Quantitative Aptitude - Arithmetic Ability Questions

If (a+1a)2=3,then the value of a6-1a6 will be

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

What is the value of sin (–π/3) + cos(–π/6)?

Slope of the line AB is -2/3. Co-ordinates of points A and B are (x , -3) and (5 , 2) respectively. What is the value of x?

Select the odd word/letters/number/number pair from the given alternatives.

Select the odd word/letters/number/number pair from the given alternatives.

An equilateral triangle has sides of 10 cm each. Find the ratio of in-radius to the circum-radius of the triangle.

Two trains are moving in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then what is the speed (in km/hr) of each train?