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Curriculum-aligned learning paths for students in Classes 6-12.

CBSE
Class 8
Mathematics
Ganita Prakash Part II
Proportional Reasoning-2
Question Bank

Question Bank - Proportional Reasoning-2

Practice Hub

Question Bank: Proportional Reasoning-2

Structured practice

Question Bank - Proportional Reasoning-2

Q1.

What is the ratio of urad dal to rice in a mixture of 2 cups of rice and 1 cup of urad dal?

Single Answer MCQ
Q-00133667
View explanation
Q2.

If 6 cups of rice are mixed with 3 cups of urad dal, what is the simplified ratio of rice to urad dal?

Single Answer MCQ
Q-00133668
View explanation
Q3.

Which of the following ratios is proportional to 4:2?

Single Answer MCQ
Q-00133669
View explanation
Q4.

Are the mixtures of 6:3 and 4:2 proportional?

Single Answer MCQ
Q-00133670
View explanation
Q5.

If a mixture has a ratio of 5:3, how many cups of a substance A are required for 12 cups of substance B?

Single Answer MCQ
Q-00133671
View explanation
Q6.

What is the relationship between the ratios a:b and c:d if they are proportional?

Single Answer MCQ
Q-00133672
View explanation
Q7.

If the ratio of x:y is equal to the ratio of 15:20, what is x when y = 10?

Single Answer MCQ
Q-00133673
View explanation
Q8.

Which of the following statements best defines proportional relationships?

Single Answer MCQ
Q-00133674
View explanation
Q9.

What is the equivalent ratio of 1:4 when both parts are multiplied by 3?

Single Answer MCQ
Q-00133675
View explanation
Q10.

For the mixtures 8:2 and 4:1, are they proportional?

Single Answer MCQ
Q-00133676
View explanation
Q11.

What value of y makes the ratio 2:y equivalent to 6:9?

Single Answer MCQ
Q-00133677
View explanation
Q12.

When mixing ingredients, which scenario represents a common mistake regarding ratios?

Single Answer MCQ
Q-00133678
View explanation
Q13.

If 5:15 and 2:x are proportional, what is the value of x?

Single Answer MCQ
Q-00133679
View explanation
Q14.

Which of the following describes a proportional relationship in real life?

Single Answer MCQ
Q-00133680
View explanation
Q15.

In every proportional relationship, what holds true regarding their ratios?

Single Answer MCQ
Q-00133681
View explanation
Q16.

What is the ratio of 4 cm on a map representing 20 km?

Single Answer MCQ
Q-00133682
View explanation
Q17.

If a map has a scale of 1:200, how many centimeters on the map correspond to 1 km in reality?

Single Answer MCQ
Q-00133683
View explanation
Q18.

A 10 cm line on the map represents a distance of 5 km. What is the scale of the map?

Single Answer MCQ
Q-00133684
View explanation
Q19.

If a map scale is 1:100, how far in real distance does 30 cm on the map represent?

Single Answer MCQ
Q-00133685
View explanation
Q20.

A road on a map is represented by a length of 15 cm. If the map's scale is 1:1200, what is the actual length of the road?

Single Answer MCQ
Q-00133686
View explanation
Q21.

If two locations are 60 km apart in reality and mapped as 12 cm using scale 1:500, what is the ratio of map distance to real distance?

Single Answer MCQ
Q-00133687
View explanation
Q22.

A scale on a map reads 1:25000. How many kilometers does 4 cm on the map represent?

Single Answer MCQ
Q-00133688
View explanation
Q23.

If two areas are represented as 3:5 on a map, which of the following ratios is equivalent in terms of proportion?

Single Answer MCQ
Q-00133689
View explanation
Q24.

Which of the following does NOT represent a proportional relationship?

Single Answer MCQ
Q-00133690
View explanation
Q25.

A map shows a distance of 2 cm representing 50 km. What is the map's scale?

Single Answer MCQ
Q-00133691
View explanation
Q26.

On a map, if the distance is 8 cm when the actual distance is 4 km, then what is the unit scale of the map?

Single Answer MCQ
Q-00133692
View explanation
Q27.

For real distances of 30 km, how many centimeters would this be on a map with a scale of 1:25000?

Single Answer MCQ
Q-00133693
View explanation
Q28.

If the distance between two towns on a map is 20 cm and the scale is 1:1200, what is the actual distance?

Single Answer MCQ
Q-00133694
View explanation
Q29.

In a given map, if 1 cm represents 1 km, what is represented by 5 cm?

