Proportional Reasoning-2

Why is proportional reasoning important in mathematics?

1. It helps understand relationships between quantities and solve real-life problems.
2. It is used only for addition.
3. It has no practical applications.
4. It is only used in geometry.

If 20 machines complete a task in 6 hours, how long will 10 machines take?

1. 3 hours
2. 6 hours
3. 12 hours
4. 20 hours

A recipe for 4 people requires 2 cups of flour. How much flour is needed for 10 people?

1. 4 cups
2. 5 cups
3. 6 cups
4. 8 cups

If 12 pencils cost ₹96, what is the cost of 15 pencils?

1. ₹100
2. ₹110
3. ₹120
4. ₹150

A map uses a scale of 1 cm = 5 km. What distance is represented by 6 cm?

1. 15 km
2. 25 km
3. 30 km
4. 35 km

Which formula represents inverse proportion?

1. x/y = constant
2. x + y = constant
3. xy = constant
4. x - y = constant

Which formula represents direct proportion?

1. x + y = constant
2. x/y = constant
3. x × y = constant
4. x - y = constant

If 4 kg of rice costs ₹240, what is the cost of 7 kg rice?

1. ₹360
2. ₹420
3. ₹480
4. ₹520

If 5 books cost ₹400, what will be the cost of 8 books?

1. ₹500
2. ₹600
3. ₹640
4. ₹800

If 8 workers complete a job in 12 days, how many days will 12 workers take to complete the same job?

1. 6 days
2. 8 days
3. 10 days
4. 18 days

Which situation represents inverse proportion?

1. Number of items and total cost
2. Speed and time for a fixed distance
3. Quantity of food and number of people served
4. Distance and time at constant speed

A car travels 150 km in 3 hours. How far will it travel in 5 hours at the same speed?

1. 200 km
2. 225 km
3. 250 km
4. 300 km

Which of the following ratios forms a proportion with 4 : 6?

1. 6 : 8
2. 8 : 12
3. 10 : 15
4. Both B and C

If 3 : 5 = 6 : x, find the value of x.

1. 8
2. 10
3. 12
4. 15

What is a proportion?

1. A comparison of two numbers using addition
2. A statement that two ratios are equal
3. A number greater than another number
4. A multiplication rule