Quantitative Aptitude - Arithmetic Ability Questions

A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?

If pq(p+q) = 1, then the value of 1p3q3-p3-q3 is equal to

If a+b=3 then the value of a3+b3+9ab-­27 is

Ifx4 + (1/x4) = 34, then what is the value of x3 – (1/x3)?

In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in sq.cm) of triangle SQU?

To travel 732 km, an Express train takes 6 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed of Rajdhani is

A man buys a table and a chair for Rs. 500. He sells the table at a loss of 10% and the chair at a gain of 10%. He still gains Rs.10 on the whole. The cost price of chair in rupees is

If 2A = 3B = 8C; What is A : B : C?