Quantitative Aptitude - Arithmetic Ability Questions

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

If (x - 13)2 + (y - 4)2 = 0, then the value of y + xy - x ?

A train crosses a 550 m long platform in 36 seconds. How long was the train if it was travelling at the speed of 70 kmph?

ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?

An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?