Q. A student scores 80, 85, and 90 in three subjects. What score must he achieve in the fourth subject to have an average of 85?
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Solution
Mean = (80 + 85 + 90 + x) / 4 = 85.\n\n255 + x = 340\n\nx = 340 - 255 = 85.
Correct Answer: B — 85
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Q. A student wins a competition and receives a cash prize of $800. If he donates 10% of it to charity, how much does he keep?
A.
$720
B.
$740
C.
$760
D.
$780
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Solution
Donation = 10% of $800 = $80. Amount kept = $800 - $80 = $720.
Correct Answer: A — $720
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Q. A student wins a grant of $2500 and decides to save 25% of it. How much does he save? (2022)
A.
$500
B.
$600
C.
$700
D.
$800
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Solution
Amount saved = 0.25 * 2500 = $625.
Correct Answer: A — $500
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Q. A student wins a grant of $2500 and spends 25% on books. How much does he spend on books? (2022)
A.
$500
B.
$600
C.
$700
D.
$800
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Solution
Amount spent on books = 25% of 2500 = 0.25 * 2500 = $625.
Correct Answer: A — $500
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Q. A student won a medal worth $3000. If the medal's value increases by 15% after a year, what will be its new value?
A.
$3450
B.
$3600
C.
$3300
D.
$3150
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Solution
New value = $3000 + (15/100 * 3000) = $3000 + $450 = $3450.
Correct Answer: A — $3450
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Q. A student won a scholarship of $2500. If he donates 10% of it to charity, how much does he donate?
A.
$200
B.
$250
C.
$300
D.
$350
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Solution
Amount donated = 10% of 2500 = 0.1 * 2500 = $250.
Correct Answer: B — $250
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Q. A student won an award worth $5000. If he spends 20% of it on books, how much money does he have left?
A.
$4000
B.
$4500
C.
$3500
D.
$3000
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Solution
Amount spent on books = 20% of 5000 = 0.2 * 5000 = $1000. Amount left = 5000 - 1000 = $4000.
Correct Answer: B — $4500
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Q. A study finds that students who take breaks during study sessions retain information better. What can be inferred from this study?
A.
All students should take breaks to improve retention.
B.
Taking breaks is the only way to retain information.
C.
Some students may not benefit from taking breaks.
D.
Breaks have no impact on information retention.
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Solution
The study indicates a benefit to taking breaks, but does not imply that all students will experience the same level of benefit.
Correct Answer: C — Some students may not benefit from taking breaks.
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Q. A study found that individuals who volunteer regularly report higher levels of happiness. What can be inferred from this study?
A.
Volunteering is the only source of happiness.
B.
People who are happy are more likely to volunteer.
C.
Regular volunteering may lead to increased happiness.
D.
Happiness has no connection to volunteering.
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Solution
The study indicates a potential link where regular volunteering may contribute to higher levels of happiness.
Correct Answer: C — Regular volunteering may lead to increased happiness.
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Q. A study shows that people who consume more fruits and vegetables tend to have better health outcomes. What can be inferred from this study?
A.
Eating fruits and vegetables guarantees better health.
B.
There is a correlation between diet and health outcomes.
C.
All healthy people eat a lot of fruits and vegetables.
D.
Fruits and vegetables are the only factors affecting health.
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Solution
The study indicates a correlation but does not imply causation or that diet is the only factor affecting health.
Correct Answer: B — There is a correlation between diet and health outcomes.
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Q. A study shows that people who consume more fruits and vegetables tend to have lower rates of chronic diseases. What can be inferred from this study?
A.
Eating fruits and vegetables prevents chronic diseases.
B.
All healthy individuals eat a lot of fruits and vegetables.
C.
There is a correlation between diet and health outcomes.
D.
Chronic diseases are caused by poor diet alone.
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Solution
The study indicates a correlation between diet and health, but does not establish causation or imply that all healthy individuals have the same diet.
Correct Answer: C — There is a correlation between diet and health outcomes.
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Q. A study shows that students who study in groups perform better than those who study alone. Which of the following can be inferred?
A.
Group study is the only effective way to learn.
B.
All students should study in groups.
C.
Studying alone is ineffective.
D.
Group study may enhance understanding and retention.
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Solution
The study indicates a benefit to group study, suggesting it may enhance understanding and retention, but does not claim it is the only method or that all students should use it.
Correct Answer: D — Group study may enhance understanding and retention.
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Q. A study shows that students who take breaks during study sessions retain information better. What can be concluded?
A.
Taking breaks is the only way to improve retention.
B.
All students should take breaks while studying.
C.
Breaks may enhance information retention.
D.
Studying without breaks is ineffective.
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Solution
The study suggests that breaks may enhance retention, but it does not claim that breaks are the only method or that all students must take them.
Correct Answer: C — Breaks may enhance information retention.
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Q. A study shows that students who take breaks during study sessions retain information better. What can be inferred from this study?
A.
Taking breaks is the only way to improve retention.
B.
All students should take breaks while studying.
C.
Breaks may enhance information retention.
D.
Studying without breaks is ineffective.
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Solution
The study indicates that breaks may enhance retention, but it does not claim that breaks are the only method to improve retention.
Correct Answer: C — Breaks may enhance information retention.
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Q. A subsidy scheme allocates ₹1,00,000 for 4 projects. If one project receives ₹30,000, what percentage of the total budget does this project consume?
