GATE Practice Question and Answer

Q: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 1684 0

  • 1
    10 2/3 days
    Correct
    Wrong
  • 2
    13 1/5 days
    Correct
    Wrong
  • 3
    12 2/3 days
    Correct
    Wrong
  • 4
    11 5/7 days
    Correct
    Wrong
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Answer : 2. "13 1/5 days"
Explanation :

Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315

Q: A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ? 1683 0

  • 1
    8 months
    Correct
    Wrong
  • 2
    6 months
    Correct
    Wrong
  • 3
    7 months
    Correct
    Wrong
  • 4
    9 months
    Correct
    Wrong
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Answer : 1. "8 months"
Explanation :

Answer: A) 8 months Explanation: Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000×1242500×x=31  --> x = 8 months.

Q: I make things short but I am pretty long myself. WHAT AM I? 1683 0

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Answer :
Explanation :

I am ABBREVIATION. Yes, i make things short and asks the full form of that thing.   Ex : FCI - Food Corporation of India IAS - Indian Administrative Service.

Q: What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop? 1683 0

  • 1
    0
    Correct
    Wrong
  • 2
    gR
    Correct
    Wrong
  • 3
    2gR
    Correct
    Wrong
  • 4
    5gR
    Correct
    Wrong
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Answer : 4. "5gR"
Explanation :

Answer: D) D Explanation: To complete the vertical loop, the minimum speed required at the lowest point  = 5gR.

Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1682 0

  • 1
    16 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    12 days
    Correct
    Wrong
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Answer : 2. "13 days"
Explanation :

Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13   Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10   P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.

Q: Which statement best describes an igneous intrusion? 1682 0

  • 1
    Igneous intrusion for when ice crystals splash into lava
    Correct
    Wrong
  • 2
    Magma is injected into surrounding rock forming an igneous intrusive
    Correct
    Wrong
  • 3
    Magma is exported to an open area and forms iron
    Correct
    Wrong
  • 4
    Magma explodes to the surface and forms a smooth outer layer of rock
    Correct
    Wrong
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Answer : 2. "Magma is injected into surrounding rock forming an igneous intrusive"
Explanation :

Answer: B) Magma is injected into surrounding rock forming an igneous intrusive Explanation: Magma is injected into surrounding rock forming an igneous intrusive.   Actually it is a plutonic formation in which magma present beneath Earth surface deforms the shape of rocks present above it

Q: What is the most important factor in improving reading skills? 1682 0

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Answer :
Explanation :

Reading is one of the main methods we use to acquire data and information in the contemporary world. In order to read a text, a person should have a basic understanding of how sounds are represented alphabetically. For doing this, a goal could be something like finding the main idea about a reading topic or locating the supporting details for that topic. To improve your reading skills, you need to be aware of these three important areas of reading improvement: 1. Understanding adaptability. 2. Increasing reading comprehension. 3. Increasing reading rate.   Understanding adaptability and Increasing reading comprehension are the most important factors in improving reading skills.

Q: 12 men complete a work in 9 days. After they have worked for 6 days, 4 more men join them. How many days will they take to complete the remaining work ? 1681 0

  • 1
    2 days
    Correct
    Wrong
  • 2
    2.5 days
    Correct
    Wrong
  • 3
    2.25 days
    Correct
    Wrong
  • 4
    3 days
    Correct
    Wrong
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Answer : 3. "2.25 days"
Explanation :

Answer: C) 2.25 days Explanation: 1 man's 1 day work = 1/108 12 men's 6 day's work = 1/9 x 6 = 2/3 Remaining work = 1 - 2/3 = 1/3 16 men's 1 day work = 1/108 x 16 = 4/274/27 work is done by them in 1 day. 1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

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