Mathematics Objective Questions and Answers: Chapter 08 Comparing Quantities
Access targeted multiple-choice questions for Chapter 08 Comparing Quantities designed to align with the latest CBSE academic syllabus for Class 7 Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.
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Multiple Choice Questions
(a) 30%
(b) 15%
(c) 35%
(d) 25%
Show Answer & Explanation
Answer: (a) 30%
Explanation:
1. 15/50 × 100 = 30%.
Teacher's Note:
1. Percentage = part ÷ whole × 100.
2. Total is 50.
(a) \( \frac{17}{20} \)
(b) \( \frac{425}{100} \)
(c) \( \frac{17}{50} \)
(d) \( \frac{17}{40} \)
Show Answer & Explanation
Answer: (d) \( \frac{17}{40} \)
Explanation:
1. 42.5% = 42.5/100 = 425/1000.
2. Divide by 25: 17/40.
Teacher's Note:
1. Remove the decimal by multiplying numerator and denominator by 10.
2. Divide by 25 to simplify.
(a) 0.38
(b) 0.038
(c) 0.0038
(d) 3.8
Show Answer & Explanation
Answer: (c) 0.0038
Explanation:
1. 0.38% = 0.38/100 = 0.0038.
Teacher's Note:
1. Divide by 100 to change a percentage into a decimal.
2. Move the decimal point two places left.
(a) \( 5\% \)
(b) \( 5\frac{5}{7}\% \)
(c) \( 6\% \)
(d) \( 5\frac{1}{7}\% \)
Show Answer & Explanation
Answer: (b) \( 5\frac{5}{7}\% \)
Explanation:
1. Change = 370000 - 350000 = 20000.
2. Percentage increase = 20000 ÷ 350000 × 100 = 40/7 = 5 5/7 %.
Teacher's Note:
1. Percentage increase = change ÷ original × 100.
2. The original value is the base.
(a) 37.5
(b) 375
(c) 25
(d) 35
Show Answer & Explanation
Answer: (a) 37.5
Explanation:
1. 15/100 × 250 = 37.5.
Teacher's Note:
1. Convert the percentage to a fraction and multiply.
2. 15% = 0.15.
(a) 60 seconds
(b) 6 minutes
(c) 3.6 seconds
(d) 36 seconds
Show Answer & Explanation
Answer: (d) 36 seconds
Explanation:
1. 1 hour = 3600 seconds, and 1% of 3600 = 36 seconds.
Teacher's Note:
1. Convert to seconds first.
2. 1% means one hundredth.
(a) 0.5%
(b) 5%
(c) 2%
(d) 20%
Show Answer & Explanation
Answer: (c) 2%
Explanation:
1. Decrease = 500; 500/25000 × 100 = 2%.
Teacher's Note:
1. Percentage decrease = decrease ÷ initial value × 100.
2. Take the initial population as the base.
(a) 70%
(b) 30%
(c) 20%
(d) 40%
Show Answer & Explanation
Answer: (b) 30%
Explanation:
1. 100 - 30 - 40 = 30%.
Teacher's Note:
1. The whole population is 100%.
2. Subtract the known shares.
(a) 12%
(b) 3%
(c) 30%
(d) 25%
Show Answer & Explanation
Answer: (a) 12%
Explanation:
1. Total parts = 25; carbon is 3/25 = 12%.
Teacher's Note:
1. Add the parts to get the total.
2. Percentage = part ÷ total × 100.
(a) 12 g
(b) 30 g
(c) 75 g
(d) 25 g
Show Answer & Explanation
Answer: (d) 25 g
Explanation:
1. 3 g is 3 parts of 25, so the whole stick weighs 3 × 25 ÷ 3 = 25 g.
Teacher's Note:
1. Each part weighs 1 g.
2. Total parts are 25.
(a) 50%
(b) 0.5%
(c) 5%
(d) 20%
Show Answer & Explanation
Answer: (c) 5%
Explanation:
1. 3 m = 300 cm, and 15/300 × 100 = 5%.
