Ratio & Proportion MCQ & Objective Questions
Understanding Ratio & Proportion is crucial for students preparing for exams in India. This topic not only forms a significant part of the curriculum but also appears frequently in various competitive exams. Practicing MCQs and objective questions on Ratio & Proportion enhances your problem-solving skills and boosts your confidence, ensuring you score better in your assessments.
What You Will Practise Here
Fundamentals of Ratio and Proportion
Types of Ratios: Simple, Compound, and Inverse Ratios
Proportional Relationships and their Applications
Solving Problems Involving Direct and Inverse Proportions
Key Formulas and Definitions Related to Ratios
Word Problems and Real-Life Applications of Ratios
Diagrams and Visual Representations of Ratios
Exam Relevance
Ratio & Proportion is a vital topic in the CBSE syllabus and is also included in various State Boards. Students can expect questions based on this concept in competitive exams like NEET and JEE. Typically, questions may involve solving for unknowns, applying ratios in real-life scenarios, or interpreting data presented in different forms. Familiarity with common question patterns will help you tackle these problems efficiently.
Common Mistakes Students Make
Confusing ratios with fractions and not understanding their differences.
Overlooking the importance of units when solving proportion problems.
Misinterpreting word problems, leading to incorrect setups of equations.
Neglecting to simplify ratios before solving, which can lead to complex calculations.
FAQs
Question: What are the basic properties of ratios?Answer: Ratios compare two quantities and can be simplified like fractions. They maintain the same value when both terms are multiplied or divided by the same non-zero number.
Question: How can I improve my skills in Ratio & Proportion?Answer: Regular practice of Ratio & Proportion MCQ questions and understanding the underlying concepts will significantly enhance your skills and confidence.
Don't wait any longer! Dive into our practice MCQs on Ratio & Proportion to test your understanding and excel in your exams. Every question you solve brings you one step closer to mastering this essential topic!
Q. A and B can complete a work in 12 days and 18 days respectively. In how many days can they complete the work together?
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Solution
A's work rate = 1/12, B's work rate = 1/18. Together, they work at (1/12 + 1/18) = 5/36. Therefore, time = 36/5 = 7.2 days.
Correct Answer:
A
— 7.2
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Q. A bag contains red and blue balls in the ratio of 3:2. If there are 30 balls in total, how many red balls are there?
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Solution
Let red balls be 3x and blue balls be 2x. Then, 3x + 2x = 30, 5x = 30, x = 6. Therefore, red balls = 3x = 3*6 = 18.
Correct Answer:
A
— 18
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Q. A bag contains red and blue balls in the ratio of 4:5. If there are 36 red balls, how many blue balls are there?
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Solution
Let red = 4x and blue = 5x. Given 4x = 36, x = 9. Therefore, blue = 5x = 5*9 = 45.
Correct Answer:
A
— 45
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Q. A car travels 120 km in 2 hours. How long will it take to travel 180 km at the same speed?
A.
2.5 hours
B.
3 hours
C.
3.5 hours
D.
4 hours
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Solution
Speed = 120 km / 2 hours = 60 km/h. Time = Distance / Speed = 180 km / 60 km/h = 3 hours.
Correct Answer:
B
— 3 hours
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Q. A car travels 120 km in 2 hours. How long will it take to travel 300 km at the same speed?
A.
4 hours
B.
5 hours
C.
6 hours
D.
7 hours
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Solution
Speed = 120 km / 2 hours = 60 km/h. Time = Distance / Speed = 300 km / 60 km/h = 5 hours.
Correct Answer:
B
— 5 hours
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Q. A car uses 10 liters of fuel to travel 100 km. How much fuel will it need to travel 250 km?
A.
20 liters
B.
25 liters
C.
30 liters
D.
35 liters
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Solution
Fuel consumption is 10 liters for 100 km, so for 250 km, it will need (250/100) * 10 = 25 liters.
Correct Answer:
B
— 25 liters
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Q. A car uses 5 liters of fuel to travel 100 km. How much fuel will it need to travel 250 km?
A.
10 liters
B.
12.5 liters
C.
15 liters
D.
20 liters
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Solution
5 liters for 100 km means 1 liter for 20 km. For 250 km, needed fuel = 250 / 20 = 12.5 liters.
Correct Answer:
B
— 12.5 liters
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Q. A car uses 8 liters of fuel to travel 100 km. How much fuel will it need to travel 250 km?
A.
16 liters
B.
18 liters
C.
20 liters
D.
22 liters
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Solution
Fuel consumption = 8 liters for 100 km, so for 250 km, needed fuel = (250/100) * 8 = 20 liters.
Correct Answer:
A
— 16 liters
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Q. A factory produces 300 gadgets in 4 hours. How many gadgets can it produce in 10 hours?
A.
600 gadgets
B.
750 gadgets
C.
900 gadgets
D.
1200 gadgets
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Solution
Rate = 300 gadgets / 4 hours = 75 gadgets/hour. In 10 hours, it produces 75 * 10 = 750 gadgets.
Correct Answer:
C
— 900 gadgets
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Q. A factory produces 300 gadgets in 4 hours. How many gadgets will it produce in 10 hours?
A.
600 gadgets
B.
750 gadgets
C.
900 gadgets
D.
1200 gadgets
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Solution
Rate = 300 gadgets / 4 hours = 75 gadgets/hour. In 10 hours, it produces 75 * 10 = 750 gadgets.
Correct Answer:
C
— 900 gadgets
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Q. A factory produces 500 toys in 10 hours. How many toys can it produce in 25 hours?
A.
1000 toys
B.
1250 toys
C.
1500 toys
D.
1750 toys
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Solution
If 500 toys are produced in 10 hours, then in 25 hours, it will produce 500 * (25/10) = 1250 toys.
Correct Answer:
B
— 1250 toys
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Q. A factory produces 500 toys in 10 hours. How many toys will it produce in 25 hours?
A.
1000 toys
B.
1250 toys
C.
1500 toys
D.
1750 toys
Show solution
Solution
If 500 toys are produced in 10 hours, then in 25 hours, it will produce (500/10) * 25 = 1250 toys.
Correct Answer:
B
— 1250 toys
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Q. A factory produces 500 toys in 10 hours. How many toys will it produce in 5 hours?
A.
200 toys
B.
250 toys
C.
300 toys
D.
400 toys
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Solution
500 toys in 10 hours means 50 toys per hour. In 5 hours, it will produce 50 * 5 = 250 toys.
Correct Answer:
B
— 250 toys
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Q. A recipe requires 2 cups of flour for 4 servings. How many cups of flour are needed for 10 servings?
A.
4 cups
B.
5 cups
C.
6 cups
D.
7 cups
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Solution
2 cups for 4 servings means 0.5 cups per serving. For 10 servings, 10 * 0.5 = 5 cups.
Correct Answer:
B
— 5 cups
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Q. A recipe requires 3 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?
A.
5 cups
B.
6 cups
C.
7 cups
D.
8 cups
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Solution
If 3 cups make 12 cookies, then 1 cup makes 4 cookies. For 30 cookies, needed cups = 30 / 4 = 7.5 cups, which rounds to 6 cups for practical purposes.
Correct Answer:
B
— 6 cups
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Q. A recipe requires 4 cups of flour to make 8 cookies. How many cups of flour are needed to make 20 cookies?
A.
8 cups
B.
10 cups
C.
12 cups
D.
15 cups
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Solution
4 cups for 8 cookies means 1 cup for 2 cookies. For 20 cookies, 20/2 = 10 cups.
Correct Answer:
B
— 10 cups
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Q. A recipe requires sugar and flour in the ratio of 2:3. If there are 12 cups of sugar, how many cups of flour are needed?
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Solution
Let sugar = 2x and flour = 3x. Given 2x = 12, x = 6. Therefore, flour = 3x = 3*6 = 18.
Correct Answer:
A
— 18
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Q. A recipe requires sugar and flour in the ratio of 2:3. If you have 12 cups of flour, how much sugar do you need?
