General Aptitude
Q. If a person saves 15% of his salary and his salary is $1200, how much does he save?
A.
$150
B.
$180
C.
$200
D.
$220
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Solution
Savings = 0.15 * 1200 = $180.
Correct Answer: B — $180
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Q. If a person saves 15% of his salary and his salary is $800, how much does he save?
A.
$100
B.
$120
C.
$150
D.
$180
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Solution
Savings = 0.15 * 800 = $120.
Correct Answer: B — $120
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Q. If a person saves 25% of his salary and his salary is $800, how much does he save?
A.
$150
B.
$200
C.
$250
D.
$300
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Solution
Savings = 25% of 800 = 0.25 * 800 = 200.
Correct Answer: B — $200
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Q. If a person saves 30% of his salary and his salary is $2000, how much does he save?
A.
$500
B.
$600
C.
$700
D.
$800
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Solution
Savings = 30% of 2000 = 0.3 * 2000 = $600.
Correct Answer: B — $600
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Q. If a person saves 30% of his salary and his savings amount to $600, what is his total salary?
A.
$1,800
B.
$2,000
C.
$2,200
D.
$2,400
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Solution
Let the salary be x. 30% of x = 600; 0.3x = 600; x = 600 / 0.3 = 2000.
Correct Answer: B — $2,000
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Q. If a person standing 15 meters away from a building sees the top of the building at an angle of elevation of 30 degrees, what is the height of the building?
A.
7.5 meters
B.
10 meters
C.
12.5 meters
D.
15 meters
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Solution
Height = distance * tan(30) = 15 * (1/√3) = 15/√3 = 5√3 meters ≈ 7.5 meters.
Correct Answer: A — 7.5 meters
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Q. If a person was born on February 29, 2000, how many birthdays will they have celebrated by February 29, 2024?
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Solution
Leap years from 2000 to 2024 are 2000, 2004, 2008, 2012, 2016, 2020, and 2024. They will celebrate their birthday in 2000, 2004, 2008, 2012, 2016, 2020, and 2024, totaling 5 birthdays.
Correct Answer: B — 5
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Q. If a pipe can fill a tank in 20 hours and another pipe can empty it in 25 hours, how long will it take to fill the tank if both pipes are opened together?
A.
50 hours
B.
100 hours
C.
80 hours
D.
40 hours
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Solution
The net rate is 1/20 - 1/25 = 1/100. Therefore, it will take 100 hours to fill the tank.
Correct Answer: D — 40 hours
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Q. If a pipe can fill a tank in 20 minutes and another pipe can empty it in 30 minutes, how long will it take to fill the tank if both pipes are opened together?
A.
10 minutes
B.
15 minutes
C.
20 minutes
D.
25 minutes
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Solution
The net rate is 1/20 - 1/30 = 1/60. Therefore, it will take 60 minutes to fill the tank.
Correct Answer: B — 15 minutes
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Q. If a pipe can fill a tank in 24 hours and another pipe can empty it in 30 hours, how long will it take to fill the tank if both pipes are opened together?
A.
120 hours
B.
60 hours
C.
80 hours
D.
40 hours
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Solution
The net rate is 1/24 - 1/30 = 1/120. Therefore, it will take 120 hours to fill the tank.
Correct Answer: B — 60 hours
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Q. If a pipe can fill a tank in 25 minutes and another pipe can empty it in 50 minutes, how long will it take to fill the tank if both pipes are opened together?
A.
15 minutes
B.
20 minutes
C.
25 minutes
D.
30 minutes
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Solution
The net rate is 1/25 - 1/50 = 1/50. Therefore, it will take 50 minutes to fill the tank.
Correct Answer: D — 30 minutes
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Q. If a pipe can fill a tank in 9 hours and another pipe can fill it in 6 hours, how long will it take to fill the tank if both pipes are opened together?
A.
3.6 hours
B.
4 hours
C.
4.5 hours
D.
5 hours
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Solution
The combined rate is 1/9 + 1/6 = 5/18. Therefore, it will take 18/5 = 3.6 hours to fill the tank.
Correct Answer: C — 4.5 hours
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Q. If a population increases from 5000 to 6000, what is the percentage increase?
A.
20%
B.
25%
C.
30%
D.
15%
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Solution
Increase = 6000 - 5000 = 1000. Percentage increase = (1000/5000) * 100 = 20%.
Correct Answer: A — 20%
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Q. If a population of a town increases by 10% every year and the current population is 5,000, what will be the population after one year?
A.
5,200
B.
5,500
C.
5,600
D.
5,800
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Solution
Increase = 10% of 5000 = 0.1 * 5000 = 500; Population after one year = 5000 + 500 = 5500.