Single Answer MCQ
Q-00133695
View explanation
Q30.

If the ratio of apples to oranges to bananas is 3:4:5, what fraction of the total fruits are oranges?

Single Answer MCQ
Q-00133696
View explanation
Q31.

In the ratio 5:10:15, what is the simplest form?

Single Answer MCQ
Q-00133697
View explanation
Q32.

Which of the following ratios is equivalent to 8 : 12?

Single Answer MCQ
Q-00133698
View explanation
Q33.

If the ratio of boys to girls in a class is 2:3 and there are 18 girls, how many boys are there?

Single Answer MCQ
Q-00133699
View explanation
Q34.

The ratio of three numbers is 4:5:6. If the sum of these numbers is 150, find the second number.

Single Answer MCQ
Q-00133700
View explanation
Q35.

If the ratio of two quantities a:b is 4:9, and a = 20, what is the value of b?

Single Answer MCQ
Q-00133701
View explanation
Q36.

A recipe requires a ratio of flour to sugar as 2:1. If you use 6 cups of flour, how much sugar is needed?

Single Answer MCQ
Q-00133702
View explanation
Q37.

In a fruit basket, the ratio of apples to grapes to oranges is 1:2:3. If there are 18 oranges, how many total fruits are there?

Single Answer MCQ
Q-00133703
View explanation
Q38.

The ratio of smart to average to slow learners is 5:3:2. If there are 100 students total, how many are average learners?

Single Answer MCQ
Q-00133704
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Q39.

Which of the following ratios represents a proportional relationship with 7:14:21?

Single Answer MCQ
Q-00133705
View explanation
Q40.

Suppose the ratio a:b:c is 1:4:x. If x is 10, what is the ratio of a to b?

Single Answer MCQ
Q-00133706
View explanation
Q41.

If the ratio of x to y is 3:5 and the ratio of y to z is 5:7, what is the ratio of x to z?

Single Answer MCQ
Q-00133707
View explanation
Q42.

In a batch of 40 students, the ratio of boys to girls is 1:3. How many boys are there?

Single Answer MCQ
Q-00133708
View explanation
Q43.

If 30 fruits are divided in the ratio 3:2, how many fruits does the first part receive?

Single Answer MCQ
Q-00133709
View explanation
Q44.

In a class of 25 students, the ratio of boys to girls is 4:1. How many girls are there?

Single Answer MCQ
Q-00133710
View explanation
Q45.

A sum of $120 is divided between A and B in the ratio 2:3. How much does B receive?

Single Answer MCQ
Q-00133711
View explanation
Q46.

A recipe requires 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how much sugar will you need?

Single Answer MCQ
Q-00133712
View explanation
Q47.

If 50% of a cake is shared in the ratio 1:4, how much of the cake does each person get?

Single Answer MCQ
Q-00133713
View explanation
Q48.

You have a rope that is 36 meters long and you want to cut it in the ratio 1:2. How long is the longer piece?

Single Answer MCQ
Q-00133714
View explanation
Q49.

A horse and a cow are fed hay in the ratio of 3:2. If the horse consumes 12 kg of hay, how much hay does the cow consume?

Single Answer MCQ
Q-00133715
View explanation
Q50.

In a race between X and Y, the ratio of their speeds is 5:3. If Y runs at 15 m/s, what is X's speed?

Single Answer MCQ
Q-00133716
View explanation
Q51.

A number is divided into 4 parts in the ratio 2:3:4:5. If the total number is 180, what is the value of the largest part?

Single Answer MCQ
Q-00133717
View explanation
Q52.

A bag contains red and blue marbles in the ratio of 3:5. If there are 40 marbles in total, how many are blue?

Single Answer MCQ
Q-00133718
View explanation
Q53.

In a survey, the ratio of girls to boys is 4:3. If there are 56 girls, how many boys are there?

Single Answer MCQ
Q-00133719
View explanation
Q54.

A piece of fruit is divided in the ratio 1:3. If the whole fruit weighs 800 grams, what is the weight of the larger piece?

Single Answer MCQ
Q-00133720
View explanation
Q55.

If 15 students participated in a quiz and the ratio of correct to incorrect answers is 4:11, how many correct answers were there?

Single Answer MCQ
Q-00133721
View explanation
Q56.

In a fruit basket, apples and oranges are in the ratio of 2:1. If there are 30 apples, how many oranges are there?

Single Answer MCQ
Q-00133722
View explanation
Q57.

