Quantitative Aptitude - Arithmetic Ability Questions

If x+1x=-2,then the value of x7+1x7

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?

Raj purchased two laptops, first for Rs 42500 and the second for Rs 36200. He sold first laptop at a profit of 12% and the second laptop at a loss of 12%.What is the overall profit or loss?

Two runners A and B start running at 12 km/hr and 16 km/hr towards each other. They meet after 1 hour and 30 minutes. How far (in km) were they from each other when they started?

What is the unit place digit in the expansion of  773?

The height of the equilateral triangle is 9 cm. What is the radius (in cm) of the circle circumscribing the three vertices?

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

S, T and U started a business by investing Rs 4200, Rs 6300 and Rs 8400 respectively. S left the business after 3 months, T left 6 months after the business had started and U remained in the business till one year. At the end of one year the total profit is Rs 6000. What is the U’s share (in Rs) in the profit?