Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

468.02 + 79.91 ÷ 5.01 = ?²

A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm²) of the third ball?

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) 6x² – 11x + 4 = 0
 (ii) 3y² – 5y + 2 = 0

The ratio of the first and second class train fares between two stations is 3: 1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1: 50. If on a particular day. 1,325 are collected from passengers travelling between the two stations. Then the amount collected from the second class passengers is

Directions : The bar graph, given here, shows the demand and production of colour televisions of five companies for Diwali season in the year 2009. Study the graph carefully and answer the questions based on the graph.

The production of colour televisions of company D is how many times that of company A ?

If sin²θ - 3sinθ + 2=0, the find the value of θ(0⁰≤ θ≤90⁰)

In an examination, 45% of all the students who appeared are boys and the rest are girls. If 60% of the boys and 70% of the girls passed, then what is the percentage of students who failed?

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. 2x + 3y = 52
II. 5x – 2y = 16