Classify the following sets as empty set, finite set or infinite set:The set of prime numbers is less than one crore.

One card from the pack is drawn at random from 52 cards. What is the probability of getting a king or a queen?

A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 30°. A girl standing on the roof of a 20m high building finds the angle of elevation of the same bird to be 45°. Both the boy and the girl are on opposite sides of the bird. Find the distance of the bird from the girl.

• (a) 44.62m
• (b) 52.35m
• (c) 36.92m
• (d) 42.42m

To find how many two-digit numbers are divisible by 4, we first identify the range of two-digit numbers, which is from 10 to 99.

The smallest two-digit number divisible by 4 is 12, and the largest is 96.

Next, we can find the sequence of two-digit numbers that are divisible by 4:

• 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96

To find how many numbers are in this list, we can use the formula for the nth term of an arithmetic sequence:

The first term (a) is 12, and the common difference (d) is 4.

The last term (l) is 96.

We can use the formula:

n = (l - a) / d + 1

Substituting the values:

n = (96 - 12) / 4 + 1 = 84 / 4 + 1 = 21 + 1 = 22

Therefore, there are 22 two-digit numbers that are divisible by 4.

The length of the wall is 8m and height is 4m. Wall is 35 cm thick. There is one door of size 2m × 1m and two windows of size 1.2m × 1m. Find the expenditure of making the wall at the rate of Rs. 1500 per cubic meter.

Draw a percentage bar graph for the following data:

• Divisions
• A: 36 out of 65
• B: 42 out of 56
• C: 27 out of 54
• D: 23 out of 50