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Solution
Let sugar be 2x and flour be 3x. Given 3x = 12, x = 4. Therefore, sugar = 2x = 2*4 = 8.
Correct Answer:
A
— 8
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Q. A recipe requires sugar and flour in the ratio of 2:3. If you have 12 cups of sugar, how many cups of flour do you need?
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Solution
Let sugar = 2x and flour = 3x. Given 2x = 12, x = 6. Therefore, flour = 3x = 3*6 = 18.
Correct Answer:
A
— 18
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Q. A tank can be filled by a pipe in 6 hours. How long will it take to fill the tank if two such pipes are used?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
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Solution
One pipe fills in 6 hours, so two pipes will fill in 6/2 = 3 hours.
Correct Answer:
B
— 3 hours
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Q. A tank can be filled by a pipe in 6 hours. How long will it take to fill the tank if two pipes are used?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
One pipe fills in 6 hours, so two pipes will fill in 6/2 = 3 hours.
Correct Answer:
B
— 3 hours
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Q. If 10 liters of paint can cover 200 square meters, how many liters are needed to cover 500 square meters?
A.
20 liters
B.
25 liters
C.
30 liters
D.
35 liters
Show solution
Solution
10 liters cover 200 m², so 1 liter covers 20 m². For 500 m², needed = 500 / 20 = 25 liters.
Correct Answer:
B
— 25 liters
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Q. If 10 students can complete a project in 15 days, how many days will it take for 5 students to complete the same project?
A.
20 days
B.
25 days
C.
30 days
D.
35 days
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Solution
Work = 10 students * 15 days = 150 student-days. For 5 students, days = 150 student-days / 5 students = 30 days.
Correct Answer:
C
— 30 days
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Q. If 10 workers can finish a job in 15 days, how many days will it take for 5 workers to finish the same job?
A.
30 days
B.
35 days
C.
40 days
D.
45 days
Show solution
Solution
If 10 workers take 15 days, then 5 workers will take 15 * 10 / 5 = 30 days.
Correct Answer:
C
— 40 days
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Q. If 12 apples cost $3, how much will 20 apples cost?
A.
$4.50
B.
$5.00
C.
$5.50
D.
$6.00
Show solution
Solution
Cost per apple = $3 / 12 apples = $0.25. For 20 apples, cost = 20 * $0.25 = $5.00.
Correct Answer:
B
— $5.00
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Q. If 12 men can complete a project in 30 days, how many men are needed to complete the project in 15 days?
A.
18 men
B.
24 men
C.
30 men
D.
36 men
Show solution
Solution
If 12 men take 30 days, then to complete in 15 days, we need 12 * (30/15) = 24 men.
Correct Answer:
B
— 24 men
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Q. If 12 men can complete a work in 20 days, how many men are required to complete the same work in 10 days?
A.
20 men
B.
24 men
C.
30 men
D.
36 men
Show solution
Solution
12 men take 20 days, so to finish in 10 days, we need 12 * 20 / 10 = 24 men.
Correct Answer:
B
— 24 men
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Q. If 15 kg of sugar costs $30, how much will 25 kg of sugar cost?
A.
$40
B.
$50
C.
$60
D.
$70
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Solution
Cost per kg = $30 / 15 kg = $2. For 25 kg, cost = 25 * $2 = $50.
Correct Answer:
C
— $60
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Q. If 15 students can complete a project in 20 days, how many students are needed to complete it in 10 days?
A.
30 students
B.
35 students
C.
40 students
D.
45 students
Show solution
Solution
If 15 students take 20 days, then to complete in 10 days, we need 15 * (20/10) = 30 students.
Correct Answer:
A
— 30 students
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Q. If 15 students can complete a project in 30 days, how many days will it take for 10 students to complete the same project?
A.
40 days
B.
45 days
C.
50 days
D.
60 days
Show solution
Solution
15 students * 30 days = 450 student-days. For 10 students, days = 450 / 10 = 45 days.
Correct Answer:
C
— 50 days
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