Quantitative Aptitude - Arithmetic Ability Questions

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

Find the greatest length which can be used to measure exactly three cloth pieces of lengths 1.26 m, 1.98 m and 1.62 m respectively.

If the value of √30  is approximately 5.477, then what is the approximate value of 56 ?

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

The points A(x,2), B(­2,1) and C(6,­3) are collinear. Find x?

To go a distance of 40 km upstream a rower takes 8 hours while it takes her only 5 hours to row the same distance downstream. What was the rower's speed in still water?

If Tan θ = 4/3, then what is the value of Sin θ?

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is