Quantitative Aptitude - Arithmetic Ability Questions

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

A train 100 m long is running at a speed of 120 kms/hr. The time taken to pass a person standing near the line is

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?

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