P can do a piece of work in 60 days & Q can do the same work in 50 days. Find the ratio of working efficiencies of P to Q.

A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the area of triangle and parallelogram is______. 

A vessel contains some mixture of Water and Alcohol in the ratio 2 ∶ 1. 12 liters of mixture is removed and replaced with water and the final ratio becomes 4: 1. What is the amount of Alcohol in the initial Mixture?

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

I.
II.  

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

In which year maximum vacancies produced?

If the circumradius of an equilateral triangle ABC is 8 cm, then what is the height of the triangle?

A circle is inscribed in a equilateral triangle of side 24 cm. What is the area ( in cm²) of a square inscribed in the circle?

The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. The simple interest on the same sum at the same rate and for the same time is-