In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?

If the curved surface area of a cylinder is 126π cm² and its height is 14 cm, what is the volume of the cylinder?

A basket contains 350 eggs. If 12% of the eggs are rotten, how many eggs are good enough to be sold?

A person borrows Rs.1,00,000 from a bank at 10% per annum simple interest and clears the debt in five years. If the instalment paid at the end of the first, second, third and fourth years to clear the debt are Rs.10,000, Rs.20,000, Rs.30,000 and Rs.40,000, respectively, what amount should be paid at the end of the fifth year to clear the debt?

3240, 540, 108, 27, ? , 4.5

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 two-digit number?
I. Sum of two digits equal to the difference between the digits.
II. Difference between them is 4. 

Directions : The graph shows the demand and production of different companies. Study the graph and answer the following questions.

The production of company A is approximately what percent of the demand of company C?

Read the following graph carefully and answer the related questions-

Total number of students (in thousands) participating in comitative exam in various cities.

What is the percentage of students appearing in competitive exam from city E to total number of students appearing for competitive exam from all the states?