GATE Practice Question and Answer

Q: A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ? 1776 0

  • 1
    1.5 hrs
    Correct
    Wrong
  • 2
    1.7 hrs
    Correct
    Wrong
  • 3
    2.2 hrs
    Correct
    Wrong
  • 4
    3.5 hrs
    Correct
    Wrong
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Answer : 3. "2.2 hrs"
Explanation :

Answer: C) 2.2 hrs Explanation: Let the original Speed be "s" kmphAnd the usual time be "t" hrsGiven that if the bus is running at 9s/10 kmph the time is 22 hrs=> [9s/10] x 22 = t x s=> 99/5 = t => t = 19.8 hrs   Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

Q: P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ? 1774 0

  • 1
    9 3/5 days
    Correct
    Wrong
  • 2
    7 days
    Correct
    Wrong
  • 3
    6 3/7 days
    Correct
    Wrong
  • 4
    8 days
    Correct
    Wrong
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Answer : 1. "9 3/5 days"
Explanation :

Answer: A) 9 3/5 days Explanation: Let the total work be 'W' As per the given information, P can complete the work 'W' in 24 days. => one day work of P = W/24 And also given that, The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work => PW/3 = QW/2 => P's 1 day =    W/24    ?    =      W/3 =>  ?  = 24W/3W  = 8 => QW/2 = 8 days => Q alone can complete the work W in 16 days => P + Q can complete the work in 1/24 + 1/16 = 5/48 => 48/5 days = 9 3/5 days.

Q: What is the meaning of the four colour dots in the news paper? 1774 0

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Answer :
Explanation :

If you read newspaper daily, then you may be aware of the four coloured dots on the corner of the newspaper.    The four dots CMYK — blue (Cyan), pink (Magenta), Yellow and black (Kalio) are registration marks used during printing to help ensure the print is aligned properly. Any colour can be obtained by adding the correct proportion of these four colours.   CMYK is used as a base for the colours used in printing newspapers, and these four colours are often printed on the paper in either a heart, dot, or square shape.   To print an image, the plates of all these colours are laid out on a page separately and lined up in the same spot while printing. If those four dots are blur or you find the colours overlapping on the image it means the printing is not good. To print an accurate and perfect image, the colors and shape must be arranged precisely and must be claear sharp in order to get the best output.   That's why CMYK is also called registration mark. As physically checking all the pages of the paper is not possible for a printer who prints number of news papers daily, he just checks these dots.

Q: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1774 1

  • 1
    3924
    Correct
    Wrong
  • 2
    1962
    Correct
    Wrong
  • 3
    1684
    Correct
    Wrong
  • 4
    1452
    Correct
    Wrong
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Answer : 2. "1962"
Explanation :

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Q: What goes up and down the stairs without moving? 1774 0

  • 1
    Umbrella
    Correct
    Wrong
  • 2
    Lift
    Correct
    Wrong
  • 3
    Stairs
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 3. "Stairs"
Explanation :

Answer: C) Stairs Explanation: Those are stairs which goes up and down without moving.

Q: Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected? 1773 0

  • 1
    5/7
    Correct
    Wrong
  • 2
    1/5
    Correct
    Wrong
  • 3
    2/7
    Correct
    Wrong
  • 4
    2/35
    Correct
    Wrong
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Answer : 3. "2/7"
Explanation :

Answer: C) 2/7 Explanation: P( only one of them will be selected) = p[(E and not F) or (F and not E)]   = PE∩F∪F∩E    = PEPF+PFPE    =17×45+15×67=27

Q: In general, which is the cause of a land breeze? 1773 0

  • 1
    Pressure
    Correct
    Wrong
  • 2
    Heat
    Correct
    Wrong
  • 3
    Temperature
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Temperature"
Explanation :

Answer: C) Temperature Explanation: The land breeze is a coastal breeze at night blowing from the land to the ocean. It is caused by the difference in the rates of cooling of the land and of the ocean. Once again, the bigger the difference in temperature between the two, the stronger the wind.

Q: 125 over 1000 in Simplest Form? 1773 0

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

Answer: B) 1/8 Explanation: 125 over 1000 in Simplest Form means 1251000 in its simple fraction form.   Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.   HCF of 125, 1000 = 125   Then, divide both numerator and denominator by 125 i.e, 1251251000125 = 18   Hence, 18 is the simplest form of 125 over 1000.

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