GATE Practice Question and Answer

Q: Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years? 1642 0

  • 1
    Rs. 364
    Correct
    Wrong
  • 2
    Rs. 432
    Correct
    Wrong
  • 3
    Rs. 498
    Correct
    Wrong
  • 4
    Rs. 554
    Correct
    Wrong
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Answer : 2. "Rs. 432"
Explanation :

Answer: B) Rs. 432 Explanation: Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya Principal amount and Time is same but the only difference is Rate of interest. Rajeev took @ 8% and gave it to Chanukya @ 6% Here the difference in interest rate = 2% 2% of 5400 should be the extra amount paid by Rajeev to Avinash Required amount = 2 x 5400 x 4100 = 432   Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1641 0

  • 1
    45 kmph
    Correct
    Wrong
  • 2
    25 kmph
    Correct
    Wrong
  • 3
    30 kmph
    Correct
    Wrong
  • 4
    50 kmph
    Correct
    Wrong
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Answer : 4. "50 kmph"
Explanation :

Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.

Q: What time will it be in 45 minutes? Now, if the time is 4:48 pm. 1640 0

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Answer :
Explanation :

As now, the time 4 : 48 pm after 45 min it will be 4:48 + 45 min = (4 hrs : 48 + 12 min) pm + 33 min = 5 hrs : 33 min pm. Hence, it is 5:33 pm.

Q: In how many different ways can the letters of the word 'POVERTY' be arranged ? 1639 0

  • 1
    2520
    Correct
    Wrong
  • 2
    5040
    Correct
    Wrong
  • 3
    1260
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "5040"
Explanation :

Answer: B) 5040 Explanation: The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.

Q: Light travels slowest in 1637 0

  • 1
    Glass
    Correct
    Wrong
  • 2
    Water
    Correct
    Wrong
  • 3
    Air
    Correct
    Wrong
  • 4
    Vacuum
    Correct
    Wrong
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Answer : 1. "Glass"
Explanation :

Answer: A) Glass Explanation: Because the refractive index of glass is highest, light travels slowly in Glass.  We know that the speed of light depends on the refraction index. The higher the index of refraction is, the slower the speed of light is. R.I of air and vacuum = 0 (air is a teeny bit more but can be taken as 0) R.I of water = 1.33 R.I of glass = 1.4.   Hence, Light travels slowest in Glass.

Q: Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ? 1637 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    5 : 4
    Correct
    Wrong
  • 3
    7 : 6
    Correct
    Wrong
  • 4
    6 : 7
    Correct
    Wrong
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Answer : 1. "4 : 5"
Explanation :

Answer: A) 4 : 5 Explanation: Let x be the investment of Lasya in 5% and y be in 4% x(5)(n)/100 = y(4)(n)/100 => x/y = 4/5 x : y = 4 : 5

Q: Antonym of:: Amicable 1636 0

  • 1
    Hostile
    Correct
    Wrong
  • 2
    Loveable
    Correct
    Wrong
  • 3
    Friendly
    Correct
    Wrong
  • 4
    Peaceful
    Correct
    Wrong
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Answer : 1. "Hostile"
Explanation :

Answer: A) Hostile Explanation: Amicable means Friendly or in Loveable, peaceful sense. Then Antonyms for Amicable are Opposite of Friendly => Unfriendly, Hostile, Unpeaceful, etc...

Q: 3 x 3 + 3 - 3 + 3 = ? 1635 0

  • 1
    9
    Correct
    Wrong
  • 2
    12
    Correct
    Wrong
  • 3
    -3
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 2. "12"
Explanation :

Answer: B) 12 Explanation: Using BODMAS law, 3 x 3 + 3 - 3 + 3 = 3 x 3 = 12 = 12 + 3 - 3 + 3 =  9 + 3 = 12   Hence, 3 x 3 + 3 - 3 + 3 = 12.

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