1815 0

  • 1
    14/33
    Correct
    Wrong
  • 2
    14/55
    Correct
    Wrong
  • 3
    12/55
    Correct
    Wrong
  • 4
    13/33
    Correct
    Wrong
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Answer : 1. "14/33"
Explanation :

Answer: A) 14/33 Explanation: Total number of chairs = (3 + 5 + 4) = 12. Let S be the sample space. Then, n(s)= Number of ways of picking 2 chairs out of 12 = 12×11/2×1 = 66 Let n(E) = number of events of selecting 2 chairs for selecting no white chairs. => 8C2 = 8×7/2×1 = 28 Therefore required probability = 28/66 = 14/33.

Q: Math Logic Challenge 1815 0

  • 1
    23
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    13
    Correct
    Wrong
  • 4
    29
    Correct
    Wrong
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Answer : 2. "26"
Explanation :

Answer: B) 26 Explanation: Let the integer be x. Then,  x2-20x = 156   (x + 6)(x - 26) = 0   x = 26   The integer is 26.

Q: An amount doubles itself in 15 years. what is the rate of interest ? 1815 0

  • 1
    7.85 %
    Correct
    Wrong
  • 2
    9.41%
    Correct
    Wrong
  • 3
    6.66 %
    Correct
    Wrong
  • 4
    4.21 %
    Correct
    Wrong
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Answer : 3. "6.66 %"
Explanation :

Answer: C) 6.66 % Explanation: Let the principle be Rs. PAs the amount double itself the interest is Rs. P tooSo P = P x r x 15/100=> r = 100/15 = 20/3 % = 6.66 %.

Q: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ? 1815 0

  • 1
    57
    Correct
    Wrong
  • 2
    75
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    39
    Correct
    Wrong
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Answer : 4. "39"
Explanation :

Answer: D) 39 Explanation: Let the two-digit number be 10a + ba + b = 12 --- (1)If a>b, a - b = 6If b>a, b - a = 6If a - b = 6, adding it to equation (1), we get2a = 18 => a =9so b = 12 - a = 3Number would be 93.if b - a = 6, adding it to the equation (1), we get2b = 18 => b = 9a = 12 - b = 3.Number would be 39.There fore, Number would be 39 or 93.

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