Quantitative Aptitude - Arithmetic Ability Questions

To travel 648 km, an Express train takes 12 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 6 hours less than Rajdhani. The speed of Rajdhani is _____.

Find the square root of 1485961

The simplest value of 38-212+20318-227+45 is

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

If tan θ + cot θ = x, then what is the value of tan4θ + cot4θ?

If xy = -18 and x2+ y2= 85, then find the value of (x + y).

Two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?