GATE Questions

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Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28

It is in the form of

 a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c

Here a = 37, b = 35 & c = 28 

=> a + b + c = 37 + 35 + 28 = 100

Therefore,   = 100

All except Parrot are birds of prey.

Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event

∴A, B, C are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 PA=12, PB=23, PC= 34

∴ P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = PA∩B∩C 

                  = PAPBPC         ∵ A, B, C are Independent                       

                  =  12×23×34  

                  = 14  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = 1-14= 3/4

plan is given in first step. Total count of letters is 4 and last letter is N and ‘p’ is coded as & so Final answer will be-  &N4

We have to find 'translate' code. As we can see that this word is not given in any steps but as we know the idea of that so we can solve it.

Step I: first we will count the letters of that word that is 9, then we put digit 9 at the right end.

Step II: we will put the last letter of that word then it will like- E9

Step III: at the last step ‘t’ is coded for ‘@’(first letter of each word is coded by a specific symbol like here ‘t’ is coded for ‘@’. We can find the first coded symbol by looking at the other given words.

Answer will be - @E9

Given 

6   3   3   6   24   ?

Here

6

6 x 0.5 = 3

3 x 1 = 3 

3 x 2 = 6

6 x 4 = 24 

24 x 8 = 192

The next number in the given series is 192.

Pour - 4156 => P = 4,  r = 6

Sware - 78269 => a =  2,  e = 9

Clear - 3@926 => l = @

=> Pearl = 4926@

Here the given series 7, 11, 19, 35, ?

follows a pattern that (x 2 - 3) i.e,

7

7 x 2 - 3 = 11

11 x 2 - 3 = 19

19 x 2 - 3 = 35

35 x 2 - 3 = 67

67 x 2 - 3 = 131

Hence the next number in the given number series is 67.

ten = 3(number of letters)
nine = 4(number of letters)
sixty = 5(number of letters)
ninety = 6(number of letters)
seventy = 7(number of letters)
sixtysix = 8(number of letters)
ninetysix=96(number of letters)

Then, likwise choose the number which has 9 letters in its Spelling.