GATE Virtual Calculator Complete Tutorial

18/12/2015 GATE Virtual Calculator Complete Tutorial

http://qualifygate.com/gatevirtualcalculatorcompletetutorial/ 1/7

Structure of the Tutorial: First we will deal with basic arithmeticoperation such as plus, minus, division, multiplication, square root,reciprocal then we will move to trigonometric, logarithm, exponential andfactorial.

Basic Arithmetic Operation:

There is a special way of writing number with negative sign.Supposewe want to write 25

1. Write number 25

2. Click on [ +/ ] button.

Plus, Minus, Multiplication and Division :

Now let solve some example to understand some basic feature

First Example:

1. Write number 25

2. Click on [+/] button.

3. Click on [ * ] button –> open bracket [ ( ] –> Type 50 –> click on[ * ] — > Type 5 –> closebracket [ ) ] –> Click on [ / ] –> Type 4 –> Click on [ = ].

Second Example:

Answer is 90

Button Sequence:

10 [ + ] [ ( ] 50 [ – ] 10 [ * ] [ ( ] 2.6 [ – ] 0.6 [ ) ] [

http://qualifygate.com/wp-content/uploads/2015/12/basic-arithmetic-2-gate-Virtual-Calculator.png



/ ] [ ( ] 1.4 [ – ] 0.4 [ ) ] [ = ]

Power:

First we will discuss about ( power of 10 ) button then we will movetoward power of other number.

Power of 10: Two button has given for Power of 10 function first is [ Exp] and second is [ 10 ]. Let solve an example to see what is the differentbetween them and how does they work.

while using [Exp] button we first have to type 4.2 than we willuse[Exp] button but in case on [ 10 ] first we have to find power of 10then we mention 4.2

Button Sequence:

4.2 [ Exp ] 2 [ = ]

2 [ 10 ] [ * ] 4.2 [ = ]

Power in General

Three button has given for this purpose [ x ], [ x ] and [ x ]. First andsecond is for square and cube respectively where as 3rd button is forother numbers.

Square: First you have to mention x then click on [ x ] to get square of x.For example we want to calculate 144 so type 144 then click on [ x ] forresult 20736.

Cube: First you have to mention number then click on [ x ] to get cubeof number. For example we want to calculate 125 so first type number125 then click on [ x ] for result 1953125.

x

x

x

2 3 y

2

2 2

3

3

3



Other: Now we want to calculate 31 . Procedure will be same as abovebut now we have to mention power term. So first type 31 then click on [x ] now mention power term which is 4 in this case then click on [ = ] forresult 923521.

Problems:

Solution:

[ ( ] [ ( ] 5 [ * ] 21 [ x ] 3 [ ) ] [ + ] [ ( ] 2 [ * ] 4.8 [ x ] 7 [ ) ] [ ) ] [ / ] 10 [ x ] 4 [ = ].

Screenshot of virtual calculator you should get

Root :

Three buttons are provided for dealing with roots [ √ ], [ √ ] and [ √x ] inGATE Virtual Calculator. Let solve some simple problem to learn aboutthese button.

Square Root: Mention the number of which square root has to be findthen click on [ √ ]. For Example we want to find √441 so first we have totype 441 then click on [ √ ] button for result 21.

Cube Root: Mention the number of which cube root has to be find thenclick on [ √ ]. For example we want to find √10648 so first we have totype 10648 then click on [ √ ] button for result 22.

Other [ √x ]: First type value of x then click on [ √x ] then mentionvalue of y. For example we want to find √3125 so first type 3125 then

4

y

y

y y

3 y

3 3

3

y y

5



click on [ √x ] and then mention 5 and click [ = ] for result 8.

Problem:

Solution:

44 [ √ ] [ + ] 50 [ √ ] [ + ] 75 [ √x ] 4 [ = ]

It should look like this

Reciprocal:

For finding reciprocal of any number just type the number and click on[1/x ] button.

Problem

Solution:

15 [ 1/x ] [ + ] 21 [ 1/x ] [ = ]

Trigonometric Function

Calculator should be in degree mode and value should always be givenfirst and then function for example in order to find sin30 one must type 30first then click on [ sin ] button.

Gate Virtual Calculator consist of 6 buttons to deal with trigonometric

y

3 y

http://qualifygate.com/wp-content/uploads/2015/12/root-problem-gate-Virtual-Calculator.png

http://qualifygate.com/wp-content/uploads/2015/12/reciprocal-1.png



problem which are [ sin ] [ cos ] [ tan ] [sin ] [cos ] [tan ] and 6hyperbolic function [ sinh ] [ cosh ] [ tanh ] [sinh ] [cosh ] [tanh]. Here we will look into functioning of 6 trigonometric function which willbe same for hyperbolic function too.

For example:

Sin 30 + cos 30 = 1.366

30 [ sin ] [ + ] 30 [ cos ] [ = ]

sin 30 + cos 30 = 1

30 [ sin ] [ x ] [ + ] 30 [ cos ] [ x ] [ = ]

cot55 + cosec 75 = 1.735

As we know that reciprocal of sin is cosec, reciprocal of tan is cot andreciprocal of cos is sec so we will solve (1/tan55) + (1/sin75)

55 [ tan ] [ 1/x ] [ + ] 75 [ sin ] [ 1/x ] [ = ]

Logarithmic Function

Four buttons is provided in GATE Virtual Calculator for dealing withLogarithmic Function [ ln ], [ log x ], [ log x ] and [ log x ]

[ ln ] This button mean Logarithms with base e. In order to determineln5 first type the value which is in this case is 5 then click on [ ln ] buttonfor result 1.609.

[ log x ] : Logarithms with base 2

[ log x ] : Logarithms with base 10

[ log x ] : Logarithms with user input base.

1 1 1

1 1

1

2 2

2 2

2 y

2

y



Problem: In mechanical, true strain of forging is given by

Suppose value of h is 50 and h is 20 then value of truestrain is

Solution

50 [ / ] 20 [ = ] [ ln ]

Ans is 0.916

Factorial Function

we have [ n! ] button to deal with factorial function

5! 5 [ n! ] 120

8! 8 [ n! ] 40320

IMPORTANT ADVICE:1. Always click on [ C ] button before starting new calculation

2. BODMAS rule should be followedB → BracketO → Order (Power and roots)D → DivisionM → MultiplicationA → AdditionS → Subtraction

3. Here [ mod ] button is simply a showpiece never press mod button. It is just indicating whethercalculator is in deg mode or in radian mode. For changing degree mode to radian mode youhave to press radio ⊙ button.

4. While solving question try to do your calculation with GATE virtual calculator in order to getgood command on it.

y

o f



In coming days I am going to cover calculation of important formula’susing GATE virtual Calculator for different subjects. Subscribe to getupdates in your mail box.

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GATE Virtual Calculator Complete Tutorial