Quantitative Aptitude - Arithmetic Ability Questions

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

By increasing the price of entry ticket to a fair in the ratio 17:19, the number of visitors to the fair has decreased in the ratio 11:10. In what ratio has the total collection increased or decreased?

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

The sum of all prime numbers between 58 and 62 is

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?

Curved surface area of a cylinder is 1232 sq cm. If circumference of its base is 154 cm, then what will be the height of the cylinder? (Take π = 22/7)

If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?