GATE Practice Question and Answer

Q: Which expression is equivalent to i233? 2225 0

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

Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233  =i4 x 58 + 1 = i232 x i1 = 1 x i = i

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 ? 2219 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: I have legs, but i cannot walk. Who am I? 2219 0

  • 1
    Dragon flies
    Correct
    Wrong
  • 2
    Prawns
    Correct
    Wrong
  • 3
    House flies
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 1. "Dragon flies"
Explanation :

Answer: A) Dragon flies Explanation: Dragon flies have legs but they cannot walk.

Q: Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ? 2217 0

  • 1
    49.6%
    Correct
    Wrong
  • 2
    50.4%
    Correct
    Wrong
  • 3
    33.67%
    Correct
    Wrong
  • 4
    66.66%
    Correct
    Wrong
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Answer : 1. "49.6%"
Explanation :

Answer: A) 49.6% Explanation: As these three strategies P, Q and R are independent so these will cut cost one after the other.If initial cost is Rs 100, then20% cost is cut after initializing strategy P, then cost will remain 80% = 80further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4 Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

Q: What is the systematic name of NH4ClO3? 2215 0

  • 1
    Ammonium Chloride
    Correct
    Wrong
  • 2
    Ammonium Chlorate
    Correct
    Wrong
  • 3
    Ammonium Chlorane
    Correct
    Wrong
  • 4
    Ammonium Chlorine
    Correct
    Wrong
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Answer : 2. "Ammonium Chlorate"
Explanation :

Answer: B) Ammonium Chlorate Explanation: In common we all call the systematic name of NH4ClO3 as Ammonium Chlorate. But originally the systematic name is azanium trioxidochlorate.

Q: What is an error in a program called 2214 0

  • 1
    Power fail
    Correct
    Wrong
  • 2
    Crash
    Correct
    Wrong
  • 3
    Virus
    Correct
    Wrong
  • 4
    Bug
    Correct
    Wrong
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Answer : 4. "Bug"
Explanation :

Answer: D) Bug Explanation: In computer technology, a coding error in a computer program is called a bug.

Q: The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ? 2208 0

  • 1
    Rs. 1,44,750
    Correct
    Wrong
  • 2
    Rs. 2,35,745
    Correct
    Wrong
  • 3
    Rs. 89,489
    Correct
    Wrong
  • 4
    Rs.74,256
    Correct
    Wrong
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Answer : 1. "Rs. 1,44,750"
Explanation :

Answer: A) Rs. 1,44,750 Explanation: 3T+12C = 48,250----(1) 21T+36C = ? multiply eq (1) with 3i.e,, 3(7T+12C) = 48,250*321T+36C = 1,44,750/-

Q: A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately? 2208 0

  • 1
    20
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    22
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Given height of the conical tent = 3 m Diameter = 10 => Radius = D/2 = 10/2 = 5 m  Now, as the tent is in the conical form Volume of the conical tent = πr2h3  => (22 x 5 x 5 x 3) / (7 x 3)  = 22 x 25/7  = 78.54 cu.m  Given each person requires 3.92 cu.m of air  => Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

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