GATE Questions

Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 

A) 87 B) 81
C) 83 D) 85
 
Answer & Explanation Answer: A) 87

Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

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Filed Under: Problems on Numbers
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4 4501
Q:

Environmental Science is the study of

A) Geography B) Physics
C) Biology D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:

environmental_science_is_the_study_of1549343122.png image

Environmental science is a field that integrates physical, biological and information sciences to the study of the environment, and the solution of environmental problems. This emerged from the fields of natural history and medicine during the Enlightenment.

 

In brief, it is a scientific study of the natural world and how it is influenced by people.

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Filed Under: General Science
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3 4499
Q:

12% of 70,000 is

A) 8400 B) 7200
C) 6000 D) 5600
 
Answer & Explanation Answer: A) 8400

Explanation:

12% of 70,000

=> 12 x 70,000/100

=> 8400

 

Hence, 12% of 70,000 = 8,400

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3 4491
Q:

There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12 B) 2/14
C) 1/14 D) 2/13
 
Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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Filed Under: Numbers
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2 4489
Q:

If a Siren sounds for every 5 seconds, how many times will it sound in ¾ of an hour?

A) 541 times B) 540 times
C) 450 times D) 275 times
 
Answer & Explanation Answer: A) 541 times

Explanation:

There are 60 minutes in an hour.

In ¾ of an hour there are (60 × ¾) minutes = 45 minutes.

In ¾ of an hour there are (60 × 45) seconds = 2700 seconds.

Siren sounds for every 5 seconds.

In 2700 seconds = 2700/5 = 540 times.

The count start after the first sound, the Siren will sound 541 times in ¾ of an hour.

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Filed Under: Clock puzzles
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10 4470
Q:

Which standard govern parallel communications?

A) CAT 5 B) IEEE 1284
C) RS-232 D) None of the above
 
Answer & Explanation Answer: B) IEEE 1284

Explanation:

IEEE 1284 is a standard that govern parallel communications.

 

  • IEEE 1284 is a standard that defines bi-directional parallel communications between computers and other devices.

 

  • It was originally developed in the 1970s by Centronics, and was widely known as the Centronics port, both before and after its IEEE standardization.

 

                      which_standard_govern_parallel_communications1539064136.jpg image

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6 4470
Q:

A definition of formal poetry is verse that

A) is written in blank verse. B) sticks to certain traditional patterns.
C) uses figurative language. D) has no rhyme scheme.
 
Answer & Explanation Answer: B) sticks to certain traditional patterns.

Explanation:
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Filed Under: English
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2 4463
Q:

Which among the following are not the children of Swapper or Scheduler?

A) Process Dispatcher B) Vhand
C) Dbflush D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

Process Dispatcher,Vhand,Dbflush are the children of Scheduler

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Filed Under: Operating Systems
Exam Prep: GATE

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