Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle ?

The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

If cot A = n/(n + 1) and cot B = 1/(2n + 1), then what is the value of cot (A + B)?

If 7x - (3/2) * (4x - 9) = 6.5, then the value of x is?

In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those studnets who passed in both the subjects ?

G is the centroid of ΔABC. If AG = BC, then measure of ∠BGC is

Rs. 782 is divided into 3 parts in the ratio 12:23:34, the first part is 

Find 150% of X, if X is the least number which when divided by 6, 7, 8, 9 and 12 leaves remainders 2, 3, 4, 5 and 8 respectively.