Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

Approximation & Simplification Banking Awareness Cloze Test Data Interpretation - Caselets Data Sufficiency - Banking Type Error Detection - Grammar Financial Markets Basics Mixtures and Alligations Mixtures and Alligations - Common Mistakes Mixtures and Alligations - Practice Problems with Solutions Mixtures and Alligations - Shortcuts and Tricks Number Series Para Jumbles Problems on Trains and Boats Problems on Trains and Boats - Common Mistakes Problems on Trains and Boats - Practice Problems with Solutions Problems on Trains and Boats - Shortcuts and Tricks Profit and Loss Problems Profit and Loss Problems - Common Mistakes Profit and Loss Problems - Practice Problems with Solutions Profit and Loss Problems - Shortcuts and Tricks Quadratic Equations for Banking Ratio, Proportion and Partnership Ratio, Proportion and Partnership - Common Mistakes Ratio, Proportion and Partnership - Practice Problems with Solutions Ratio, Proportion and Partnership - Shortcuts and Tricks Reading Comprehension - Banking Level Sentence Improvement Simple and Compound Interest Simple and Compound Interest - Common Mistakes Simple and Compound Interest - Practice Problems with Solutions Simple and Compound Interest - Shortcuts and Tricks Time and Work Problems Time and Work Problems - Common Mistakes Time and Work Problems - Practice Problems with Solutions Time and Work Problems - Shortcuts and Tricks Time, Speed and Distance Time, Speed and Distance - Common Mistakes Time, Speed and Distance - Practice Problems with Solutions Time, Speed and Distance - Shortcuts and Tricks

Q. If 10 liters of a 20% sugar solution is mixed with 5 liters of a 30% sugar solution, what is the percentage of sugar in the new mixture?

A. 24%
B. 26%
C. 28%
D. 30%

Solution

Sugar from 20% solution = 2L, from 30% = 1.5L. Total sugar = 3.5L, total volume = 15L, new % = (3.5/15)*100 = 23.33%.

Correct Answer: A — 24%

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Q. If 20% of a mixture is water and the rest is alcohol, what is the ratio of alcohol to water in the mixture?

A. 4:1
B. 5:1
C. 1:4
D. 1:5

Solution

Water = 20%, Alcohol = 80%. Ratio = 80:20 = 4:1.

Correct Answer: B — 5:1

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Q. If 25% of a number is 50, what is the number?

A. 150
B. 200
C. 250
D. 300

Solution

Let the number be x. Then, 0.25x = 50. Solving gives x = 50 / 0.25 = 200.

Correct Answer: B — 200

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Q. If 2x + 3 = 11, what is the value of x?

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

Solution

2x = 11 - 3 = 8, so x = 8/2 = 4.

Correct Answer: B — 3

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Q. If 2x - 3 = 5, what is the value of x?

A. 1
B. 2
C. 4
D. 3

Solution

Adding 3 to both sides gives 2x = 8, so x = 4.

Correct Answer: B — 2

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Q. If 2x - 3 = 7, what is the value of x?

A. 2
B. 3
C. 5
D. 7

Solution

2x = 10, so x = 5.

Correct Answer: C — 5

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Q. If 5 kg of sugar costing $10 per kg is mixed with 3 kg of sugar costing $15 per kg, what is the average cost per kg of the mixture?

A. $12.50
B. $13.75
C. $14.00
D. $11.00

Solution

Total cost = (5*10 + 3*15) = 50 + 45 = $95. Average cost = 95 / (5 + 3) = 95 / 8 = $11.875.

Correct Answer: B — $13.75

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Q. If 5 workers can complete a job in 10 days, how many days will it take for 10 workers to complete the same job?

A. 5 days
B. 10 days
C. 15 days
D. 20 days

Solution

If 5 workers take 10 days, then 10 workers will take 10/2 = 5 days.

Correct Answer: A — 5 days

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Q. If 5x + 2 = 17, what is the value of x?

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

Solution

Subtract 2 from both sides to get 5x = 15, then divide by 5 to find x = 3.

Correct Answer: B — 3

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Q. If 5x + 3 = 18, what is the value of x?

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

Solution

5x = 18 - 3 = 15, so x = 15/5 = 3.

Correct Answer: B — 3

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Q. If 5x - 10 = 0, what is the value of x?

A. 0
B. 2
C. 5
D. 10

Solution

5x = 10, so x = 10/5 = 2.

Correct Answer: B — 2

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Q. If 5x - 3 = 12, what is the value of x?

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

Solution

Add 3 to both sides to get 5x = 15, then divide by 5 to find x = 3.

Correct Answer: B — 3

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Q. If 5x - 3 = 2x + 12, what is the value of x?

A. 3
B. 4
C. 5
D. 6

Solution

Rearranging gives 5x - 2x = 12 + 3, so 3x = 15, thus x = 5.

Correct Answer: B — 4

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Q. If 5x - 3 = 2x + 12, what is x?

