Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [1 – sin (90 – 2A)] / [1 + sin (90 + 2A)]?

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

If x = 1/(√2+1) then the value of x2 + 2x - 1 is

A Number is increased by 20%. To get back to the orignal number, the increased number is to be reduced by

If P = 350 and Q = 600, then P is how much percentage less than Q?

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352. The sum lent at 8% is

5 litres of honey contains 80% sugar. 3 litres of water is added to this honey. What is the percentage of sugar in the new mixture?