GATE Questions

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we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

From the given data,

12 children 16 days work,
One child’s one day work = 1/192.

8 adults 12 days work,
One adult’s one day’s work = 1/96.

Work done in 3 days = ((1/96) x 16 x 3) = 1/2

Remaining work = 1 – 1/2 = 1/2

(6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12

1/12 work is done by them in 1 day.

1/2 work is done by them in 12 x (1/2) = 6 days.

x - 35 = 80x/100 

=> x = 175 

=> 4x/5 = 4x175/5 = 140.

Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84

N.H. 1 is also called The Sher Shah Suri Marg between Delhi and Amritsar.

A flowchart is a type of diagram that represents a workflow or process. A flowchart can also be defined as a diagrammatic representation of an algorithm, a step-by-step approach to solving a task.

Macro flowchart shows the outlines the main segments of program. Macro flowchart is also called as less detail flowchart.

Microprocessors are used in the computers of fourth generation computers. Personal microcomputers were possible due to the microprocessors.

Microprocessors further revolutionized the development of computers.

The first microprocessor called Intel 4004 was developed by American Intel Corporation in 1971.

A touch screen is the only device which works as both an input and an output device among the given options. You view the options available to you on the screen (output) and you then use your finger to touch the option that you have chosen (input).

Hence, Screen is not purely output device.