The length of diagonal of a square is $${15\sqrt { 2}}$$cm. Its area is

If $$ {x+{9\over x}=6}$$  then find the value of $$ {x^{2}+{1\over x^{3}}}$$

A certain number of men can complete a work in 17 days working 8 hour a day. If the number of people is decreased to 60%. Then, find in how many hrs in a day should the remaining people work to complete the work in 51/2 days?

The sum of the present ages of a father and son is 52 years. Four years hence, the son's age will be $${1\over 4}$$that of the father. What will be the ratio of the ages of the son and father, 10 years from now?

A and B started a business in partnership. The ratio between the investments of A and B was 5: 4. If A invested for 12 months and at the end of the year the ratio of prot was 15: 8, then for how much time B invested?

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 rate of interest p.c.pa?
I. The amount doubles itself in 10 years.
II. The simple interest accrued in 5 years in Rs 5,000.

A and B invested 1/2 and 1/3 of the total capital respectively, the remaining part C invested. If there is a profit of Rs. 9696 at the end of the year, then what is the profit of B?

(sec A + tan A – 1) (sec A – tan A+1) =?