In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

A shopkeeper marked the article 30 % above the cost price. And he gives a discount of 20 % on the M.R.P. find his profit percentage?

Direction: what should come in place at question mark(?).

$$ {4\over 7}×{2{4\over 5}÷{2\over 5}=?}$$

The ratio of present ages of Ratna and Shantanu is 5:4. After 19 years, the ratio of their ages will be 10:9. What is Ratna's present age?

A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm³ , then the weight of the pipe is closest to:

In what ratio does the point T (x, 0) divide the segment joining the points S ( -4, -1 ) and U ( 1,4 )? 

Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.
Give answer (A) if the statement A alone is sufficient to answer the question, but statement B alone is not sufficient.
Give answer (B) if the statement B alone is sufficient to answer the question, but statement A alone is not sufficient.
Give answer (C) if both statements A and B together are needed to answer the question.
Give answer (D) if either the statements A alone or statement B alone is sufficient to answer the question
Give answer (E) if you cannot get the answer from the statements A and B together, but need even more data.

What is the number?
A. 20% of that number is one fifth of that number.
B. 5/6th of that number is less than that number by 15.

The line graph shows the number of vacancies of accountants in a certain company. Study the diagram and answer the following questions.

Between which two years is the rate of decrement in vacancies is maximum?