Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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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%

Solution

Percentage increase = ((70 - 50) / 50) * 100 = 40%.

Correct Answer: B — 40%

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

Solution

Percentage = (300/400)*100 = 75%. Since he scored exactly 75%, he passes.

Correct Answer: A — Yes

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

Solution

Percentage = (300/400) * 100 = 75%. He passed.

Correct Answer: A — Yes

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

Solution

Marks scored = 75% of 800 = 0.75 * 800 = 600.

Correct Answer: A — 600

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%

Solution

Percentage score = (45 / 60) * 100 = 75%.

Correct Answer: B — 75%

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%

Solution

Percentage = (60 / 80) * 100 = 75%.

Correct Answer: B — 75%

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%

Solution

Percentage score = (90/120) * 100 = 75%.

Correct Answer: C — 80%

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%

Solution

Percentage = (90/120) * 100 = 75%.

Correct Answer: C — 80%

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

Solution

Total marks = 90 / (75/100) = 90 * (100/75) = 120.

Correct Answer: B — 120

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

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

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

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

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

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

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

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

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

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

Q. If a year starts on a Friday, what day of the week will it end?

A. Friday
B. Saturday
C. Sunday
D. Monday

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

Q. If a year starts on a Wednesday, what day of the week will it end?

A. Wednesday
B. Thursday
C. Friday
D. Saturday

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

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

Solution

Total investment = 15000 + 25000 + 10000 = 50000. Profit share for C = (10000/50000) * 18000 = $3,600.

Correct Answer: D — $9,000

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

Solution

Total parts = 1 + 2 + 3 = 6. A's share = (1/6) * 1200 = $200.

Correct Answer: C — $400

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

Solution

Total parts = 4 + 5 + 6 = 15. C's share = (6/15) * 1500 = $600.

Correct Answer: A — $600

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

Solution

Total investment = 15000 + 25000 + 10000 = 50000. B's share = 25000/50000 * 50000 = $25,000.

Correct Answer: A — $20,000

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

Solution

Adding 3 hours and 45 minutes to 6:00 PM gives 9:45 PM.

Correct Answer: A — 9:45 PM

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

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

Q. If log10(10x) = 2, what is the value of x?

A. 10
B. 100
C. 1000
D. 10000

Solution

10x = 10^2, so x = 10.

Correct Answer: B — 100

Q. If log10(5) = a, what is log10(25) in terms of a?

A. 2a
B. a
C. a/2
D. 4a

Solution

log10(25) = log10(5^2) = 2 * log10(5) = 2a.

Correct Answer: A — 2a

Q. If log10(x) + log10(10) = 2, what is the value of x?

A. 10
B. 100
C. 1000
D. 10000

Solution

log10(x) = 2 - 1 = 1, so x = 10^1 = 10.

Correct Answer: B — 100

Q. If log10(x) = -1, what is the value of x?

A. 0.1
B. 1
C. 10
D. 100

Solution

x = 10^-1 = 0.1.

Correct Answer: A — 0.1

Q. If log10(x) = 2, what is the value of x?

A. 10
B. 100
C. 1000
D. 10000

Solution

x = 10^2 = 100.

Correct Answer: B — 100

Q. If log2(x) + log2(8) = 7, what is the value of x?

A. 32
B. 64
C. 128
D. 256

Solution

log2(x) = 7 - log2(8) = 7 - 3 = 4, so x = 2^4 = 16.

Correct Answer: B — 64

Q. If log2(x) = 5, what is the value of x?

A. 16
B. 32
C. 64
D. 128

Solution

x = 2^5 = 32.

Correct Answer: C — 64

Q. If log3(81) = x, what is the value of x?

A. 2
B. 3
C. 4
D. 5

Solution

81 = 3^4, so x = 4.

Correct Answer: C — 4

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