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. A and B can complete a work in 12 days. B and C can complete the same work in 15 days. If A, B, and C work together, how many days will they take to complete the work?

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

Solution

Work done by A and B in one day = 1/12. Work done by B and C in one day = 1/15. Let work done by B in one day = x. Then, A's work = 1/12 - x and C's work = 1/15 - x. Solving gives A + B + C = 1/8. Therefore, they will complete the work in 8 days.

Correct Answer: B — 6 days

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Q. A and B can complete a work in 24 days and 36 days respectively. How long will they take to complete the work together?

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

Solution

A's rate = 1/24, B's rate = 1/36. Combined rate = 1/24 + 1/36 = 1/15. They will complete the work in 15 days.

Correct Answer: B — 12 days

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Q. A bank gives a compound interest of 8% per annum. If you invest $1000, how much will you have after 1 year?

A. $1080
B. $1100
C. $1120
D. $1150

Solution

Amount = Principal × (1 + Rate) = 1000 × (1 + 0.08) = 1000 × 1.08 = $1080.

Correct Answer: A — $1080

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Q. A bank offers a simple interest rate of 5% per annum. If you invest $2000 for 3 years, what will be the total interest earned?

A. $300
B. $400
C. $500
D. $600

Solution

Simple Interest = Principal × Rate × Time = 2000 × 0.05 × 3 = $300.

Correct Answer: B — $400

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Q. A bicycle is sold for $180, which is 20% more than its cost price. What is the cost price?

A. $150
B. $160
C. $140
D. $170

Solution

Let Cost Price = x. Selling Price = x + 20% of x = 1.2x. 1.2x = 180. x = 180/1.2 = 150.

Correct Answer: A — $150

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Q. A boat can go 30 km upstream in 6 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?

A. 5 km/h
B. 6 km/h
C. 7 km/h
D. 8 km/h

Solution

Speed upstream = Distance / Time = 30 km / 6 hours = 5 km/h. Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 3 km/h = 8 km/h.

Correct Answer: B — 6 km/h

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Q. A boat can travel 48 km downstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 4 km/h?

A. 20 km/h
B. 22 km/h
C. 24 km/h
D. 26 km/h

Solution

Speed downstream = Distance / Time = 48 km / 2 hours = 24 km/h. Speed of boat in still water = Speed downstream - Speed of current = 24 km/h - 4 km/h = 20 km/h.

Correct Answer: C — 24 km/h

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Q. A boat can travel 60 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

A. 25 km/h
B. 30 km/h
C. 35 km/h
D. 40 km/h

Solution

Speed downstream = Distance / Time = 60 km / 2 hours = 30 km/h. Speed of boat in still water = Speed downstream - Speed of current = 30 km/h - 5 km/h = 25 km/h.

Correct Answer: B — 30 km/h

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Q. A bus travels 240 km at a speed of 80 km/h. How long does the journey take?

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

Solution

Time = Distance / Speed = 240 km / 80 km/h = 3 hours

Correct Answer: B — 3 hours

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Q. A bus travels at a speed of 60 km/h. How far will it travel in 2.5 hours?

A. 120 km
B. 140 km
C. 150 km
D. 160 km

Solution

Distance = Speed × Time = 60 km/h × 2.5 h = 150 km.

Correct Answer: C — 150 km

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Q. A bus travels from city A to city B, a distance of 150 km, at a speed of 50 km/h. How long does the journey take?

A. 2 hours
B. 2.5 hours
C. 3 hours
D. 3.5 hours

Solution

Time = Distance / Speed = 150 km / 50 km/h = 3 hours.

Correct Answer: B — 2.5 hours

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Q. A can complete a task in 18 days, B can complete it in 27 days. How long will they take to complete the task together?

A. 9 days
B. 10 days
C. 11 days
D. 12 days

Solution

A's rate = 1/18, B's rate = 1/27. Combined rate = 1/18 + 1/27 = 1/10. They will finish the task in 10 days.

Correct Answer: A — 9 days

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

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

Solution

Work done by A in one day = 1/10. Work done by B in one day = 1/15. Together, they do (1/10 + 1/15) = 1/6. Therefore, they will complete the work in 6 days.

Correct Answer: B — 8 days

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Q. A can do a piece of work in 12 days, while B can do it in 15 days. If they work together, how many days will they take to finish the work?

A. 6 days
B. 7 days
C. 8 days
D. 9 days

Solution

A's rate = 1/12, B's rate = 1/15. Combined rate = 1/12 + 1/15 = 1/60. They will finish the work in 60 days.

Correct Answer: C — 8 days

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Q. A can do a work in 40 days, B can do it in 60 days. How long will they take to complete the work together?

