Quantitative Aptitude - Arithmetic Ability Questions

If x+1x = 4, then what is the value of x6+1x6 ?

A man starts walking at 6.30 a.m. and wants to cover a distance of 30km. His initial speed is 6 kmph and after covering three-fifth distance, he reduces his speed by 2 kmph. At what time will he complete his walk?

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is

The slopes of two lines are 1 and √3. What is the angle between these two lines?

If tan π/3c + cosec π/6c = x, then x 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 cos 45° - ­ sec 30° = x, then value of x is