GATE Practice Question and Answer

Q: A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current? 2432 0

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

Answer: A) 4 kmph Explanation: Let the speed of current = 'C' km/hr   Given the speed of boat in still water = 6 kmph   Let 'd' kms be the distance it covers.   According to the given data,   Boat takes thrice as much time in going the same distance against the current than going with the current   i.e, d8 - C = 3 × d8 + C   ⇒ 24 - 3C = 8 + C⇒ 4C = 16⇒ C = 4 kmph   Hence, the speed of the current C = 4 kmph.

Q: In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end? 2431 0

  • 1
    3360
    Correct
    Wrong
  • 2
    5040
    Correct
    Wrong
  • 3
    720
    Correct
    Wrong
  • 4
    1080
    Correct
    Wrong
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Answer : 2. "5040"
Explanation :

Answer: B) 5040 Explanation: Given word is GLACIOUS has 8 letters. => C is fixed in one of the 8 places Then, the remaining 7 letters can be arranged in 7! ways = 5040.

Q: A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ? 2430 0

  • 1
    80 kms
    Correct
    Wrong
  • 2
    60 kms
    Correct
    Wrong
  • 3
    45 kms
    Correct
    Wrong
  • 4
    32 kms
    Correct
    Wrong
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Answer : 2. "60 kms"
Explanation :

Answer: B) 60 kms Explanation: Let 'd' be the distance and 's' be the speed and 't' be the timed=sxt45 mins = 3/4 hr and 48 mins = 4/5 hrAs distance is same in both cases;s(3/4) = (s-5)(4/5)3s/4 = (4s-20)/515s = 16s-80s = 80 km.=> d = 80 x 3/4 = 60 kms.

Q: In a year, Holi was enjoyed on 6th March 9 AM and Deepawali was celebrated on 11th November 8 PM. The total time interval (in hours) between the two was ? 2430 0

  • 1
    2101 hrs
    Correct
    Wrong
  • 2
    4125 hrs
    Correct
    Wrong
  • 3
    5124 hrs
    Correct
    Wrong
  • 4
    6011 hrs
    Correct
    Wrong
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Answer : 4. "6011 hrs"
Explanation :

Answer: D) 6011 hrs Explanation: From March 6th to November 11th, there are 250 days and Thus 250 x 24 hoursSo from Mar 6th 9AM to Nov 11th 8PM, there will be 250 x 24 + 11 hours = 6011 hrs.

Q: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ? 2429 0

  • 1
    34
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "34"
Explanation :

Answer: A) 34 Explanation: M + Tu + W + Th = 4 x 48 = 192Tu + W + Th + F = 4 x 46 = 184M = 42Tu + W + Th = 192 - 42 = 150F = 184 – 150 = 34

Q: Cup is to Coffee as Bowl is to 2426 0

  • 1
    Soup
    Correct
    Wrong
  • 2
    Food
    Correct
    Wrong
  • 3
    Fork
    Correct
    Wrong
  • 4
    Mug
    Correct
    Wrong
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Answer : 1. "Soup"
Explanation :

Answer: A) Soup Explanation: Cup : Coffee :: Bowl : Soup Because Coffee goes into a Cup and Soup goes into a Bowl where Food is a general thing and Mug is an other utensil.  So, Cup is to Coffee as Bowl is to Soup.

Q: When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ? 2423 0

  • 1
    sister
    Correct
    Wrong
  • 2
    daughter-in-law
    Correct
    Wrong
  • 3
    sister-in-law
    Correct
    Wrong
  • 4
    cousin
    Correct
    Wrong
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Answer : 3. "sister-in-law"
Explanation :

Answer: C) sister-in-law Explanation: Ankit's daughter's mother---Ankit's wife; Ankit's wife's father---Ankit's father-in-law;Father-in-law's daughter--- Ankit's sister-in-law. So, Sanvi is sister-in-law of Ankit.

Q: Which of the following is not soluble in water? 2421 0

  • 1
    copper(II) hydroxide
    Correct
    Wrong
  • 2
    sodium chloride
    Correct
    Wrong
  • 3
    silver nitrate
    Correct
    Wrong
  • 4
    potassium sulfate
    Correct
    Wrong
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Answer : 1. "copper(II) hydroxide"
Explanation :

Answer: A) copper(II) hydroxide Explanation: Sodium chloride: The solubility rules tell you that all halides are soluble with the exception of those formed with siver, mercury, and lead ions. Since this is not the case here, sodium chloride will be soluble.   Silver nitrate: It is soluble because all nitrates are soluble, without exception.   Potassium sulfate: It is soluble because all sulfates are soluble with the exception of those formed with silver, calcium, barium, mercury, lead, and strontium ions.   Copper (II) hydroxyde: It is insoluble because all hydroxides are insoluble with the exception of those formed with alkali metal ions and barium.

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