Quantitative Aptitude - Arithmetic Ability Questions

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

20% discount is offered on an item. By applying a promo code the customer wins 10% cash back. What is the effective discount?

If 2x-y2+(3y-2z)2=0,then the ratio of x:y:z is

If sinC - sinD = x, then value of x is

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

A can paint a house in 45 days and B can do it in 15 days. Along with C, they did the job in 5 days only. Then, C alone can do the job in how many days?

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

A train travelling at the speed of 66 kmph crosses a 300 m long platform in 24 seconds. How long was the train?