Each side of an equilateral triangle is 6 cm. Find its area.

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. What is the smallest number?

Directions: The following Pie Chart shows the export of different food grains from India in 2010. Study the chart and answer the questions:

Of the total export of foodgrains, the percentage of crop B exported is 

Direction: The following table shows the number of students of 7 colleges A, B, C, D, E, F, G participating in extra-curricular activities :

The difference of the number of students in activity IV and the number of students in activity III is – 

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

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.

What is the ratio between number of black and white balls in a box?
I. Number of black ball is 5 more than the number of white ball.
II. Number of white ball is 80% of the number of black balls.

A can do a piece of work in 15 days. B is 25% more efficient than A, and C is 40% more efficient than B. A and C work together for 3 days and then C leaves. A and B together will complete the work in:

As observed from the top of a light house, 120 √3 m above the sea level, the angle of depression of a ship sailing towards it changes from 30° to 60°. The distance travelled by the ship during the period of observation is: