GATE Practice Question and Answer

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 ? 1287 0

  • 1
    3
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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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: Long Sightedness means 1284 0

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    near images are blurry
    Correct
    Wrong
  • 2
    far images are blurry
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "near images are blurry"
Explanation :

Answer: A) near images are blurry Explanation: Long sightedness is a common vision condition in which nearby objects are blurry.   In this situation, the person with this condition of the eye where the curvature of the cornea is flat or the axial length of the eyeball is short. When light enters the eye, it does not focus directly on the retina, but focuses beyond the retina. This causes near images to appear out of focus and blurred.     Long sightedness is also called hyperopia, and sometimes presbyopia.

Q: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube  ? 1283 0

  • 1
    15 m
    Correct
    Wrong
  • 2
    4 m
    Correct
    Wrong
  • 3
    6 m
    Correct
    Wrong
  • 4
    9 m
    Correct
    Wrong
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Answer : 3. "6 m"
Explanation :

Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

Q: Who was apointed as ICAI ( Institute of Chartered Accountants of India) president in 2017 ? 1283 0

  • 1
    Naveen N D Gupta
    Correct
    Wrong
  • 2
    Nilesh Shivji Vikamsey
    Correct
    Wrong
  • 3
    Rajesh Kakkar
    Correct
    Wrong
  • 4
    Bhavraj Singh
    Correct
    Wrong
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Answer : 2. "Nilesh Shivji Vikamsey"
Explanation :

Answer: B) Nilesh Shivji Vikamsey Explanation: The Institute of Chartered Accountants of India (ICAI) elected Nilesh Shivji Vikamsey as president and Naveen N D Gupta as vice-president. They have been elected for the year 2017-18. Vikamsey, who served as vice-president, has been a member of the ICAI since 1985. Gupta has been a chartered accountant for more than 20 years.

Q: 3/8 as a decimal 1279 0

  • 1
    1.375
    Correct
    Wrong
  • 2
    2.375
    Correct
    Wrong
  • 3
    0.375
    Correct
    Wrong
  • 4
    3.75
    Correct
    Wrong
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Answer : 3. "0.375"
Explanation :

Answer: C) 0.375 Explanation: Expressing 3/8 as a decimal fraction: We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts. Then, it is 3/8 = 0.375 as a decimal fraction.   Other Method:: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125   => (3 x 125)/(8 x 125) = 375/1000 = 0.375.

Q: Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds? 1277 0

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

Answer: A) 1:7 Explanation: Let the speed of the trains be x and y respectively length of train1 = 47xlength of train2 = 31yRelative speed= x + yTime taken to cross each other = 33 s=> 47x+31yx+y= 33=> (47x + 31 y) = 33(x + y)=> 14x = 2y=> x/y = 2/14 = 1/7  = 1:7

Q: A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ? 1276 0

  • 1
    Total work
    Correct
    Wrong
  • 2
    One-fourth work
    Correct
    Wrong
  • 3
    Half work
    Correct
    Wrong
  • 4
    Two-third work
    Correct
    Wrong
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Answer : 3. "Half work"
Explanation :

Answer: C) Half work Explanation: A can do the work = 18 daysB can do the work = 18/2 = 9 days(A + B)'s 1 day work = 1/18 + 1/9 = 1/6=> In 3 days = 3x1/6 = 1/2 work is completed.

Q: According to a report by New World Wealth, which is the richest city in the world 2018? 1272 0

  • 1
    Tokyo
    Correct
    Wrong
  • 2
    New York
    Correct
    Wrong
  • 3
    London
    Correct
    Wrong
  • 4
    Paris
    Correct
    Wrong
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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.

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