A.
20%
B.
25%
C.
30%
D.
35%
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Solution
Percentage consumed = (₹30,000 / ₹1,00,000) * 100 = 30%.
Correct Answer: C — 30%
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Q. A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
If the principal is P, then at the end of 5 years, the amount is 2P. Simple Interest = Amount - Principal = 2P - P = P. Rate = (SI / (P * Time)) * 100 = (P / (P * 5)) * 100 = 20%.
Correct Answer: A — 10%
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Q. A sum of money doubles itself in 5 years at simple interest. What will be the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
If the principal is P, then the amount after 5 years = P + 5 * (P * r/100) = 2P. This gives r = 20%.
Correct Answer: A — 10%
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Q. A sum of money invested at a certain rate of compound interest becomes three times in 10 years. What is the rate of interest?
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Using the formula for compound interest, A = P(1 + r)^t. If A = 3P, then 3 = (1 + r)^10. Solving for r gives approximately 15%.
Correct Answer: B — 15%
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Q. A sum of money invested at compound interest becomes $1500 in 2 years and $1800 in 3 years. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
The interest for the third year is $300 (1800 - 1500). The principal for the second year is $1500, so the rate is (300/1500) * 100 = 20%.
Correct Answer: B — 12%
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Q. A sum of money invested at compound interest becomes $1600 in 2 years and $1764 in 3 years. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
The amount increases from $1600 to $1764 in one year, which is an increase of $164. The rate can be calculated as (164/1600) * 100 = 10.25%, which rounds to approximately 12%.
Correct Answer: B — 12%
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Q. A sum of money invested at compound interest becomes $8000 in 5 years. If the rate of interest is 10% per annum, what was the principal amount?
A.
$5000
B.
$6000
C.
$7000
D.
$7500
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Solution
Using A = P(1 + r)^n, we have 8000 = P(1 + 0.10)^5. Solving gives P ≈ $5000.
Correct Answer: A — $5000
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Q. A sum of money invested at compound interest grows to $1500 in 2 years and to $1800 in 3 years. What is the rate of interest?
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Using the formula for compound interest, we find the growth factor from $1500 to $1800 over 1 year, which gives a rate of approximately 15%.
Correct Answer: B — 15%
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Q. A sum of money invested at compound interest grows to $5000 in 3 years. If the rate of interest is 5% per annum, what was the principal amount?
A.
$4320
B.
$4500
C.
$4800
D.
$4900
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Solution
Using A = P(1 + r)^n, we have 5000 = P(1 + 0.05)^3. Solving gives P ≈ $4320.
Correct Answer: B — $4500
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Q. A sum of money invested at compound interest grows to Rs. 8000 in 2 years and Rs. 9600 in 3 years. What is the rate of interest?
A.
20%
B.
25%
C.
30%
D.
15%
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Solution
The amount grows from 8000 to 9600 in one year, which is an increase of 1600. The rate can be calculated as (1600/8000) * 100 = 20%.
Correct Answer: B — 25%
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Q. A sum of money is invested at a certain rate of compound interest. If the amount becomes three times in 10 years, what is the rate of interest?
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Using the formula A = P(1 + r)^t, where A = 3P, t = 10. Solving for r gives r = (3^(1/10)) - 1, which approximates to 15%.
Correct Answer: B — 15%
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Q. A sum of money is invested at a certain rate of compound interest. If the amount becomes three times in 10 years, what is the annual interest rate?
A.
10%
B.
15%
C.
20%
D.
25%
Show solution
Solution
Using the formula A = P(1 + r)^n, we have 3P = P(1 + r)^10. Thus, (1 + r)^10 = 3. Solving gives r ≈ 0.15 or 15%.
Correct Answer: B — 15%
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Q. A sum of money is invested at a certain rate of simple interest. If the interest earned in 4 years is $200, what will be the interest earned in 10 years at the same rate?
A.
$400
B.
$500
C.
$600
D.
$800
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Solution
If $200 is earned in 4 years, then in 1 year, it earns $50. Therefore, in 10 years, it will earn $500.
Correct Answer: A — $400
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Q. A sum of money is invested at a compound interest rate of 12% per annum. How long will it take for the investment to double?
A.
5 years
B.
6 years
C.
7 years
D.
8 years
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Solution
Using the rule of 72, 72/12 = 6 years to double the investment.
Correct Answer: B — 6 years
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Q. A survey found that 80% of participants who meditate report lower stress levels. What can be inferred?
A.
Meditation is the only way to reduce stress.
B.
Most people who meditate experience stress.
C.
There is a link between meditation and reduced stress.
D.
Stress levels are the same for all individuals.
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Solution
The survey suggests a link between meditation and lower stress levels, but does not imply that meditation is the only method for stress reduction.
Correct Answer: C — There is a link between meditation and reduced stress.
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Q. A survey found that 80% of people who meditate report lower stress levels. What can be inferred from this survey?
A.
Meditation is the only way to reduce stress.
B.
People with lower stress levels are more likely to meditate.
C.
Meditation may help in reducing stress levels.
D.
All people who meditate experience low stress.
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Solution
The survey indicates a potential benefit of meditation in reducing stress, but does not imply that it is the only method or that all meditators experience low stress.
Correct Answer: C — Meditation may help in reducing stress levels.
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