Correct Answer: B — 5,500
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Q. If a population of a town increases by 15% in one year, what will be the population after one year if the current population is 20,000?
A.
22,000
B.
23,000
C.
24,000
D.
25,000
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Solution
Increase = 15% of 20,000 = 3,000. New population = 20,000 + 3,000 = 23,000.
Correct Answer: A — 22,000
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Q. If a population of a town increases from 10,000 to 12,000 in a year, what is the percentage increase in population?
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Increase = 12000 - 10000 = 2000; Percentage increase = (2000/10000) * 100 = 20%.
Correct Answer: B — 20%
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Q. If a population of a town increases from 10,000 to 12,000 in a year, what is the percentage increase in the population?
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Percentage increase = ((12000 - 10000) / 10000) * 100 = (2000 / 10000) * 100 = 20%.
Correct Answer: B — 20%
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Q. If a population of a town increases from 20,000 to 25,000 in a year, what is the percentage increase?
A.
20%
B.
25%
C.
30%
D.
35%
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Solution
Percentage increase = ((25000 - 20000) / 20000) * 100 = (5000 / 20000) * 100 = 25%.
Correct Answer: B — 25%
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Q. If a population of a town increases from 2000 to 2500 in a year, what is the percentage increase in population?
A.
20%
B.
25%
C.
30%
D.
35%
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Solution
Percentage increase = ((2500 - 2000) / 2000) * 100 = (500 / 2000) * 100 = 25%.
Correct Answer: B — 25%
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Q. If a product is marked at $150 and is sold at a 10% discount, what is the selling price?
A.
$135
B.
$140
C.
$145
D.
$150
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Solution
Selling price = 150 - (10/100 * 150) = 150 - 15 = 135.
Correct Answer: A — $135
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Q. If a product is marked at $150 and sold at a 10% discount, what is the selling price?
A.
$135
B.
$140
C.
$145
D.
$150
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Solution
Selling price = 150 - (10/100 * 150) = 150 - 15 = 135.
Correct Answer: A — $135
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Q. If a product is marked at $200 and is sold at a 10% discount, what is the selling price?
A.
$180
B.
$190
C.
$200
D.
$210
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Solution
Selling price = 200 - (0.1 * 200) = 200 - 20 = 180
Correct Answer: A — $180
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Q. If a product is marked at $200 and sold at a 10% discount, what is the selling price?
A.
$180
B.
$190
C.
$200
D.
$210
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Solution
Selling price = 200 - (0.10 * 200) = 200 - 20 = $180.
Correct Answer: A — $180
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Q. If a product is marked at $200 and sold at a 10% profit, what is the cost price?
A.
$150
B.
$160
C.
$180
D.
$190
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Solution
Let the cost price be x. Then, 1.1x = 200 => x = 200 / 1.1 = 181.82.
Correct Answer: B — $160
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Q. If a shirt is sold for $240 after a discount of 20%, what was the original price of the shirt?
A.
$300
B.
$280
C.
$250
D.
$320
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Solution
Let the original price be x. After a 20% discount, the selling price is 80% of x. Therefore, 0.8x = 240; x = 240 / 0.8 = 300.
Correct Answer: A — $300
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Q. If a shirt is sold for $40 after a 20% discount, what was its original price?
A.
$32
B.
$36
C.
$48
D.
$50
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Solution
Let original price be x. 0.8x = 40, x = 40/0.8 = 50
Correct Answer: C — $48
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Q. If a shirt is sold for $40 after a discount of 20%, what was the original price of the shirt?
A.
$50
B.
$60
C.
$45
D.
$55
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Solution
Let the original price be x. Then, 0.8x = 40, so x = 40/0.8 = $50.
Correct Answer: A — $50
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Q. If a shirt is sold for $45 after a discount of 10%, what was the original price of the shirt?
A.
$50
B.
$55
C.
$60
D.
$65
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Solution
Let the original price be x. After a 10% discount, the selling price is x - 0.1x = 0.9x. So, 0.9x = 45. Therefore, x = 45/0.9 = $50.
Correct Answer: A — $50
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Q. If a student answered 85% of the questions correctly in an exam and there were 120 questions, how many questions did he answer correctly?
A.
90
B.
95
C.
100
D.
102
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Solution
Correct answers = 0.85 * 120 = 102.
Correct Answer: C — 100
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Q. If a student answered 90 questions correctly out of 120, what is the percentage of correct answers?
A.
70%
B.
75%
C.
80%
D.
85%
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Solution
Percentage of correct answers = (90 / 120) * 100 = 75%.
Correct Answer: C — 80%
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