General Aptitude
Q. If a student increases his score from 50 to 70 in a test, what is the percentage increase in his score?
A.
30%
B.
40%
C.
50%
D.
20%
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Solution
Percentage increase = ((70 - 50) / 50) * 100 = 40%.
Correct Answer: B — 40%
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Q. If a student needs to score at least 75% to pass an exam and he scored 300 out of 400, did he pass?
A.
Yes
B.
No
C.
Cannot be determined
D.
None of the above
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Solution
Percentage = (300/400)*100 = 75%. Since he scored exactly 75%, he passes.
Correct Answer: A — Yes
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Q. If a student needs to score at least 75% to pass and he scored 300 marks out of 400, did he pass?
A.
Yes
B.
No
C.
Cannot determine
D.
Depends on the subject
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Solution
Percentage = (300/400) * 100 = 75%. He passed.
Correct Answer: A — Yes
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Q. If a student scored 75% in an exam and the total marks were 800, how many marks did he score?
A.
600
B.
650
C.
700
D.
750
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Solution
Marks scored = 75% of 800 = 0.75 * 800 = 600.
Correct Answer: A — 600
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Q. If a student scores 45 out of 60 in an exam, what is his percentage score?
A.
70%
B.
75%
C.
80%
D.
85%
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Solution
Percentage score = (45 / 60) * 100 = 75%.
Correct Answer: B — 75%
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Q. If a student scores 60 marks out of 80 in a test, what is the percentage score?
A.
70%
B.
75%
C.
80%
D.
85%
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Solution
Percentage = (60 / 80) * 100 = 75%.
Correct Answer: B — 75%
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Q. If a student scores 90 marks out of 120 in an exam, what is his percentage score?
A.
70%
B.
75%
C.
80%
D.
85%
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Solution
Percentage score = (90/120) * 100 = 75%.
Correct Answer: C — 80%
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Q. If a student scores 90 marks out of 120, what is the percentage of marks obtained?
A.
70%
B.
75%
C.
80%
D.
85%
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Solution
Percentage = (90/120) * 100 = 75%.
Correct Answer: C — 80%
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Q. If a student scores 90 marks which is 75% of the total marks, what are the total marks?
A.
100
B.
120
C.
150
D.
200
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Solution
Total marks = 90 / (75/100) = 90 * (100/75) = 120.
Correct Answer: B — 120
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Q. If a sum of money amounts to $8000 in 3 years at compound interest, what was the principal if the rate of interest is 5%?
A.
$6000
B.
$6500
C.
$7000
D.
$7500
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Solution
Let P be the principal. A = P(1 + r)^n; 8000 = P(1 + 0.05)^3; P = 8000 / 1.157625 = $6912.87.
Correct Answer: A — $6000
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Q. If a tank can be filled by a pipe in 20 hours and emptied by another pipe in 30 hours, how long will it take to fill the tank if both pipes are opened together?
A.
12 hours
B.
15 hours
C.
18 hours
D.
24 hours
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Solution
The net rate is 1/20 - 1/30 = 1/60. Therefore, it will take 60 hours to fill the tank.
Correct Answer: B — 15 hours
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Q. If a tank can be filled by a pipe in 20 minutes and emptied by another pipe 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 tank can be filled by a pipe in 25 minutes and emptied by another pipe in 50 minutes, how long will it take to fill the tank if both pipes are opened together?
A.
16.67 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: A — 16.67 minutes
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Q. If a tank can be filled by a pipe in 8 hours and emptied by another pipe in 12 hours, how long will it take to fill the tank if both pipes are opened together?
A.
4 hours
B.
6 hours
C.
8 hours
D.
10 hours
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Solution
The net rate is 1/8 - 1/12 = 1/24. Therefore, it will take 24 hours to fill the tank.
Correct Answer: A — 4 hours
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Q. If a year starts on a Friday, what day of the week will it end?
A.
Friday
B.
Saturday
C.
Sunday
D.