A. 3
B. 4
C. 5
D. 6

Solution

5x - 2x = 12 + 3, so 3x = 15, thus x = 5.

Correct Answer: B — 4

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Q. If 5x - 3 = 2x + 6, what is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

5x - 2x = 6 + 3, so 3x = 9, thus x = 3.

Correct Answer: B — 2

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Q. If 5x - 3 = 2x + 6, what is x?

A. 1
B. 2
C. 3
D. 4

Solution

5x - 2x = 6 + 3, so 3x = 9, thus x = 3.

Correct Answer: B — 2

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Q. If 5x = 20, what is the value of x?

A. 2
B. 4
C. 5
D. 10

Solution

Dividing both sides by 5 gives x = 4.

Correct Answer: B — 4

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Q. If 7x + 3 = 24, what is the value of x?

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

Solution

7x = 24 - 3 = 21, so x = 21/7 = 3.

Correct Answer: B — 3

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Q. If a bank offers a simple interest rate of 5% per annum, how much interest will be earned on a principal of $2,000 after 4 years?

A. $200
B. $300
C. $400
D. $500

Solution

Simple Interest = Principal * Rate * Time = 2000 * 0.05 * 4 = $400

Correct Answer: C — $400

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Q. If a bank offers compound interest at a rate of 10% per annum, how much will $1000 grow in 2 years?

A. $1100
B. $1210
C. $1300
D. $1500

Solution

Amount = Principal × (1 + Rate)^Time = 1000 × (1 + 0.10)^2 = 1000 × 1.21 = $1210.

Correct Answer: B — $1210

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Q. If a boat takes 3 hours to go 36 km upstream, what is the speed of the boat in still water if the speed of the current is 2 km/h?

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 16 km/h

Solution

Speed upstream = Distance / Time = 36 km / 3 hours = 12 km/h. Speed of boat in still water = Speed upstream + Speed of current = 12 km/h + 2 km/h = 14 km/h.

Correct Answer: B — 12 km/h

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Q. If a bus travels at a speed of 45 km/h, how far can it travel in 3.5 hours?

A. 150 km
B. 160 km
C. 170 km
D. 180 km

Solution

Distance = Speed * Time = 45 km/h * 3.5 h = 157.5 km.

Correct Answer: C — 170 km

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Q. If A can complete a work in 10 days and B can complete the same work in 15 days, how long will they take to complete the work together?

A. 5 days
B. 6 days
C. 7 days
D. 8 days

Solution

A's work rate = 1/10, B's work rate = 1/15. Together, they work at (1/10 + 1/15) = 1/6. Therefore, they will complete the work in 6 days.

Correct Answer: B — 6 days

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Q. If A can complete a work in 14 days and B can complete it in 21 days, how long will they take to complete the work together?

A. 7 days
B. 8 days
C. 9 days
D. 10 days

Solution

A's rate = 1/14, B's rate = 1/21. Combined rate = 1/14 + 1/21 = 1/10. They will finish the work in 10 days.

Correct Answer: C — 9 days

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Q. If A can do a work in 15 days and B can do it in 20 days, how long will they take to complete the work together?

A. 6 days
B. 8 days
C. 10 days
D. 12 days

Solution

A's rate = 1/15, B's rate = 1/20. Combined rate = 1/15 + 1/20 = 1/12. They will complete the work in 12 days.

Correct Answer: C — 10 days

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Q. If A can do a work in 16 days and B can do it in 24 days, how long will they take to complete the work together?

A. 8 days
B. 10 days
C. 12 days
D. 14 days

Solution

A's rate = 1/16, B's rate = 1/24. Combined rate = 1/16 + 1/24 = 1/9. They will finish the work in 9 days.

Correct Answer: C — 12 days

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Q. If A can finish a job in 20 days and B can finish the same job in 30 days, how long will it take for both A and B to finish the job together?

A. 10 days
B. 12 days
C. 15 days
D. 18 days

Solution

A's rate = 1/20, B's rate = 1/30. Combined rate = 1/20 + 1/30 = 1/12. They will finish the job in 12 days.

Correct Answer: B — 12 days

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Q. If a car is bought for $15,000 and sold for $12,000, what is the loss percentage?

A. 20%
B. 15%
C. 25%
D. 10%

Solution

Loss = 15000 - 12000 = 3000. Loss Percentage = (Loss/Cost Price) * 100 = (3000/15000) * 100 = 20%.

Correct Answer: A — 20%

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Q. If a car travels 180 km in 3 hours, what is its average speed?

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Solution

Average Speed = Total Distance / Total Time = 180 km / 3 h = 60 km/h

Correct Answer: B — 60 km/h

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Q. If a car travels 300 km in 4 hours, what is its average speed?

A. 60 km/h
B. 70 km/h
C. 75 km/h
D. 80 km/h

Solution

Average Speed = Total Distance / Total Time = 300 km / 4 h = 75 km/h.

Correct Answer: A — 60 km/h

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Arithmetic Aptitude

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