Quantitative Aptitude - Arithmetic Ability Questions

If tan π/3c + cosec π/6c = x, then x is

For triangle PQR, find equation of altitude PS if co­-ordinates of P, Q and R are (6,2), (0,3) and (­-4,5) respectively?

A discount of 45% on an article is equal to the discount of 65% on other article. What is the respective ratio of the marked price of both the articles?

The ratio of salary of X, Y and Z is 15 : 3 : 8. If Z gets Rs. 3960 more than Y, then what is the salary (in Rs.) of X?

If xy+yz+zx = 1, then the value of (1+y2)(x+y)(y+z) ?

XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm then the circumradius of ∆XYZ is

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

Sharmi starts from Pune and Ritesh starts from Mumbai to meet each other. The Speed of Sharmi is 37 kmph, while the speed of Ritesh is 41 kmph. If the distance between Pune and Mumbai be 234 km and both Sharmi and Ritesh start their journey at the same time, when they will meet?