Quantitative Aptitude - Arithmetic Ability Questions

The height of a tower is 50√3 m. The angle of elevation of a tower from a distance 50 m from its feet is

A hollow hemispherical bowl is made of silver with its outer radius 8 cm and inner radius 4 cm respectively. The bowl is melted to form a solid right circular cone of radius 8 cm. The height of the cone formed is

Two fractions are such that their product is ­9/10 and sum is ­13/40. What are the two fractions.

A factory buys 7 machines. 2 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 56000, Rs 45000 and Rs 30000 respectively. Calculate the average cost of these machines.

The amount of extension in a spring is proportional to the weight hung on it. If the weight of 5 kgs produces an extension of 0.4 cm, what weight would produce an extension of 5cm?

A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area (in sq cm) of the circle?

What is the slope of the line parallel to the line passing through the points (-­4,­-6) and (2,­-3)?

If 5x - 1 < 3x + 2 and 5x + 5 > 6 - 2x; then x can take which of the following values?