Quantitative Aptitude - Arithmetic Ability Questions

What is the altitude of an equilateral triangle whose side is 12 cm?

A man starts walking at 6.30 a.m. and wants to cover a distance of 30km. His initial speed is 6 kmph and after covering three-fifth distance, he reduces his speed by 2 kmph. At what time will he complete his walk?

If cos 45° - ­ sec 30° = x, then value of x is

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?

The value of Cot17°Cot73°Cos222° + 1Cot17°Sec268° is

The slopes of two lines are 1 and √3. What is the angle between these two lines?

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

The area of a right angled triangle ABC, right angled at B, is 46 sq units. A median is drawn from A to BC which intersects at D. Find the area (in sq. units)of triangle ABD.