CBSE Class 7 Mathematics Percentage MCQs Set 19

Download CBSE MCQs for Class 7 Mathematics: Chapter 08 Comparing Quantities

Review structured MCQ sets for Class 7 Mathematics Chapter 08 Comparing Quantities. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.

Chapter-wise Objective Questions: Chapter 08 Comparing Quantities

Access the complete set of multiple-choice questions for Chapter 08 Comparing Quantities below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official CBSE textbooks.

Multiple Choice Questions

Question 1: The simplest form of the ratio 60 : 90 is:
(a) 3 : 2
(b) 2 : 3
(c) 6 : 9
(d) 1 : 2
Show Answer & Explanation

Answer: (b) 2 : 3

Explanation:
1. HCF of 60 and 90 is 30; dividing both terms by 30 gives 2 : 3.

Teacher's Note:
1. Divide both terms by their HCF to reach the simplest form.
2. A ratio is in simplest form when the HCF of its terms is 1.

Question 2: The ratio 60 paise : Rs. 3 in simplest form is:
(a) 1 : 5
(b) 1 : 50
(c) 1 : 3
(d) 2 : 5
Show Answer & Explanation

Answer: (a) 1 : 5

Explanation:
1. Rs. 3 = 300 paise.
2. 60 : 300 = 1 : 5.

Teacher's Note:
1. Bring both quantities to the same unit before forming the ratio.
2. Then divide by the HCF.

Question 3: The ratio 2 years : 10 months in simplest form is:
(a) 1 : 5
(b) 5 : 12
(c) 2 : 10
(d) 12 : 5
Show Answer & Explanation

Answer: (d) 12 : 5

Explanation:
1. 2 years = 24 months.
2. 24 : 10 = 12 : 5.

Teacher's Note:
1. Convert to months first.
2. 24 and 10 have HCF 2.

Question 4: The ratio 65 g : 1 kg in simplest form is:
(a) 13 : 20
(b) 65 : 1
(c) 13 : 200
(d) 1 : 65
Show Answer & Explanation

Answer: (c) 13 : 200

Explanation:
1. 1 kg = 1000 g.
2. 65 : 1000 = 13 : 200.

Teacher's Note:
1. Convert kg to g first.
2. HCF of 65 and 1000 is 5.

Question 5: Which ratio is greater, 3 : 7 or 4 : 9?
(a) 3 : 7
(b) 4 : 9
(c) They are equal
(d) Cannot be compared
Show Answer & Explanation

Answer: (b) 4 : 9

Explanation:
1. LCM of 7 and 9 is 63.
2. 3/7 = 27/63 and 4/9 = 28/63.
3. 28 > 27, so 4 : 9 is greater.

Teacher's Note:
1. Write the ratios as fractions with a common denominator.
2. The fraction with the larger numerator is greater.

Question 6: Which ratio is greater, 3 : 4 or 2 : 3?
(a) 3 : 4
(b) 2 : 3
(c) They are equal
(d) Cannot be compared
Show Answer & Explanation

Answer: (a) 3 : 4

Explanation:
1. 3/4 = 9/12 and 2/3 = 8/12.
2. 9 > 8, so 3 : 4 is greater.

Teacher's Note:
1. Compare as fractions with the same denominator.
2. Common denominator 12.

Question 7: Are 45, 60, 30, 40 in proportion?
(a) No, because 45 × 40 is not equal to 60 × 30
(b) No, because 45 : 60 is not equal to 30 : 40
(c) Yes, because 45 + 40 = 60 + 30
(d) Yes, because 45 × 40 = 60 × 30
Show Answer & Explanation

Answer: (d) Yes, because 45 × 40 = 60 × 30

Explanation:
1. Extremes: 45 × 40 = 1800.
2. Means: 60 × 30 = 1800.
3. The products are equal, so the numbers are in proportion.

Teacher's Note:
1. Four numbers are in proportion when product of extremes = product of means.
2. Also 45 : 60 = 3 : 4 = 30 : 40.

Question 8: Which set of four numbers is in proportion?
(a) 43, 55, 65, 170
(b) 450, 400, 350, 300
(c) 84, 42, 44, 22
(d) 7, 6, 49, 36
Show Answer & Explanation

Answer: (c) 84, 42, 44, 22

Explanation:
1. 84 × 22 = 1848 and 42 × 44 = 1848: equal.
2. 43 × 170 = 7310 but 55 × 65 = 3575: not equal.
3. 450 × 300 = 135000 but 400 × 350 = 140000: not equal.
4. 7 × 36 = 252 but 6 × 49 = 294: not equal.

Teacher's Note:
1. Check product of extremes against product of means for each set.
2. In 7, 6, 49, 36: 7 × 36 = 252 but 6 × 49 = 294.

Question 9: The cost of 20 kg of milk is Rs. 500. The cost of 59 kg of milk is:
(a) Rs. 1250
(b) Rs. 1475
(c) Rs. 1500
(d) Rs. 1180
Show Answer & Explanation

Answer: (b) Rs. 1475

Explanation:
1. Cost of 1 kg = 500 ÷ 20 = Rs. 25.
2. Cost of 59 kg = 59 × 25 = Rs. 1475.

Teacher's Note:
1. Use the unitary method: find the cost of one unit first.
2. Then multiply by the required quantity.

Question 10: A bus travels 440 km in 8 hours. The time it takes to travel 385 km at the same speed is:
(a) 7 hours
(b) 6 hours
(c) 7.5 hours
(d) 8.5 hours
Show Answer & Explanation

Answer: (a) 7 hours

Explanation:
1. Speed = 440 ÷ 8 = 55 km/h.
2. Time = 385 ÷ 55 = 7 hours.

