Proportional Reasoning-2 — Important Questions
CBSE · Class 8 · Mathematics
55 important questions from Proportional Reasoning-2 for CBSE Class 8 Mathematics, with answers. Includes multiple choice and true false questions.
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Important Questions from Proportional Reasoning-2
A school has provisions for 80 students for 15 days. If 20 more students join, how many days will the provisions last?
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12 days
More students mean fewer days, so use inverse proportion. Total student-days = 80 × 15 = 1200. For 100 students, days = 1200 ÷ 100 = 12 days.
5 workers can move 4500 bricks in a day. How many workers are needed to move 18000 bricks in a day?
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20 workers
This is direct proportion. Use the rule of three: 4500 : 18000 :: 5 : x. So x = (18000 × 5) ÷ 4500 = 20 workers.
2 pumps fill a tank in 18 hours. How long will 4 pumps of the same kind take to fill the same tank?
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9 hours
Pumps and time are inversely proportional. Product stays constant: 2 × 18 = 4 × x. So x = 36 ÷ 4 = 9 hours.
The ratio of students scoring grades A, B, C, D, and E is 12:10:8:6:4. What is the simplest form of this ratio?
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6:5:4:3:2
Divide every term by the HCF, which is 2. So 12:10:8:6:4 becomes 6:5:4:3:2.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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