If $$ {x=a^{2\over3}-a^{-2\over3}}$$ then the value of $$ {x^{3}+3x}$$.

Direction: The following graph shows the number of boys and girls in Class V, Class VI, Class VII and Class VIII. Study the graph and answer the question.

What is the average number of girls in all the classes?

A merchant fixes the sale price of his goods at 15 % above the cost price. He sells his goods at 12 % less than the fixed price. His percentage of profit is: 

The value exponential form of   $$\sqrt {\sqrt{2}×{\sqrt{3}}}$$

If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be: 

The compound interest on Rs.16, 000 for 9 months at 20 % per annum, interest being compounded quarterly, is

Direction: Each of the questions consists of a question and two statements numbered I and II given below it. You have to decide whether the data provide 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 in statement II alone 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 all are not sufficient to answer the question;
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question;
(D) If the data even in both statements I and II together are not sufficient to answer the question;
(E) If the data in both statements I and II together are necessary to answer the question.

Five years ago, what was the ratio between the age of Sonu and Monu?
 I. Ratio between present age of Sonu and Monu is 3: 2.
II. Ratio between present age of Sonu and Ramu is 4 : 3.