Find the area of the circle formed in an equilateral triangle of side 42 cm. Using (π=22/7)

Two years ago, the ratio of the age (in years) at A and B was 2:3. The ratio of their respective ages, three years from now, will be 3:5. What will be the ratio of respective ages of A and B, 6 years from now?

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.

 In how many days can be B alone complete the work?
I. B and C together can complete the work in 8 days.
II. A and B together can complete the work in 12 days.

The average expenditure of a man for the first five months of a year is Rs. 5,000 and for the next seven months is Rs. 2,300 during a year. His average monthly expenditure is : 

If $$ {tan3A=cot{(2A+40)}}$$ then find the value of $$ {tan^2{3A}}+{cot^{4}3A}$$.

By selling 25 m of cloth a man gains the selling price of 5 m of cloth. Find the gain percent?

How many number are there from 700 to 950 (Including both) which are neither divisible by 3 nor by 7?

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm. and the total height of the toy is 10.2 cm., find the volume of the wooden toy (nearly).