Quantitative Aptitude - Arithmetic Ability Questions

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?

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?

If cos 135° = x, then the value of x is

ΔABC is right angled at B. If m∠A = 45 deg, then find the value of (tanC + √3/2).

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

Reflection of the point (4,-5) in the y-axis is

If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?