150 students are studying English, Maths or both. 62 per cent of students study English and 68 per cent are studying Maths. How many students are studying both?

The simple interest on a certain sum for 2.5 years at 12 per cent per annum is Rs 300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.

Designing a Healthy Diet

When you design your healthy diet, you want to make sure that you meet the dietary requirements to help you grow into a healthy adult. As you plan your menu, follow the following guidelines

1. Calculate your ideal weight as per your height from the table given at the end of this question.

2. An active child should eat around 55.11 calories for each kilogram desired weight.

3. 55 per cent of calories should come from carbohydrates. There are 4 calories in each gram of carbohydrates.

4. 15 per cent of your calories should come from proteins. There are 4 calories in each gram of proteins.

5. 30 per cent of your calories may come from fats. There are 9 calories in each gram of fat.

Following is an example to design your own healthy diet.

Example

1. Ideal weight = 40 kg.

2. The number of calories needed = 40 × 55.11 = 2204.4

3. Calories that should come from carbohydrates

= 2204.4 × 0.55 = 1212.42 calories.

Therefore, required quantity of carbohydrates

4. Calories that should come from proteins

= 2204.4 × 0.15 = 330.66 calories.

Therefore, required quantity of protein

5. Calories that may come from fat = 2204.4 × 0.3 = 661.3 calories.

Therefore, required quantity of fat

Questions

1. Your ideal desired weight is _________ kg.

2. The quantity of calories you need to eat is _______.

3. The quantity of protein needed is _______g.

4. The quantity of fat required is _________ g.

5. The quantity of carbohydrates required is __________ g.

Earth Science: The table lists the world’s 10 largest deserts.

A. What are the mean, median and mode of the areas listed?

B. How many times the size of the Gobi Desert is the Namib Desert?

C. What percentage of the deserts listed are in Asia?

D. What percentage of the total area of the deserts listed is in Asia?

Geography Application: Earth’s total land area is about 148428950 km². The land area of Asia is about 30 per cent of this total. What is the approximate land area of Asia to the nearest square km?