Monday
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Solution
A non-leap year has 365 days, which is 52 weeks and 1 day. Therefore, if the year starts on a Friday, it will end on a Saturday.
Correct Answer: B — Saturday
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Q. If a year starts on a Wednesday, what day of the week will it end?
A.
Wednesday
B.
Thursday
C.
Friday
D.
Saturday
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Solution
A non-leap year has 365 days, which is 52 weeks and 1 day. Therefore, if the year starts on a Wednesday, it will end on a Wednesday.
Correct Answer: A — Wednesday
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Q. If A, B, and C invest $15,000, $25,000, and $10,000 respectively, what is the total profit if they earn $18,000?
A.
$7,200
B.
$6,000
C.
$8,000
D.
$9,000
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Solution
Total investment = 15000 + 25000 + 10000 = 50000. Profit share for C = (10000/50000) * 18000 = $3,600.
Correct Answer: D — $9,000
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Q. If A, B, and C invest in a business in the ratio 1:2:3 and the total profit is $1200, how much does A receive?
A.
$200
B.
$300
C.
$400
D.
$500
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Solution
Total parts = 1 + 2 + 3 = 6. A's share = (1/6) * 1200 = $200.
Correct Answer: C — $400
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Q. If A, B, and C invest in a business in the ratio 4:5:6 and the total profit is $1500, how much does C receive?
A.
$600
B.
$500
C.
$400
D.
$700
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Solution
Total parts = 4 + 5 + 6 = 15. C's share = (6/15) * 1500 = $600.
Correct Answer: A — $600
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Q. If A, B, and C invest in a business with amounts of $15,000, $25,000, and $10,000 respectively, what is the profit share of B if the total profit is $50,000?
A.
$20,000
B.
$25,000
C.
$15,000
D.
$10,000
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Solution
Total investment = 15000 + 25000 + 10000 = 50000. B's share = 25000/50000 * 50000 = $25,000.
Correct Answer: A — $20,000
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Q. If it is 6:00 PM now, what time will it be after 3 hours and 45 minutes?
A.
9:45 PM
B.
9:15 PM
C.
8:45 PM
D.
8:15 PM
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Solution
Adding 3 hours and 45 minutes to 6:00 PM gives 9:45 PM.
Correct Answer: A — 9:45 PM
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Q. If January 1, 2023 is a Sunday, what day of the week will January 1, 2024 be?
A.
Monday
B.
Tuesday
C.
Wednesday
D.
Thursday
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Solution
2023 is not a leap year, so it has 365 days. 365 days = 52 weeks + 1 day. Therefore, January 1, 2024 will be one day after Sunday, which is Monday.
Correct Answer: A — Monday
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Q. If log10(10x) = 2, what is the value of x?
A.
10
B.
100
C.
1000
D.
10000
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Solution
10x = 10^2, so x = 10.
Correct Answer: B — 100
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Q. If log10(5) = a, what is log10(25) in terms of a?
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Solution
log10(25) = log10(5^2) = 2 * log10(5) = 2a.
Correct Answer: A — 2a
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Q. If log10(x) + log10(10) = 2, what is the value of x?
A.
10
B.
100
C.
1000
D.
10000
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Solution
log10(x) = 2 - 1 = 1, so x = 10^1 = 10.
Correct Answer: B — 100
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Q. If log10(x) = -1, what is the value of x?
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Solution
x = 10^-1 = 0.1.
Correct Answer: A — 0.1
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Q. If log10(x) = 2, what is the value of x?
A.
10
B.
100
C.
1000
D.
10000
Show solution
Solution
x = 10^2 = 100.
Correct Answer: B — 100
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Q. If log2(x) + log2(8) = 7, what is the value of x?
A.
32
B.
64
C.
128
D.
256
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Solution
log2(x) = 7 - log2(8) = 7 - 3 = 4, so x = 2^4 = 16.
Correct Answer: B — 64
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Q. If log2(x) = 5, what is the value of x?
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Q. If log3(81) = x, what is the value of x?
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Solution
81 = 3^4, so x = 4.
Correct Answer: C — 4
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