Quantitative Aptitude - Arithmetic Ability Questions

The angles of depression of two ships from the top of a light house are 45° and 30° toward east. If the ships are 200m apart, the height of the light house is (take √3=1.73)

Dodecahedron has 20 vertices. How many edges does it have?

X and Y started a business by investing Rs 171000 and Rs 243000 respectively. If X’s share in the profit earned at the end of year is Rs 3800, then what will be the total profit (in Rs) earned by them together?

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is

The standard deviation of the set {10, 11, 12, 9, 8} is

The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is