A. 20 days
B. 24 days
C. 30 days
D. 36 days

Solution

A's rate = 1/40, B's rate = 1/60. Combined rate = 1/40 + 1/60 = 1/24. They will finish the work in 24 days.

Correct Answer: B — 24 days

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Q. A can finish a job in 25 days, B can finish it in 30 days. How long will they take to finish the job together?

A. 12 days
B. 15 days
C. 18 days
D. 20 days

Solution

A's rate = 1/25, B's rate = 1/30. Combined rate = 1/25 + 1/30 = 1/14. They will finish the job in 14 days.

Correct Answer: B — 15 days

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Q. A car covers a distance of 240 km at a speed of 80 km/h. How long does the journey take?

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

Solution

Time = Distance / Speed = 240 km / 80 km/h = 3 hours.

Correct Answer: C — 4 hours

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Q. A car is bought for $20,000 and sold for $18,000. What is the loss percentage?

A. 10%
B. 12%
C. 8%
D. 15%

Solution

Loss = Cost Price - Selling Price = 20000 - 18000 = 2000. Loss Percentage = (Loss/Cost Price) * 100 = (2000/20000) * 100 = 10%.

Correct Answer: A — 10%

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Q. A car travels 120 km at a speed of 60 km/h. How long does it take to complete the journey?

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

Solution

Time = Distance / Speed = 120 km / 60 km/h = 2 hours.

Correct Answer: B — 2 hours

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Q. A car travels 120 km in 2 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 = 120 km / 2 h = 60 km/h.

Correct Answer: B — 60 km/h

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Q. A car travels 120 miles in 2 hours. What is its average speed?

A. 50 mph
B. 60 mph
C. 70 mph
D. 80 mph

Solution

Average Speed = Total Distance / Total Time = 120 miles / 2 hours = 60 mph

Correct Answer: B — 60 mph

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Q. A container has 60 liters of a solution that is 15% acid. If 10 liters of the solution is removed and replaced with water, what is the new percentage of acid?

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

Solution

Acid removed = 15% of 10L = 1.5L. Remaining acid = 9L. New total = 60L. New percentage = (9/60) * 100 = 15%.

Correct Answer: B — 12%

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Q. A container has 60 liters of a solution that is 40% acid. If 15 liters of the solution is removed and replaced with water, what is the new percentage of acid?

A. 30%
B. 35%
C. 40%
D. 25%

Solution

Acid removed = 40% of 15L = 6L. Remaining acid = 24L, new total = 60L, new acid % = (24/60)*100 = 40%.

Correct Answer: B — 35%

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Q. A cyclist covers a distance of 30 km in 1.5 hours. What is the average speed in km/h?

A. 18 km/h
B. 20 km/h
C. 22 km/h
D. 25 km/h

Solution

Average Speed = Total Distance / Total Time = 30 km / 1.5 h = 20 km/h.

Correct Answer: B — 20 km/h

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Q. A cyclist covers a distance of 45 km in 1.5 hours. What is the average speed?

A. 25 km/h
B. 30 km/h
C. 35 km/h
D. 40 km/h

Solution

Average Speed = Total Distance / Total Time = 45 km / 1.5 h = 30 km/h.

Correct Answer: B — 30 km/h

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Q. A cyclist travels at a speed of 15 km/h. How far can he travel in 3 hours?

A. 30 km
B. 45 km
C. 60 km
D. 75 km

Solution

Distance = Speed × Time = 15 km/h × 3 h = 45 km

Correct Answer: C — 60 km

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Q. A fruit seller has a ratio of apples to oranges as 3:2. If he has 30 apples, how many oranges does he have?

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

Solution

Let the number of oranges be x. The ratio gives us 30/x = 3/2. Cross-multiplying gives 3x = 60, so x = 20.

Correct Answer: A — 20

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Q. A fruit seller has a ratio of apples to oranges as 3:2. If he has 60 apples, how many oranges does he have?

A. 40
B. 30
C. 50
D. 20

Solution

Let the number of oranges be x. The ratio gives us 3/2 = 60/x. Cross-multiplying gives 3x = 120, so x = 40.

Correct Answer: A — 40

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Q. A invests $2000 at a rate of 5% per annum simple interest. How much interest will he earn in 3 years?

A. $300
B. $200
C. $150
D. $100

Solution

Simple Interest = Principal * Rate * Time / 100 = 2000 * 5 * 3 / 100 = $300.

Correct Answer: A — $300

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Q. A loan of $1,500 is taken at a compound interest rate of 6% per annum. What will be the amount after 2 years?

A. $1,686
B. $1,800
C. $1,900
D. $2,000

Solution

Amount = Principal * (1 + Rate)^Time = 1500 * (1 + 0.06)^2 = 1500 * 1.1236 = $1,686

Correct Answer: A — $1,686

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Arithmetic Aptitude

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