GATE Practice Question and Answer

Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1384 0

  • 1
    27 7/9 mts
    Correct
    Wrong
  • 2
    25 8/7 mts
    Correct
    Wrong
  • 3
    21 1/4 mts
    Correct
    Wrong
  • 4
    22 mts
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "27 7/9 mts"
Explanation :

Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9  Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9

Q: Atomic mass of first 30 elements? 1384 0

  • Show AnswerHide Answer
  • Workspace

Answer :
Explanation :

Here I give you the first 30 Atomic elements names and their Atomic masses.   Atomic number      Element        Atomic mass                                      1                 Hydrogen           1         2                  Helium              4         3                 Lithium              6.94         4                Beryllium            9.01         5                  Boron               10.81         6                Carbon               12.01         7                Nitrogen             14.01         8                Oxygen              15.99         9                Fluorine              19.00        10                Neon                 20.18        11               Sodium               22.99        12             Magnesium           25.31        13             Aluminium            26.98        14               Silicon                28.09        15             Phosphorus           30.97        16               Sulphur               32.07        17               Chlorine              35.45        18                Argon                 39.95        19             Potassium              39.10        20              Calcium                40.08        21             Scandium              44.96        22             Titanium               47.87        23            Vanadium              50.94        24             Chromium            24. 52        25            Manganese            54.94        26                Iron                  55.85        27              Cobalt                 58.93        28               Nickel                 58.69        29              Copper                 63.55        30                Zinc                   65.41

Q: Multiplicative inverse of 7? 1382 0

  • 1
    1
    Correct
    Wrong
  • 2
    -1/7
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1/7
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "1/7"
Explanation :

Answer: D) 1/7 Explanation: Multiplicative inverse is nothing but a reciprocal of a number.  It is defined as one of a pair of numbers that when multiplied with another number equals the number 1. Multiplicative inverse or reciprocal of 7 is  7 x n = 1 => n = 1/7.   Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

Q: How can we get 24 as an answer by using 6, 11, 3 and 9? 1382 0

  • Show AnswerHide Answer
  • Workspace

Answer :
Explanation :

This can be solved in two ways using only 6, 11, 9 and 3 we must get 24. 1. {[(11–6) x 3] + 9} By solving this we get 5 x 3 + 9 = 15 + 9 = 24.   2. [(9–6) x (11–3)] = 3 x 8 = 24.

Q: According to a report by New World Wealth, which is the richest city in the world 2018? 1381 0

  • 1
    Tokyo
    Correct
    Wrong
  • 2
    New York
    Correct
    Wrong
  • 3
    London
    Correct
    Wrong
  • 4
    Paris
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "New York"
Explanation :

Answer: B) New York Explanation: New York City, London, and Tokyo are the richest cities in the world 2018, according to their ranks.

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 ? 1380 0

  • 1
    250 mts
    Correct
    Wrong
  • 2
    400 mts
    Correct
    Wrong
  • 3
    320 mts
    Correct
    Wrong
  • 4
    390 mts
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1378 0

  • 1
    3
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job.   In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job.   So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job.   The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour.   Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9.   The mother takes 9 hours to complete the job.

Q: A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ? 1378 0

  • 1
    13.33 %
    Correct
    Wrong
  • 2
    14.25 %
    Correct
    Wrong
  • 3
    16.98 %
    Correct
    Wrong
  • 4
    18.75 %
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "18.75 %"
Explanation :

Answer: D) 18.75 % Explanation: Given,S.I = 3 Principal Amount=> 3A = A x 16 x R/100By solving, we get => R = 18.75%

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully