AB is a chord of a circle in minor segment with center O.C is a point on the minorarc of the circle between the points A and B. The tangents to the circle at A and B meet at the point P. If ∠ACB = 102⁰ , then what is the measure of ∠APB?

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

Find the greatest value of k for which the 6-digit number 24312k is divisible by 6.

Directions: The pie– chart shows the proposed outlay for different sectors during a Five–Year plan of Government of India. Total outlay is Rs. 40,000 crores. By reading the pie–chart answer the following three questions.

What is the ratio between the proposed outlay of Irrigation and Communication?

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)

(16.05)² + (8.96)² - 7.03 × 3.98 =? + 197.99

Study the graphs to answer these questions.
The pie chart shows the percentage of graduate employees in various department of M/S XYZ limited.
The employees in various departments of M/S. XYZ limited. Other than graduate employees are those employees who are either post graduate or undergraduates.

What is the median of number of graduate employees in Production, Marketing, Planning and Finance departments? 

$$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$

If the radius of a circle is increased by 15% its area increases by _____.