Quantitative Aptitude - Arithmetic Ability Questions

What is the value of tan 7π/4?

What is the value of z2+1z2 when z = 5+26 ?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

If θ is acute angle and sin(θ+18°)= 1/2, then the value of θ in circular measure is

Determine the value of ‘r’ for which the equation 13x + 5 = rx + 18 has no solution.

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?

Pipe A can empty a filled tank in 28 hours while Pipe B can fill the same tank, when empty in 35 hrs. If alternatively Pipes A and B are turned on for an hour each time, starting when the tank is full, how long will it take to empty the tank?

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?