GATE Practice Question and Answer

Q: Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ? 3006 0

  • 1
    100
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "100"
Explanation :

Answer: A) 100 Explanation: Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28   It is in the form of  a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c   Here a = 37, b = 35 & c = 28    => a + b + c = 37 + 35 + 28 = 100       Therefore,   = 100

Q: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ? 3003 0

  • 1
    360 m
    Correct
    Wrong
  • 2
    420 m
    Correct
    Wrong
  • 3
    460 m
    Correct
    Wrong
  • 4
    320 m
    Correct
    Wrong
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Answer : 2. "420 m"
Explanation :

Answer: B) 420 m Explanation: Let the length of the stationary train Y be LY Given that length of train X, LX = 300 m Let the speed of Train X be V. Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively. => 300/V = 25 ---> ( 1 ) (300 + LY) / V = 60 ---> ( 2 ) From (1) V = 300/25 = 12 m/sec. From (2) (300 + LY)/12 = 60 => 300 + LY = 60 (12) = 720 => LY = 720 - 300 = 420 m Length of the stationary train = 420 m

Q: A computer consists of 2986 0

  • 1
    motherboard
    Correct
    Wrong
  • 2
    hard disk drive
    Correct
    Wrong
  • 3
    central processing unit
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: A computer system consists of a computer case, a power supply unit, a motherboard, a central processing unit (CPU), main memory, and a hard disk drive. Input devices include a keyboard, mouse, microphone, video camera, and image scanner. Output devices include a monitor, speakers, and a printer.

Q: Genuine : Authentic : : Mirage : ? 2981 0

  • 1
    Transpiration
    Correct
    Wrong
  • 2
    Illusion
    Correct
    Wrong
  • 3
    Reflection
    Correct
    Wrong
  • 4
    Image
    Correct
    Wrong
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Answer : 2. "Illusion"
Explanation :

Answer: B) Illusion Explanation: Here the given pair of words are related in such a way that they are synonyms. That is Genuine and Authentic are synonyms and similarly, Mrage and illusion are synonyms.   Hence, Genuine : Authentic : : Mirage : Illusion.

Q: What is the 13th letter of the English Alphabet? 2980 0

  • 1
    M & N
    Correct
    Wrong
  • 2
    M & M
    Correct
    Wrong
  • 3
    N & N
    Correct
    Wrong
  • 4
    N & L
    Correct
    Wrong
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Answer : 1. "M & N"
Explanation :

Answer: A) M & N Explanation: There are 26 English Alphabets. They are:   A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z.   Therefore, from the left end the 13th letter is M and is Consonent. And from the right end the 13th letter is N and is Consonent.

Q: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ? 2977 0

  • 1
    36 kmph
    Correct
    Wrong
  • 2
    35 kmph
    Correct
    Wrong
  • 3
    72 kmph
    Correct
    Wrong
  • 4
    70 kmph
    Correct
    Wrong
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Answer : 4. "70 kmph"
Explanation :

Answer: D) 70 kmph Explanation: By car 240 km at 60 kmphTime taken = 240/60 = 4 hr. By train 240 km at 60 kmphTime taken = 400/100 = 4 hr. By bus 240 km at 60 kmphTime taken = 200/50 = 4 hr. So total time = 4 + 4 + 4 = 12 hr. and total speed = 240+400+200 = 840 kmAverage speed of the whole journey = 840/12 = 70 kmph.

Q: How long have i been alive? 2971 0

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Answer :
Explanation :

This is a different way of asking your age. It can be how long you have been living in days weeks months and years since your birth date.

Q: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together  ? 2964 0

  • 1
    5 (2/3)
    Correct
    Wrong
  • 2
    6 (3/4 )
    Correct
    Wrong
  • 3
    4 (1/2)
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 3. "4 (1/2)"
Explanation :

Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total.    Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9    They would take 9/2 days = 4 (1/2) days to complete the work working together.

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