GATE Practice Question and Answer

Q: Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph? 2292 0

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

Answer: B) 4 kmph Explanation: Let the distance in one direction = k kms Speed in still water = 4.5 kmph Speed of river = 1.5 Hence, speed in upstream = 4.5 - 1.5 = 3 kmph Speed in downstream = 4.5 + 1.5 = 6 kmph Time taken by Rajesh to row upwards = k/3 hrs Time taken by Rajesh to row downwards = k/6 hrs Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph    Therefore, the average speed of the whole journey = 4kmph.

Q: How much does a clock lose per day, if its hands coincide ever 65 minutes ? 2290 0

  • 1
    1440/143 min
    Correct
    Wrong
  • 2
    184/13 min
    Correct
    Wrong
  • 3
    1425/18 min
    Correct
    Wrong
  • 4
    541/9 min
    Correct
    Wrong
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Answer : 3. "1425/18 min"
Explanation :

Answer: C) 1425/18 min Explanation: 55 min. spaces are covered in 60 min.60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.Loss in 65 min. = (720/11 - 65 ) = 5/11Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.

Q: A clock is started at 11 a.m. By 600 seconds past 6 p.m, the hour hand has turned through ? 2287 0

  • 1
    155 degrees
    Correct
    Wrong
  • 2
    175 degrees
    Correct
    Wrong
  • 3
    205 degrees
    Correct
    Wrong
  • 4
    215 degrees
    Correct
    Wrong
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Answer : 4. "215 degrees"
Explanation :

Answer: D) 215 degrees Explanation: The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes.We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.

Q: Which of the following statements is most accurate regarding infection with parvovirus B19? 2287 0

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    Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors
    Correct
    Wrong
  • 2
    Parvovirus B19 can cause hydrops fetalis via transplacental infection of a fetus in a seropositive mother
    Correct
    Wrong
  • 3
    Parvovirus B19 can be diagnosed by detection of viral RNA using PCR or hybridization assays
    Correct
    Wrong
  • 4
    Parvovirus B19 replicates in the host cell nucleus utilizing a virally encoded DNA polymerase to create a double- stranded DNA intermediate
    Correct
    Wrong
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Answer : 1. "Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors"
Explanation :

Answer: A) Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors Explanation: Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors.   a. Parvovirus B19 binds preferentially to the erythrocyte blood group P antigen on erythroid precursor cells. Answers B, C, D are incorrect: b. after entry the single-stranded viral DNA genome is transported to the cell nucleus where the host DNA polymerase synthesizes the complimentary DNA strand. c. Parvovirus B19 infection can be diagnosed by direct detection of viral DNA not RNA. d. the fetus of a seropositive mother is protected from infection by maternal circulating antibodies.

Q: A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: 2286 0

  • 1
    25%
    Correct
    Wrong
  • 2
    21.14%
    Correct
    Wrong
  • 3
    22.54%
    Correct
    Wrong
  • 4
    27.32%
    Correct
    Wrong
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Answer : 3. "22.54%"
Explanation :

Answer: C) 22.54% Explanation: C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.   S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500. Profit = 1500 - 1224 = Rs.276    Profit % = ProfitC.P×100  = 2761224×100 = 22.54%.

Q: Planet : Orbit :: Projectile : ? 2285 0

  • 1
    Path
    Correct
    Wrong
  • 2
    Milky way
    Correct
    Wrong
  • 3
    Track
    Correct
    Wrong
  • 4
    Trajectory
    Correct
    Wrong
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Answer : 4. "Trajectory"
Explanation :

Answer: D) Trajectory Explanation: The path traced by planet is called Orbit. Similarly, the path traced by projectile is called Trajectory.   Hence, Planet : Orbit : : Projectile : Trajectory.

Q: A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 2280 0

  • 1
    15:07 hrs
    Correct
    Wrong
  • 2
    15:20 hrs
    Correct
    Wrong
  • 3
    15:05 hrs
    Correct
    Wrong
  • 4
    15:00 hrs
    Correct
    Wrong
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Answer : 1. "15:07 hrs"
Explanation :

Answer: A) 15:07 hrs Explanation: Next train comes at 17:00 hrs.So, last train will be = 17:00hrs - 2:30hrs= 14:30hrsAnnouncement made after 37 min of the last train.S0, 14:30hrs + 00:37 min= 15:07 hrs.

Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2274 0

  • 1
    59
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    61
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.

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