Quantitative Aptitude - Arithmetic Ability Questions

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

What is the reflection of the point (6, -1) in the line y = 2?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

The angle of elevation of the top of a tower from two horizontal points (in opposite sides) at distances of 25 meter and 64 meter from the base of tower are x and 90° - x respectively . The height of the tower will be

Find the circumference (in cm) of a circle of radius 17.5 cm.

A 600 metres long train is running at the speed of 81 km/hr. If it crosses a platform in 40 seconds, then what is the length of the platform (in metres)?

A factory buys 10 machines. 2 Machine­A, 3 Machine­B and rest Machine­C. Prices of the machines are Rs 95000, Rs 60000 and Rs 50000 respectively. What is the average cost of these machines?