Quantitative Aptitude - Arithmetic Ability Questions

A sum of Rs. 3000 amounts to Rs. 6000 in two years at compound interest. The interest for four years is

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

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?

If x3 – 4x2 + 19 = 6(x – 1), then what is the value of [x2 + (1/x – 4)]?

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given options.

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

Calculate the area (in cm2) of a circle of radius 17.5 cm.

What is the value of (cot30°+ 2/√3) ?