Value of $$ \sqrt{6+\sqrt {6+\sqrt {6+....}}}$$

The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is 

The difference between simple interest and compound interest on a certain sum at $$ 12{1\over2}$$ % for 3 years is Rs 125. Find the sum.

A and B can do a piece of work in 40 days and 30 days respectively. They worked together for 12 days after that B was replaced by C. the work finish in next 8 days. In how many days C can alone finish the work?

Direction : Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer
(A) If the data in statement I alone are sufficient to answer the question, while the data statement II alone are not sufficient to answer the question.
(B) If the data in Statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
(C) If the data in statement I alone or in Statement II alone are sufficient to answer the question.
(D) If the data in both the statement I and II are not sufficient to answer the question.
(E) If the data in both the statement I and II together are necessary to answer the question.

What is the mother’s present age?
I. Present ages of mother and child are in the ratio of 5:1 respectively.
II. Four years hence the ratio of the ages of mother and child will be 17:5 respectively.

If the difference of the compound interest and the simple interest on a sum of money for 3 years is Rs. 186. Find the sum of money, if the rate of interest in both cases be 10 % 

Direction: Study the following table carefully and answer the given questions. Table shows the of passed students in four schools and ratio between passed boys and girls among them. The ratio between failed boys and girls is reverse of passed ratio between them.

Find the ratio between the number of boys passed from School P and School Q. 

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:-