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.
Show solution
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.
Show solution
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%
Show solution
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. How long will it take to triple itself?
A.
10 years
B.
15 years
C.
20 years
D.
25 years
Show solution
Solution
If it doubles in 5 years, the interest rate is 20% per annum. To triple, it needs to earn 200% interest, which will take 10 years.
Correct Answer:
C
— 20 years
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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%
Show solution
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%
Show solution
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%
Show solution
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%
Show solution
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%
Show solution
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
Show solution
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%
Show solution
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
Show solution
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%
Show solution
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%
Show solution
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
Show solution
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
Show solution
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 sum of money is invested at a compound interest rate of 8% per annum. How much will it amount to in 3 years if the principal is $5000? (2023)
A.
$6000
B.
$6300
C.
$6400
D.
$6800
Show solution
Solution
Using A = P(1 + r)^n, we have A = 5000(1 + 0.08)^3 = $6400.
Correct Answer:
C
— $6400
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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.
Show solution
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.
Show solution
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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Q. A survey found that people who read regularly tend to have a broader vocabulary. What can be inferred from this finding?
A.
Reading is the only way to improve vocabulary.
B.
People with a broader vocabulary are more likely to read regularly.
C.
Regular reading may enhance vocabulary development.
D.
Vocabulary size has no relation to reading habits.
Show solution
Solution
The finding suggests a correlation where regular reading may contribute to the development of a broader vocabulary.
Correct Answer:
C
— Regular reading may enhance vocabulary development.
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Q. A survey indicates that people who consume more fruits and vegetables report better health. What can be inferred?
A.
Eating fruits and vegetables causes better health.
B.
People with better health tend to eat more fruits and vegetables.
C.
All healthy people eat fruits and vegetables.
D.
Fruits and vegetables are the only factors affecting health.
Show solution
Solution
The survey shows a correlation between fruit and vegetable consumption and reported health, suggesting that healthier individuals may be more inclined to eat them.
Correct Answer:
B
— People with better health tend to eat more fruits and vegetables.
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Q. A survey of favorite fruits among 20 people resulted in the following counts: Apple (6), Banana (8), Orange (4), Grape (2). What is the mode of the favorite fruits? (2023)
A.
Apple
B.
Banana
C.
Orange
D.
Grape
Show solution
Solution
Banana has the highest count (8), so the mode is Banana.
Correct Answer:
B
— Banana
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Q. A survey of favorite fruits yielded the following results: Apple, Banana, Apple, Orange, Banana, Apple. What is the mode?
A.
Apple
B.
Banana
C.
Orange
D.
None
Show solution
Solution
The mode is Apple, as it appears three times in the survey results.
Correct Answer:
A
— Apple
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Q. A survey of the number of books read by students resulted in the following data: 1, 2, 2, 3, 3, 3, 4, 5. What is the mode?
Show solution
Solution
The mode is 3, as it appears three times, more than any other number.
Correct Answer:
C
— 3
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Q. A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
A.
60%
B.
70%
C.
50%
D.
80%
Show solution
Solution
Using the principle of inclusion-exclusion, the percentage of people who like either apples or bananas is 40% + 30% - 10% = 60%.
Correct Answer:
A
— 60%
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Q. A survey shows that 60% of people prefer tea over coffee. If 240 people were surveyed, how many prefer coffee? (2023)
A.
60
B.
80
C.
100
D.
120
Show solution
Solution
People who prefer tea = 60% of 240 = 144; People who prefer coffee = 240 - 144 = 96.
Correct Answer:
B
— 80
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Q. A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of people who like either flavor is 70% + 50% - 20% = 100%.
Correct Answer:
C
— 80%
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Q. A survey shows that 70% of people like dogs, 50% like cats, and 20% like both. What percentage of people like either dogs or cats?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of people who like either dogs or cats is: 70% + 50% - 20% = 100%.
Correct Answer:
C
— 80%
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Q. A survey shows that people who exercise regularly report higher levels of happiness. What can be inferred from this survey?
A.
Exercise is the only factor contributing to happiness.
B.
All happy people exercise regularly.
C.
There is a positive correlation between exercise and happiness.
D.
Unhappy people do not exercise.
Show solution
Solution
The survey indicates a correlation between regular exercise and reported happiness, but does not imply causation or exclusivity.
Correct Answer:
C
— There is a positive correlation between exercise and happiness.
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