The total age of a mother and her son is 60 years. The difference between their ages is 30 years. Find out the age of the mother.

A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input: go now 53 39 18 for again 66
Step 1 : 66 go now 53 39 18 for again
Step 2 : 66 again go now 53 39 18 for
Step 3 : 66 again 53 go now 39 18 for
Step 4 : 66 again 53 for go now 39 18
Step 5 : 66 again 53 for 39 go now 18
Step 6 : 66 again 53 for 39 go 18 now

Input: trees 18 27 desk are 91 hour zero 31 16 chairs.
Which of the following will be step 4?

Statement: 

Is pen mightier than a sword?

Arguments: 

I. Yes, writers influence the thinking of the people. 

II. No, with the help of physical force one can conquer all. 

248 : 3 : : 328 : ?

In a solid cube made up of 27 small cubes, two opposite sides yellow and two other side white. How many small cubes have the colours yellow and white alone in them?

Statements
E=F˂G˂H
G ≥ I        
Conclusions I. H˃I
                    II. E≥I

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which the given conclusion logically follows the given statements. 

Statements: 

Some schools are Laboratories. 

All Laboratories are theatres. 

Conclusion: 

I. Some theatres are schools. 

II. No school is a theatre. 

Find the missing number?