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Class 8 Maths
Fractions in Disguise Chapter 8 Quiz 4
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At 10% interest per annum compounded annually, a deposit of ₹6000 grows for 3 years with interest added back each year. What total amount is received at the end of 3 years?
0%
₹7920
0%
₹7960
0%
₹7986
0%
₹8100
Bank of Wahapur offers an interest of 5% per annum. For a deposit of ₹20,000 for 4 years, which pair of totals is correct when compounding is not done annually versus when compounding is done annually?
0%
₹24,000 without compounding; ₹24,310.13 with compounding
0%
₹24,000 without compounding; ₹24,200 with compounding
0%
₹24,500 without compounding; ₹24,000 with compounding
0%
₹24,310.13 without compounding; ₹24,000 with compounding
Do you observe anything interesting in the solutions of the two questions above? Which statement best explains the difference between compounding and not compounding at a fixed annual rate?
0%
With compounding, interest each year grows because interest is earned on previous interest; without compounding, the interest earned each year stays the same
0%
Both give exactly the same interest every year and the totals are equal
0%
Without compounding, interest grows faster than with compounding because the principal increases every year
0%
Compounding and not compounding both decrease the interest earned over time
The population of Bengaluru in 2025 is about 250% of its population in 2000. If the population in 2000 was 50 lakhs, what is the population in 2025?
0%
50 lakhs
0%
100 lakhs
0%
125 lakhs
0%
150 lakhs
The population of the world in 2025 is about 8.2 billion. Germany has a population of 83 million. What is Germany’s approximate percentage share of the world population?
0%
1%
0%
2%
0%
4%
0%
8%
The population of the world in 2025 is about 8.2 billion. India has a population of 1.46 billion. What is India’s approximate percentage share of the world population?
0%
10%
0%
13%
0%
18%
0%
35%
The population of the world in 2025 is about 8.2 billion. Bangladesh has a population of 175 million. What is Bangladesh’s approximate percentage share of the world population?
0%
0.1%
0%
1%
0%
2%
0%
10%
The population of the world in 2025 is about 8.2 billion. The USA has a population of 347 million. What is USA’s approximate percentage share of the world population?
0%
2%
0%
4%
0%
8%
0%
13%
A shopkeeper initially set the price of a product with a 35% profit margin. Due to poor sales, he decided to offer a 30% discount on the selling price. Will he make a profit or a loss?
0%
Profit of 4.5%
0%
Loss of 5.5%
0%
No profit, no loss
0%
Profit of 5.5%
What percentage of the area of the square is occupied by the region marked ‘E’ in the given figure?
0%
2%
0%
4%
0%
5%
0%
8%
Consider these pairs: 5% of 40 and 40% of 5; 25% of 12 and 12% of 25; 15% of 60 and 60% of 15. What general statement best describes what you notice?
0%
x% of y is always greater than y% of x.
0%
x% of y equals y% of x.
0%
x% of y equals (x+y)% of x.
0%
x% of y equals x% of (x+y).
A school is organising an excursion for its students. 40% of them are Grade 8 students and the rest are Grade 9 students. Among the Grade 8 students, 60% are girls. What percentage of the students going to the excursion are Grade 8 girls?
0%
18%
0%
24%
0%
36%
0%
60%
A school is organising an excursion for its students. 40% of them are Grade 8 students and the rest are Grade 9 students. Among the Grade 8 students, 60% are girls. If the total number of students going to the excursion is 160, how many of them are Grade 8 girls?
0%
32
0%
38
0%
38.4
0%
48
A shopkeeper sells pencils at a price such that the selling price of 3 pencils is equal to the cost of 5 pencils. Does he make a profit or a loss, and what is the percentage?
0%
Profit of 40%
0%
Profit of 50%
0%
Profit of 66%
0%
Loss of 66%
The bus fares were increased by 3% last year and by 4% this year. What is the overall percentage increase in the last 2 years?
0%
7%
0%
7.12%
0%
7.5%
0%
8%
If the length of a rectangle is increased by 10% and the area remains unchanged, by what percentage (exactly) does the breadth decrease?
0%
9%
0%
9.09%
0%
10%
0%
11%
Three shops sell the same items at the same price. The shops offer deals as follows: Shop A: “Buy 1 and get 1 free”; Shop B: “Buy 2 and get 1 free”; Shop C: “Buy 3 and get 1 free”. If the price of one item is ₹100, which arrangement from cheapest to costliest correctly lists the effective price per item?
0%
A
0%
B
0%
C
0%
A
Suppose you need 4 items. Which shop’s deal is the most cost-effective?
0%
Shop A
0%
Shop B
0%
Shop C
0%
All are equally cost-effective
In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to bring that percentage down to 98%?
0%
1
0%
2
0%
25
0%
50
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