Verbal Reasoning - Mental Ability Questions

Select the related word/letters/numbers from the given alternatives:
3 : 243 :: 5 : ?

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first  by its row and next by its column ,for example 'F' can be represented by 41,24 etc and 'V' can be represented by 57,78 etc. similarly,you have to identify the set for the word ''MOCK''.

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
6, 18, 54, ? , 486, 1458

Which of the following diagram represents the relationship among Tall men, Black haired, Indians?

In the following question, select the related letter pair from the given alternatives.PIR : OHQ : : ? : ?

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

2, 3, 7, 16, ?

P is the brother of Q. Q is the brother of R. P is the son of S. Based these three statements, much of the following statements cannot be definitely true?

In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.

53 ­ 34 = 5334
65 ­ 46 = 6456
75 ­ 24 = ?