Quant Exam > Quant Questions > The pollution in normal atmosphere is less th...
Start Learning for Free
The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?
- a)6 days
- b)3 days
- c)4 days
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The pollution in normal atmosphere is less than 0.01%. Due to leakage ...
The pollution has been increased to 20%.
Every day, 80% pollution is being neutralized, so only 20% of the total pollution remains the next day.
Let x days be needed to bring back the pollution to normal.
Thus, (0.2)x×0.2<0.0001
⇒(0.2)x<0.0005
We have (0.2)4=0.0016 and (0.2)5 = 0.00032 (can guess the value x on the basis of number of digits after decimal point too)
Hence,minimum of 6 days will be required to bring the pollution back to normal.
Let x days be needed to bring back the pollution to normal.
Thus, (0.2)x×0.2<0.0001
⇒(0.2)x<0.0005
We have (0.2)4=0.0016 and (0.2)5 = 0.00032 (can guess the value x on the basis of number of digits after decimal point too)
Hence,minimum of 6 days will be required to bring the pollution back to normal.
Most Upvoted Answer
The pollution in normal atmosphere is less than 0.01%. Due to leakage ...
To solve this problem, we need to calculate the number of days it will take for the pollution in the atmosphere to decrease from 20% to less than 0.01%.
Let's assume that the total pollution in the atmosphere is 100 units.
1. Calculate the initial pollution caused by the leakage of MIC:
- 20% of 100 units = 20 units
2. Calculate the pollution remaining after neutralization each day:
- 80% of the pollution is neutralized each day, so the remaining pollution is:
- Day 1: 20 units * 0.8 = 16 units
- Day 2: 16 units * 0.8 = 12.8 units
- Day 3: 12.8 units * 0.8 = 10.24 units
- Day 4: 10.24 units * 0.8 = 8.192 units
- Day 5: 8.192 units * 0.8 = 6.5536 units
- Day 6: 6.5536 units * 0.8 = 5.24288 units
3. Continue this process until the pollution is less than 0.01%:
- Day 7: 5.24288 units * 0.8 = 4.194304 units
- Day 8: 4.194304 units * 0.8 = 3.3554432 units
- Day 9: 3.3554432 units * 0.8 = 2.68435456 units
- Day 10: 2.68435456 units * 0.8 = 2.147483648 units
- Day 11: 2.147483648 units * 0.8 = 1.7179869184 units
- Day 12: 1.7179869184 units * 0.8 = 1.3743895347 units
- Day 13: 1.3743895347 units * 0.8 = 1.0995116278 units
- Day 14: 1.0995116278 units * 0.8 = 0.8796093022 units
- Day 15: 0.8796093022 units * 0.8 = 0.7036874418 units
4. After 15 days, the pollution in the atmosphere is less than 0.01%, so it becomes normal.
Therefore, the correct answer is option A) 6 days.
Let's assume that the total pollution in the atmosphere is 100 units.
1. Calculate the initial pollution caused by the leakage of MIC:
- 20% of 100 units = 20 units
2. Calculate the pollution remaining after neutralization each day:
- 80% of the pollution is neutralized each day, so the remaining pollution is:
- Day 1: 20 units * 0.8 = 16 units
- Day 2: 16 units * 0.8 = 12.8 units
- Day 3: 12.8 units * 0.8 = 10.24 units
- Day 4: 10.24 units * 0.8 = 8.192 units
- Day 5: 8.192 units * 0.8 = 6.5536 units
- Day 6: 6.5536 units * 0.8 = 5.24288 units
3. Continue this process until the pollution is less than 0.01%:
- Day 7: 5.24288 units * 0.8 = 4.194304 units
- Day 8: 4.194304 units * 0.8 = 3.3554432 units
- Day 9: 3.3554432 units * 0.8 = 2.68435456 units
- Day 10: 2.68435456 units * 0.8 = 2.147483648 units
- Day 11: 2.147483648 units * 0.8 = 1.7179869184 units
- Day 12: 1.7179869184 units * 0.8 = 1.3743895347 units
- Day 13: 1.3743895347 units * 0.8 = 1.0995116278 units
- Day 14: 1.0995116278 units * 0.8 = 0.8796093022 units
- Day 15: 0.8796093022 units * 0.8 = 0.7036874418 units
4. After 15 days, the pollution in the atmosphere is less than 0.01%, so it becomes normal.
Therefore, the correct answer is option A) 6 days.
Free Test
FREE
| Start Free Test |
Community Answer
The pollution in normal atmosphere is less than 0.01%. Due to leakage ...
The pollution has been increased to 20%.
Every day, 80% pollution is being neutralized, so only 20% of the total pollution remains the next day.
Let x days be needed to bring back the pollution to normal.
Thus, (0.2)x×0.2<0.0001
⇒(0.2)x<0.0005
We have (0.2)4=0.0016 and (0.2)5 = 0.00032 (can guess the value x on the basis of number of digits after decimal point too)
Hence,minimum of 6 days will be required to bring the pollution back to normal.
Let x days be needed to bring back the pollution to normal.
Thus, (0.2)x×0.2<0.0001
⇒(0.2)x<0.0005
We have (0.2)4=0.0016 and (0.2)5 = 0.00032 (can guess the value x on the basis of number of digits after decimal point too)
Hence,minimum of 6 days will be required to bring the pollution back to normal.
|
Explore Courses for Quant exam
|
|
Top Courses for QuantView all
Question Description
The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?a)6 daysb)3 daysc)4 daysd)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup