GATE Practice Question and Answer

Q: The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased  ? 1640 0

  • 1
    90%
    Correct
    Wrong
  • 2
    88%
    Correct
    Wrong
  • 3
    85%
    Correct
    Wrong
  • 4
    84%
    Correct
    Wrong
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Answer : 1. "90%"
Explanation :

Answer: A) 90% Explanation: Let length, breadth and height of the room be 7, 3, 1 unit respectively. Area of walls = 2(l+b)xh = 2(7+3)x1 = 20 sq. unit. Now, length, breadth and height of room will become 3.5, 6 and 2 respectively.  Area of walls = 2(l+b)xh = 2(3.5+6)x2 = 38 sq. unit.  % Increase in the area of walls = (38-20)x100/20 = 90%.

Q: If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ? 1640 0

  • 1
    56
    Correct
    Wrong
  • 2
    64
    Correct
    Wrong
  • 3
    87
    Correct
    Wrong
  • 4
    78
    Correct
    Wrong
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Answer : 4. "78"
Explanation :

Answer: D) 78 Explanation: Using Trial and error method, we get the number of girls in the hall = 78

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. 1640 0

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    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: A passenger train is moving at a speed of 120 km/hr. If the length of the train is 101 meters, how long will it take to cross a railway platform 154 meters long ? 1640 0

  • 1
    6.24 sec
    Correct
    Wrong
  • 2
    6.58 sec
    Correct
    Wrong
  • 3
    7.325 sec
    Correct
    Wrong
  • 4
    7.65 sec
    Correct
    Wrong
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Answer : 4. "7.65 sec"
Explanation :

Answer: D) 7.65 sec Explanation: Here total distance = 154 + 101 = 255 mtsGiven speed = 120 kmph = 120x5/18 m/secHence, Time = d/s = 255x18/120x5 = 7.65 sec

Q: If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ? 1640 0

  • 1
    3
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 4. "0"
Explanation :

Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

Q: Organisms need Nutrients in order to 1640 0

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    Breaking down food
    Correct
    Wrong
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    Utilize chemical compounds
    Correct
    Wrong
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    recycling
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 1. "Breaking down food"
Explanation :

Answer: A) Breaking down food Explanation: Nutrients are necessary for break down the food and supply energy to the organisms and to carry out essential life functions. Important nutrients are Hydrogen, Carbon and Oxygen.   Some more important nutrients for plants are : Potassium, Sulphur, Nitrogen, Phosphorous, Calcium and Magnesium.

Q: The probability that a number selected at random from the first 100 natural numbers is a composite number is  ? 1640 0

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    3/2
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    34/7
    Correct
    Wrong
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Answer : 1. "3/2"
Explanation :

Answer: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.

Q: In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ? 1639 0

  • 1
    Rs. 34,410
    Correct
    Wrong
  • 2
    Rs. 31,184
    Correct
    Wrong
  • 3
    Rs. 29,999
    Correct
    Wrong
  • 4
    Rs. 32,292
    Correct
    Wrong
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Answer : 4. "Rs. 32,292"
Explanation :

Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.

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