GATE Questions

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Her the given number series is 11, 17, 39, 85, ?

$$\begin{gathered} 11 \\ 11 + 32 - 3 = 17 \\ 17 + (52 - 3) = 39 \\ 39 + (72 - 3) = 85 \\ 85 + (92 - 3) = 163 \end{gathered}$$

Hence, the next number in the given sequence is 163.

Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.

Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.

Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1. 

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

If we consider the given numbers  6, 4, 9, 10, 11 to be the month number then we can easily find the killer.

6 – June – J

4 – April – A

9 – September – S

10 – October – O

11 – November – N

Hence the answer is JOEL.

Goose can Honk without using a Horn. Geese are waterfowl of the family Anatidae.

Here the given number series follows a pattern of two alternate series.

1. 7 19 31 ...(Difference of 12)

2. 9 18 27 ...(Difference of 9)

Here the odd number is 29 instead of 27

And the next number is 31 + 12 = 43 & 27 + 9 = 36