Quantitative Aptitude - Arithmetic Ability Questions

Given a -­ b = 2, a3 - b3=26 then (a + b)2 is

The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

A train 110 metres long is running with a speed of 60 kmph . In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

A cricketer, whose bowling average was 12.4 runs/wicket takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was:

What is the value of sec2θ + 1sec2θ - 1 x 12cotθ - tanθ ?

In the following question, select the related number from the given alternatives.

695 : 659 : : 839 : ?

Find out the odd word/letters/number/number pair from the given alternatives.