Direction: Study the following information and answer the related questions. P, Q, R, S, T, A, B, C, D and E are employees of a company. A table shows the average age of any two employees of the company. The average age of A and B is 27.5.
i.e. average age of A & P is given as (A+P)/2=39.5

What is the ratio of ages of Q and E?

ΔPQR is right angled at Q. If cos P = 3/5, then what is the value of cos R?

What should come in place of the question mark '?' in the following number series?

77, 76, 84, 57, ?, – 4

Surekha borrowed a sum of money and returned it in two equal annual instalments of ₹5,547 each. If the rate of interest was $$7{1\over 2}\%$$ p.a. compounded yearly, then the total interest paid by her was:

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

In 64 liter of pure milk, 20 liter of water is mixed and then $$ {1\over 4}{th}$$ of the mixture is taken out. When x liter of water is added again then ratio of water to that of the milk becomes 1:2. Find value of x?

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?

Raju ate $$3\over 8$$part of a pizza and Adam ate $$3\over 10$$ part of the remaining pizza. Then Renu ate $$4\over 7$$ part of the pizza that was left. What fraction of the pizza is still left?