GATE Practice Question and Answer

Q: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1207 0

  • 1
    10.25 %
    Correct
    Wrong
  • 2
    8.16 %
    Correct
    Wrong
  • 3
    9.63 %
    Correct
    Wrong
  • 4
    0.16 %
    Correct
    Wrong
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Answer : 2. "8.16 %"
Explanation :

Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.

Q: Simplify  413 + 215 + 414 = ? 1202 0

  • 1
    10 47/60
    Correct
    Wrong
  • 2
    11 45/73
    Correct
    Wrong
  • 3
    11 47/36
    Correct
    Wrong
  • 4
    10 35/48
    Correct
    Wrong
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Answer : 1. "10 47/60"
Explanation :

Answer: A) 10 47/60 Explanation: The given equation is in Mixed fraction. Now to solve this type of fractions, 413 + 215 + 414 =?? = 4 + 2 + 4 + 13 + 15 + 14 ? = 10 + 4760? = 104760

Q: Which results in an increase in power? 1200 0

  • 1
    doing more work in less time.
    Correct
    Wrong
  • 2
    doing less work in more time.
    Correct
    Wrong
  • 3
    doing less work in less time.
    Correct
    Wrong
  • 4
    doing more work in more time.
    Correct
    Wrong
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Answer : 1. "doing more work in less time."
Explanation :

Answer: A) doing more work in less time. Explanation: Doing more work in less time, results in an increase in power to do a work.

Q: In how many different ways could couples be picked from 6 men and 9 women ? 1200 0

  • 1
    26
    Correct
    Wrong
  • 2
    54
    Correct
    Wrong
  • 3
    52
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 2. "54"
Explanation :

Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5   Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.

Q: If everyone on the team is a veteran, what will you do to fit in ? 1200 0

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Answer :
Explanation :

This answer shows steps of becoming a team member that doesn't appear to be in training. It is describing ways to limit training times in meetings, and include that a new worker could benefit an existing team by making a list of ideas. Even if everyone is a veteran, I feel confident I can fit right in. I would prepare as much as I can by reading existing material to catch up on the project. I would plan for meetings by making a list of questions I have and finding the answers to these questions before the meeting. I would also create a list of ideas through the documents I have read. A fresh mind could help with creative solutions. I know that I would be required to study a lot in the beginning, but I would be able to do so at home or by working late in the office.

Q: A train is moving and crossing a man who is running on a  platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ? 1194 0

  • 1
    202 mts
    Correct
    Wrong
  • 2
    188 mts
    Correct
    Wrong
  • 3
    165 mts
    Correct
    Wrong
  • 4
    156 mts
    Correct
    Wrong
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Answer : 3. "165 mts"
Explanation :

Answer: C) 165 mts Explanation: Let the length of the train = L mts Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s => 66 x 5/18 = L/9 => L = 165 mts.

Q: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1193 0

  • 1
    250 mts
    Correct
    Wrong
  • 2
    400 mts
    Correct
    Wrong
  • 3
    320 mts
    Correct
    Wrong
  • 4
    390 mts
    Correct
    Wrong
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Answer : 2. "400 mts"
Explanation :

Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.

Q: Find the Missing Numbers in the given Number Puzzle ? 1191 0

  • 1
    169 & 81
    Correct
    Wrong
  • 2
    67 & 121
    Correct
    Wrong
  • 3
    64 & 115
    Correct
    Wrong
  • 4
    70 & 110
    Correct
    Wrong
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Answer : 1. "169 & 81"
Explanation :

Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements.   In the same way, square of sum of digits in the second row = Respective third row elements.   => 6+42=102=100   => 4+92=132=169   => 8+12=92=81.

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