Teacher's Note:
1. Find the speed first.
2. Time = distance ÷ speed.

Question 11: A bus travels 440 km in 8 hours. The distance it covers in \( 6\frac{1}{2} \) hours is:
(a) 330 km
(b) 385 km
(c) 352 km
(d) 357.5 km
Show Answer & Explanation

Answer: (d) 357.5 km

Explanation:
1. Speed = 440 ÷ 8 = 55 km/h.
2. Distance = 55 × 6.5 = 357.5 km.

Teacher's Note:
1. Speed is 55 km/h.
2. 6 1/2 hours = 6.5 hours.

Question 12: The first, second and fourth terms of a proportion are 141, 75 and 25. The third term is:
(a) 45
(b) 50
(c) 47
(d) 42
Show Answer & Explanation

Answer: (c) 47

Explanation:
1. Let the third term be x: 75 × x = 141 × 25.
2. x = 3525 ÷ 75 = 47.

Teacher's Note:
1. Product of means = product of extremes.
2. Means are 75 and x; extremes are 141 and 25.

Question 13: Shreyansh earns Rs. 1500 per month and saves Rs. 250. The ratio of his savings to his expenditure is:
(a) 1 : 6
(b) 1 : 5
(c) 1 : 4
(d) 5 : 1
Show Answer & Explanation

Answer: (b) 1 : 5

Explanation:
1. Expenditure = 1500 - 250 = 1250.
2. 250 : 1250 = 1 : 5.

Teacher's Note:
1. Expenditure is income minus savings.
2. Divide both terms by 250.

Question 14: The value of x for which 16 : 8 :: 7 : x is a proportion is:
(a) 3.5
(b) 14
(c) 3
(d) 4
Show Answer & Explanation

Answer: (a) 3.5

Explanation:
1. 16x = 8 × 7 = 56.
2. x = 56 ÷ 16 = 3.5.

Teacher's Note:
1. Product of extremes = product of means.
2. Extremes: 16 and x; means: 8 and 7.

Question 15: The value of x for which 36 : 45 :: 16 : 2x is a proportion is:
(a) 20
(b) 5
(c) 8
(d) 10
Show Answer & Explanation

Answer: (d) 10

Explanation:
1. 36 × 2x = 45 × 16.
2. 72x = 720, so x = 10.

Teacher's Note:
1. Equate product of extremes with product of means.
2. Remember the last term is 2x, not x.

Question 16: If p : q = 2 : 3, then 6p : 2q is:
(a) 1 : 2
(b) 3 : 2
(c) 2 : 1
(d) 1 : 1
Show Answer & Explanation

Answer: (c) 2 : 1

Explanation:
1. Let p = 2k and q = 3k.
2. 6p : 2q = 12k : 6k = 2 : 1.

Teacher's Note:
1. Express p and q through a common multiple.
2. Then substitute into the new ratio.

Question 17: The sides of a triangle are 4.2 cm, 4.9 cm and 6.3 cm. The ratio of the lengths of the sides is:
(a) 4 : 5 : 6
(b) 6 : 7 : 9
(c) 2 : 3 : 4
(d) 3 : 4 : 5
Show Answer & Explanation

Answer: (b) 6 : 7 : 9

Explanation:
1. 4.2 : 4.9 : 6.3 = 42 : 49 : 63.
2. Divide each term by 7: 6 : 7 : 9.

Teacher's Note:
1. Remove decimals first, then divide by the HCF.
2. HCF of 42, 49, 63 is 7.

Question 18: Two angles of a triangle are 54 degrees and 72 degrees. The ratio of the third angle to the sum of the first two is:
(a) 3 : 7
(b) 1 : 2
(c) 2 : 1
(d) 7 : 3
Show Answer & Explanation

Answer: (a) 3 : 7

Explanation:
1. Third angle = 180 - (54 + 72) = 54 degrees.
2. Ratio = 54 : 126.

Teacher's Note:
1. The angle sum of a triangle is 180 degrees.
2. Compute carefully before dividing by the HCF.

Question 19: Express 7/20 as a percentage.
(a) 3.5%
(b) 70%
(c) 7.2%
(d) 35%
Show Answer & Explanation

Answer: (d) 35%

Explanation:
1. 7/20 × 100 = 35%.

Teacher's Note:
1. Multiply the fraction by 100 to get a percentage.
2. 7/20 = 35/100.

Question 20: 0.625 expressed as a percentage is:
(a) 6.25%
(b) 625%
(c) 62.5%
(d) 0.625%
Show Answer & Explanation

Answer: (c) 62.5%

Explanation:
1. 0.625 × 100 = 62.5%.

Teacher's Note:
1. Multiply a decimal by 100 to convert it to a percentage.
2. Move the decimal point two places right.

Question 21: Express 22/44 as a percentage:
(a) 22%
(b) 50%
(c) 44%
(d) 25%
Show Answer & Explanation

Answer: (b) 50%

Explanation:
1. 22/44 = 1/2, and 1/2 × 100 = 50%.

Teacher's Note:
1. Simplify the fraction first.
2. 1/2 = 50%.

Free study material for Mathematics

Download Chapter MCQs: Class 7 Mathematics Chapter 08 Comparing Quantities

Download Multiple Choice Questions: Chapter 08 Comparing Quantities (Class 7 Mathematics)

Test your conceptual understanding of Chapter 08 Comparing Quantities with these targeted multiple-choice questions. Designed in alignment with the latest CBSE curriculum for Class 7 Mathematics, these problem sets build accuracy and prepare students for objective exams.

Concept Clarification for Chapter 08 Comparing Quantities

Built using the official NCERT book for Class 7, these Mathematics objective sets provide reliable academic guidance. Pair your practice with our recommended NCERT solutions to master optimal problem-solving approaches.

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