Teacher's Note:
1. Convert both quantities to the same unit.
2. Then use part ÷ whole × 100.
(a) 4.2%
(b) 42%
(c) 40%
(d) 45%
Show Answer & Explanation
Answer: (b) 42%
Explanation:
1. 33.6/80 × 100 = 42%.
Teacher's Note:
1. Divide the part by the whole and multiply by 100.
2. 33.6 ÷ 80 = 0.42.
(a) 2 kg
(b) 20 kg
(c) 0.2 kg
(d) 3 kg
Show Answer & Explanation
Answer: (a) 2 kg
Explanation:
1. 3 1/8 % = 25/8 %.
2. (25/8) ÷ 100 × 64 = 2 kg.
Teacher's Note:
1. Convert the mixed number to an improper fraction.
2. 1/8 of 25 = 25/8.
(a) Rs. 90,000
(b) Rs. 14,10,000
(c) Rs. 7,50,000
(d) Rs. 7,05,000
Show Answer & Explanation
Answer: (d) Rs. 7,05,000
Explanation:
1. Donation = 6% of 15,00,000 = 90,000.
2. Remainder = 15,00,000 - 90,000 = 14,10,000.
3. Daughter's share = 14,10,000 ÷ 2 = 7,05,000.
Teacher's Note:
1. Find the donation first.
2. Split the remainder into two equal parts.
(a) 68%
(b) 30%
(c) 32%
(d) 28%
Show Answer & Explanation
Answer: (c) 32%
Explanation:
1. Saving = 4800, and 4800/15000 × 100 = 32%.
Teacher's Note:
1. Saving = income - expenditure.
2. Percentage is taken on the income.
(a) 113.017 crore
(b) 114.921 crore
(c) 130.1 crore
(d) 115.7 crore
Show Answer & Explanation
Answer: (b) 114.921 crore
Explanation:
1. Increase = 1.7% of 113 = 1.921 crore, so the new population is 114.921 crore.
Teacher's Note:
1. New value = old value + increase.
2. Do not forget to add the increase.
(a) Rs. 2,750
(b) Rs. 11,500
(c) Rs. 3,250
(d) Rs. 2,250
Show Answer & Explanation
Answer: (a) Rs. 2,750
Explanation:
1. 10 quintals = 1000 kg.
2. S.P. = 1000 × 11.50 = 11,500.
3. Profit = 11,500 - 8,750 = 2,750.
Teacher's Note:
1. 1 quintal = 100 kg.
2. Profit = S.P. - C.P.
(a) Rs. 240
(b) Rs. 156
(c) Rs. 96
(d) Rs. 84
Show Answer & Explanation
Answer: (d) Rs. 84
Explanation:
1. Number of pencils = 12 × 10 = 120.
2. S.P. = 120 × 2 = 240.
3. Profit = 240 - 156 = 84.
Teacher's Note:
1. There are 120 pencils in all.
2. Profit = S.P. - C.P.
(a) a profit of Rs. 21,000
(b) a loss of Rs. 21,000
(c) neither profit nor loss
(d) a profit of Rs. 1,000
Show Answer & Explanation
Answer: (c) neither profit nor loss
Explanation:
1. Total C.P. = 89,000 + 21,000 = 1,10,000 = S.P.
Teacher's Note:
1. Overhead expenses are added to the cost price.
2. Compare total C.P. with S.P.
(a) 10%
(b) 20%
(c) 16 2/3 %
(d) 120%
Show Answer & Explanation
Answer: (b) 20%
Explanation:
1. Profit = 100; 100/500 × 100 = 20%.
Teacher's Note:
1. Profit percent is always calculated on C.P.
2. Profit = 600 - 500 = 100.
(a) \( 16\frac{2}{3}\% \)
(b) \( 20\% \)
(c) \( 15\% \)
(d) \( 12\frac{1}{2}\% \)
Show Answer & Explanation
Answer: (a) \( 16\frac{2}{3}\% \)
Explanation:
1. Loss = 100; 100/600 × 100 = 50/3 = 16 2/3 %.
Teacher's Note:
1. Loss percent is calculated on C.P.
2. Loss = 600 - 500 = 100.
Free study material for Mathematics
Multiple Choice Questions (MCQs) for Class 7 Mathematics Chapter 08 Comparing Quantities
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