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 3623
Q:

What is harder to catch the faster you run?

A) Breathe B) Fire
C) Water D) Time
 
Answer & Explanation Answer: A) Breathe

Explanation:

It is very hard to catch breathe when you run fast.

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4 3622
Q:

Which Word Does Not Belong with the Others

A) VDU B) Speakers
C) Plotter D) Joystick
 
Answer & Explanation Answer: D) Joystick

Explanation:

Here Joystick is the word doesn't belong with the others.

Because Except Joystick all others are Output Devices whereas Joystick is Input Device.

VDU - Visual Display Unit - Monitor to display

Speakers - Output sound

Plotter - used to produce single or multiple colored images.

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49 3622
Q:

A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will  A and B together can complete that work ?

A) 36 B) 40
C) 42 D) 38
 
Answer & Explanation Answer: B) 40

Explanation:

Remaining work = 1 - 9/10 = 1/10

 

=> A & B together completes 1/10 of work in 4 days

 

=> 1 work can completed in ------ ? days

 

Let it be x days

 

=>  4110=x1

 

=> x = 40 days.

 

Hence, A & B together can complete the work in 40 days.

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Filed Under: Time and Work
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11 3616
Q:

Choose the synonym of 'Hypothesis' from the following options ?

A) Theory B) Fascination
C) Complexity D) Falling
 
Answer & Explanation Answer: A) Theory

Explanation:

'Hypothesis' is a word that gives a brief explanation of the concepts based on the limited evidence. The word 'theory' is closest in meaning to it.

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Filed Under: Analogy
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5 3616
Q:

Lux is the SI unit of

A) luminous flux B) luminous efficiency
C) intensity of illumination D) luminous intensity
 
Answer & Explanation Answer: C) intensity of illumination

Explanation:

The lux (lx) is the SI derived unit of illuminance and luminous emittance, measuring luminous flux per unit area. It is equal to one lumen per square meter.

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Filed Under: Physics
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6 3615
Q:

When a computer prints a report this output is called

A) Soft copy B) Hard copy
C) Printing D) Program
 
Answer & Explanation Answer: B) Hard copy

Explanation:

Hard copy is the output which is printed by the computer.

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3 3614
Q:

What is the capital of Bhutan ?

A) Dhaka B) Thimphu
C) Tripoli D) Tokyo
 
Answer & Explanation Answer: B) Thimphu

Explanation:
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Filed Under: World Geography
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