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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Q:

Which of the following memory is volatile?

A) RAM B) Floppy disc
C) ROM D) Magnetic tape
 
Answer & Explanation Answer: A) RAM

Explanation:

Volatile memory is computer memory that requires power to maintain the stored information. It is a temporary memeory which cannot contain information permanently.

Example :: RAM or Random Access Memory

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4 4509
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 4500
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 4498
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 4477
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 4477
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 4475
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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