AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If ∠CAB = 34°, then measure of ∠CBA is

If the radius of the base of a right circular cylinder is increased by 20% and the height is decreased by 30%, then what is the percentage increase/decrease in the volume?

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x²+ 2x – 15 = 0

II. y²+ 16y + 55 = 0

If the numerical value of thes perimeter of an equilateral triangle is  $$ \sqrt {3}$$ times the area of it, then the length of each side of the triangle is

Evaluate the following:
5 - [96 ÷ 4 of 3 - (16 - 55 ÷ 5)]

Directions: Read the pie chart carefully and answer the following questions.

Note: No new employees joined the given banks of left the given banks from January 2015 to December 2015.

In January 2015, 32% of the total number of scale I officers in Banks B, D, and E together were unmarried. If the respective ratio between the number of unmarried officers in these banks was 3 : 2 : 3, what was the number of unmarried Scale I officers in Bank D?

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 2x³ = $$ \sqrt {256}$$
 (ii) 2y² – 9y + 10 = 0

Two equal vessels are filled with the mixture of water and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be