GATE Practice Question and Answer

Q: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4612 0

  • 1
    8 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    7.5 kmph
    Correct
    Wrong
  • 4
    5.5 kmph
    Correct
    Wrong
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Answer : 2. "6 kmph"
Explanation :

Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph

Q: The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price? 4584 0

  • 1
    Rs. 380
    Correct
    Wrong
  • 2
    Rs. 420
    Correct
    Wrong
  • 3
    Rs. 460
    Correct
    Wrong
  • 4
    Rs. 440
    Correct
    Wrong
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Answer : 2. "Rs. 420"
Explanation :

Answer: B) Rs. 420 Explanation: As given in the question, Marked price is 25% more than the Cost price. => C.P of the article = 34 x 400 = 300  Now,  Let the original S.P of the article be Rs. P Now the new S.P = P + 16.666 +13.333300 x P  => S.P = 7P6 According to the question, 7P6 - 300 = 2P - 300 => 5P = 1800 => P = Rs. 360 Hence, the increased S.P = 360 x 7/6 = Rs. 420.

Q: In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is: 4537 0

  • 1
    9
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    7.5
    Correct
    Wrong
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Answer : 1. "9"
Explanation :

Answer: A) 9 Explanation: Speed in still water = Average of Speed in Upstream and speed in Downstream = 1/2 (12 + 6) kmph = 9 kmph.

Q: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ? 4535 0

  • 1
    Rs. 5500
    Correct
    Wrong
  • 2
    Rs. 6000
    Correct
    Wrong
  • 3
    Rs. 6200
    Correct
    Wrong
  • 4
    Rs. 6350
    Correct
    Wrong
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Answer : 2. "Rs. 6000"
Explanation :

Answer: B) Rs. 6000 Explanation: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?Ratio of increase of wages = 22:25Ratio of decrease of labourers = 15:11Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275Final bill = Rs. 5000For 275 ratio wages = Rs. 5000For 1 ratio wages = 5000/275For 330 ratio wages = 5000/275 x 330 = Rs. 6000

Q: Essential Part for the given word from the following options. Respiration 4501 0

  • 1
    Oxygen
    Correct
    Wrong
  • 2
    Carbon monoxide
    Correct
    Wrong
  • 3
    Mouth
    Correct
    Wrong
  • 4
    Circulation
    Correct
    Wrong
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Answer : 1. "Oxygen"
Explanation :

Answer: A) Oxygen Explanation: A person or animal must take in oxygen for respiration to occur. A mouth (choice a) is not essential because breathing can occur through the nose. Choices b and d are clearly not essential and can be ruled out.

Q: Central processing unit is combination of 4480 0

  • 1
    Arithmetic and Control unit
    Correct
    Wrong
  • 2
    Control and Output unit
    Correct
    Wrong
  • 3
    Control and Storage unit
    Correct
    Wrong
  • 4
    Arithmetic logic and input unit
    Correct
    Wrong
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Answer : 1. "Arithmetic and Control unit"
Explanation :

Answer: A) Arithmetic and Control unit Explanation:

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Answer : 4. "20 years"
Explanation :

Answer: D) 20 years Explanation: Present total age of the members = 26(5) = 130 years.   Present age of the youngest member = 10 years   Present total age of the remaining four members = 130 -10 = 120 years   Their average age at the time of the birth of the youngest member = 120-4×104 = 30 - 10 = 20 years.

Q: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work  ? 4465 0

  • 1
    18 days
    Correct
    Wrong
  • 2
    20 days
    Correct
    Wrong
  • 3
    16 days
    Correct
    Wrong
  • 4
    14 days
    Correct
    Wrong
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Answer : 2. "20 days"
Explanation :

Answer: B) 20 days Explanation: (5m + 9w)10 = (6m + 12w)8  => 50m + 90w = 48w + 96 w    => 1m = 3w 5m + 9w = 5m + 3m = 8m   8 men can do the work in 10 days. 3m +3w = 3m + 1w = 4m So, 4 men can do the work in (10 x 8)/4 = 20 days.

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