GATE Practice Question and Answer

Q: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 2472 0

  • 1
    68%
    Correct
    Wrong
  • 2
    80%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    100%
    Correct
    Wrong
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Answer : 4. "100%"
Explanation :

Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%

Q: Which component of an IED creates an electrical charge? 2462 0

  • 1
    activator
    Correct
    Wrong
  • 2
    fuse
    Correct
    Wrong
  • 3
    explosive
    Correct
    Wrong
  • 4
    power source
    Correct
    Wrong
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Answer : 4. "power source"
Explanation :

Answer: D) power source Explanation: The power source such as a Battery of an IED creates an electrical charge.   What are IED's :: An Improvised Explosive Device (IED) is a bomb constructed and deployed in ways other than in conventional military action. It may be constructed of conventional military explosives, such as an artillery shell, attached to a detonating mechanism. IEDs are commonly used as roadside bombs.

Q: The respective ratio between the speed of a bike, a van  and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together? 2452 0

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    60 kmph
    Correct
    Wrong
  • 2
    62 kmph
    Correct
    Wrong
  • 3
    64 kmph
    Correct
    Wrong
  • 4
    63 kmph
    Correct
    Wrong
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Answer : 1. "60 kmph"
Explanation :

Answer: A) 60 kmph Explanation: Speed of lorry = 36012 = 30 kmph Speed of van =250100 x 30 = 75 kmph Speed of bike = 35 x 75 = 45 kmph Therefore, now required average speed of bike and van  = 75 + 452= 60 kmph.

Q: Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9? 2451 0

  • 1
    2
    Correct
    Wrong
  • 2
    1.5
    Correct
    Wrong
  • 3
    1.25
    Correct
    Wrong
  • 4
    2.5
    Correct
    Wrong
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Answer : 2. "1.5"
Explanation :

Answer: B) 1.5 Explanation: Given Five boxes of bananas sell for Rs. 30. => 1 Box of Bananas for = 30/5 = Rs. 6   Then, for Rs. 9 => 9/6 = 3/2 = 1.5   Hence, for Rs. 9, 1.5 box of bananas can buy.

Q: Find the missing number in the given number series? 514, 470, ?, 415, 404 2451 0

  • 1
    441
    Correct
    Wrong
  • 2
    437
    Correct
    Wrong
  • 3
    426
    Correct
    Wrong
  • 4
    420
    Correct
    Wrong
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Answer : 2. "437"
Explanation :

Answer: B) 437 Explanation: Given number series is 514   470   ?   415   404       Here the pattern it follows is   514   514 - 44 = 470   470 - 33 = 437   437 - 22 = 415   415 - 11 = 404   Hence, the missing number in the given number series is 437.

Q: Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ? 2449 0

  • 1
    50 yrs
    Correct
    Wrong
  • 2
    47 yrs
    Correct
    Wrong
  • 3
    45 yrs
    Correct
    Wrong
  • 4
    42 yrs
    Correct
    Wrong
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Answer : 1. "50 yrs"
Explanation :

Answer: A) 50 yrs Explanation: Let age of retirement = Sso according to the given condition 25000(x-20)=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)= 30000 + 210000 + 30000S-990000= 30000S - 750000or 25000S - 500000 = 30000x - 750000or 5000x = 250000or S = 50 yrs.

Q: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2446 0

  • 1
    39 days
    Correct
    Wrong
  • 2
    37 days
    Correct
    Wrong
  • 3
    35 days
    Correct
    Wrong
  • 4
    33 days
    Correct
    Wrong
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Answer : 3. "35 days"
Explanation :

Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.

Q: A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water   ? 2446 0

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

Answer: A) 2 lit Explanation: Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.   After adding water, juice would form 87.5% of the mixture.   Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72    Hence 72 - 70 = 2 litres of water must be added.

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