Quantitative Aptitude - Arithmetic Ability Questions

θ is a positive acute angle and sinθ ­ cosθ = 0, then the value of secθ + cosecθ is

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If a+bab=21 ,  then the value of (a-b) is

The area of a triangle with vertices A (0, 8) , O (0,0) and B (5, 0) is:

Which one among the following does not belong to the group?

What will be the roots of the quadratic equation x2 - 25x + 156 = 0?

If {12(a-b)}2+ab=p(a+b)2, then the value of p is 

Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?