A school is dividing 60 kg of chocolates among students in the ratio 2:5. How many kg does the first group get?

Single Answer MCQ
Q-00133723
View explanation
Q58.

If 5 workers can complete a task in 10 days, how long will it take 10 workers to complete the same task?

Single Answer MCQ
Q-00133724
View explanation
Q59.

A car travels 60 km in 1 hour. How long will it take to travel 180 km at the same speed?

Single Answer MCQ
Q-00133725
View explanation
Q60.

If the number of drivers doubles, how does the time taken to complete a marathon change?

Single Answer MCQ
Q-00133726
View explanation
Q61.

If 3 machines can produce 120 items in 4 hours, how many items will 6 machines produce in the same time?

Single Answer MCQ
Q-00133727
View explanation
Q62.

Which of the following is an example of inverse proportion?

Single Answer MCQ
Q-00133728
View explanation
Q63.

What is the ratio of rice to urad dal if 6 cups of rice are mixed with 3 cups of urad dal?

Single Answer MCQ
Q-00133729
View explanation
Q64.

If the price of apples increases, what happens to the quantity purchased assuming budget constraints?

Single Answer MCQ
Q-00133730
View explanation
Q65.

If the ratio of rice to urad dal is 2:1, how much urad dal is needed for 10 cups of rice?

Single Answer MCQ
Q-00133731
View explanation
Q66.

John takes 4 hours to complete a research report alone. If he works with 2 friends, how long will it take them to finish the report together?

Single Answer MCQ
Q-00133732
View explanation
Q67.

Are the ratios 4:2 and 10:5 proportional?

Single Answer MCQ
Q-00133733
View explanation
Q68.

If a car can travel 300 km using 15 liters of fuel, how far can it travel using 30 liters of fuel?

Single Answer MCQ
Q-00133734
View explanation
Q69.

Which of the following ratios is equivalent to 3:4?

Single Answer MCQ
Q-00133735
View explanation
Q70.

Which equation best represents the relationship for inverse proportion?

Single Answer MCQ
Q-00133736
View explanation
Q71.

If 5 cups of fruit juice are mixed with 3 cups of water, what is the total ratio of juice to the total liquid?

Single Answer MCQ
Q-00133737
View explanation
Q72.

Two people finish a project in 20 days. How long will it take 5 people to finish the same project?

Single Answer MCQ
Q-00133738
View explanation
Q73.

If 2:3 is the ratio of red to blue marbles, how many blue marbles are there if there are 10 red marbles?

Single Answer MCQ
Q-00133739
View explanation
Q74.

If the distance a vehicle travels is inversely proportional to the speed, what happens if the speed doubles?

Single Answer MCQ
Q-00133740
View explanation
Q75.

What is the simplest form of the ratio 18:24?

Single Answer MCQ
Q-00133741
View explanation
Q76.

A tank fills up with water in 40 minutes using 2 taps. How long will it take to fill up using 5 taps?

Single Answer MCQ
Q-00133742
View explanation
Q77.

If two ratios a:b and c:d are said to be proportional, which of the following equations must hold true?

Single Answer MCQ
Q-00133743
View explanation
Q78.

In a fixed budget, if the cost of an item goes up, what can be inferred about the number of items that can be bought?

Single Answer MCQ
Q-00133744
View explanation
Q79.

Which of these ratios is not equivalent to 1:2?

Single Answer MCQ
Q-00133745
View explanation
Q80.

How does the workload change if 4 machines can finish a task in 6 hours? How long would it take 2 machines?

Single Answer MCQ
Q-00133746
View explanation
Q81.

For a proportion of 5:2, if the first value is 15, what is the corresponding second value?

Single Answer MCQ
Q-00133747
View explanation
Q82.

If the ratio of boys to girls in a class is 3:5 and there are 12 boys, how many students are in the class?

Single Answer MCQ
Q-00133748
View explanation
Q83.

Which of these proportions correctly shows that 8:12 is equivalent to 2:3?

Single Answer MCQ
Q-00133749
View explanation
Q84.

If a recipe calls for 4 parts flour to 1 part sugar, how much sugar is needed for 20 parts flour?

Single Answer MCQ
Q-00133750
View explanation
Q85.

A mixture of 10 liters has a ratio of water to juice as 3:7. How many liters of water are in the mixture?

Single Answer MCQ
Q-00133751
View explanation
Q86.

If a proportion of 15:25 is reduced, which fraction represents the simplified ratio?

Single Answer MCQ
Q-00133752
View explanation
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