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 a sum of money doubles in 5 years at simple interest, what is the rate of interest?

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

Solution

Rate = (100 * Principal) / (Principal * Time) = (100 * 1) / (1 * 5) = 20%

Correct Answer: B — 20%

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Q. If a sum of money doubles itself in 5 years at simple interest, what is the rate of interest?

A. 10%
B. 12%
C. 15%
D. 20%

Solution

Rate = (100 * Principal) / (Principal * Time) = (100 * 1) / (1 * 5) = 20%. Therefore, the rate of interest is 20%.

Correct Answer: A — 10%

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Q. If a sum of money is invested at a compound interest rate of 12% per annum, how much will it grow in 2 years if the principal is $1500?

A. $1680
B. $1690
C. $1700
D. $1710

Solution

Total Amount = P(1 + r/100)^n = 1500(1 + 0.12)^2 = 1500(1.2544) = $1881.60.

Correct Answer: A — $1680

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Q. If a sum of money is invested at a compound interest rate of 5% per annum, how long will it take for the investment to double?

A. 14.4 years
B. 15 years
C. 10 years
D. 12 years

Solution

Using the Rule of 72, Time = 72 / Rate = 72 / 5 = 14.4 years.

Correct Answer: A — 14.4 years

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Q. If a train covers a distance of 300 km at a speed of 75 km/h, how long will it take?

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

Solution

Time = Distance / Speed = 300 km / 75 km/h = 4 hours

Correct Answer: B — 4 hours

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Q. If a train is moving at 90 km/h and a boat is moving at 30 km/h, how much faster is the train than the boat?

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

Solution

Difference in speed = Speed of train - Speed of boat = 90 km/h - 30 km/h = 60 km/h.

Correct Answer: A — 50 km/h

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Q. If a train travels 120 km in 2 hours, what is its speed in km/h?

A. 60 km/h
B. 70 km/h
C. 80 km/h
D. 90 km/h

Solution

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

Correct Answer: A — 60 km/h

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Q. If a train travels 120 km in 2 hours, what is its speed in m/s?

A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s

Solution

Speed = Distance / Time = 120 km / 2 h = 60 km/h = (60 * 1000) / (3600) = 16.67 m/s.

Correct Answer: C — 20 m/s

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Q. If a train travels 240 km in 3 hours, what is its speed in km/h?

A. 70 km/h
B. 80 km/h
C. 90 km/h
D. 100 km/h

Solution

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

Correct Answer: B — 80 km/h

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Q. If a train 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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Q. If a train travels at a speed of 90 km/h, how long will it take to cover 450 km?

A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours

Solution

Time = Distance / Speed = 450 km / 90 km/h = 5 hours.

Correct Answer: B — 5 hours

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Q. If a work can be completed by 10 men in 15 days, how many days will it take for 5 men to complete the same work?

A. 30
B. 35
C. 40
D. 45

Solution

Total work = 10 men * 15 days = 150 man-days. For 5 men, days required = 150 / 5 = 30 days.

Correct Answer: C — 40

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Q. If a worker can complete a task in 10 days, how much of the work will he complete in 3 days?

A. 1/10
B. 1/5
C. 3/10
D. 3/5

Solution

Work done in 1 day = 1/10. Work done in 3 days = 3 × (1/10) = 3/10.

Correct Answer: C — 3/10

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Q. If n is an even integer, which of the following is always odd?

A. n + 1
B. n + 2
C. n - 2
D. n - 1

Solution

n - 1 is odd since subtracting 1 from an even number results in an odd number.

Correct Answer: D — n - 1

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Q. If n is an odd integer, which of the following is always even?

A. n + 1
B. n - 1
C. 2n
D. All of the above

Solution

Both n + 1 and n - 1 are even, and 2n is always even.

Correct Answer: D — All of the above

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Q. If the average of 10 numbers is 20, what is the sum of those numbers?

A. 180
B. 200
C. 220
D. 240

Solution

Sum = Average × Number of items = 20 × 10 = 200.

Correct Answer: B — 200

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Q. If the average of five numbers is 20, what is the sum of those numbers?

A. 80
B. 100
C. 60
D. 40

Solution

Average = Sum of numbers / Number of numbers. Therefore, Sum = Average * Number = 20 * 5 = 100.

Correct Answer: A — 80

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Q. If the compound interest on a certain sum for 2 years at 10% per annum is $121, what is the principal amount?

A. $1000
B. $1100
C. $1200
D. $1300

Solution

Let Principal = P. Then, CI = P(1 + r/100)^n - P = P(1 + 0.1)^2 - P = P(1.21 - 1) = 0.21P. Given CI = 121, we have 0.21P = 121, thus P = 121 / 0.21 = $1000.

Correct Answer: A — $1000

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Q. If the compound interest on a sum of money for 2 years at 10% per annum is $121, what is the principal amount?

A. $1000
B. $1100
C. $1200
D. $1300

Solution

Using the formula for compound interest, A = P(1 + r/n)^(nt). Here, A = P + 121, r = 0.1, n = 1, t = 2. Solving gives P = 1000.

Correct Answer: A — $1000

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Q. If the principal amount is $1000 and the rate of interest is 5% per annum, what will be the simple interest for 3 years?

A. $150
B. $100
C. $50
D. $75

Solution

Simple Interest = Principal × Rate × Time / 100 = 1000 × 5 × 3 / 100 = $150.

Correct Answer: B — $100

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Q. If the profit on selling a bicycle for $240 is 20%, what was the cost price?

A. $180
B. $200
C. $220
D. $240

Solution

Let Cost Price = x. Then, Selling Price = x + 0.2x = 1.2x. 1.2x = 240, x = 240/1.2 = 200.

Correct Answer: B — $200

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Q. If the ratio of boys to girls in a class is 3:2 and there are 30 boys, how many girls are there?

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

Solution

Let the number of girls be x. Then, 3/2 = 30/x => x = (2/3) * 30 = 20.

Correct Answer: A — 20

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Q. If the ratio of boys to girls in a class is 4:5 and there are 36 boys, how many girls are there?

A. 45
B. 40
C. 50
D. 30

Solution

Let the number of girls be x. The ratio gives us 36/x = 4/5. Cross-multiplying gives 4x = 180, so x = 45.

Correct Answer: A — 45

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Q. If the ratio of investment between two partners is 3:2 and the total profit is $1,000, how much does the partner with the larger investment receive?

A. $400
B. $600
C. $700
D. $800

Solution

Total parts = 3 + 2 = 5. Larger partner's share = (3/5) * 1000 = $600

Correct Answer: B — $600

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Q. If the ratio of the principal to the total amount after 2 years at 10% compound interest is 1:1.21, what is the principal?

A. $1000
B. $1210
C. $1100
D. $900

Solution

Let Principal = P. Then, P(1 + 0.10)^2 = 1.21P. Therefore, P = $1000.

Correct Answer: A — $1000

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Q. If the sequence is defined by a_n = 3n + 1, what is a_4?

A. 10
B. 11
C. 12
D. 13

Solution

a_4 = 3(4) + 1 = 12 + 1 = 13.

Correct Answer: A — 10

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Q. If the simple interest on a sum of money is $150 in 3 years at a rate of 5% per annum, what is the principal amount?

A. $1000
B. $1200
C. $900
D. $800

Solution

Simple Interest = Principal * Rate * Time / 100. Let Principal = P. Then, 150 = P * 5 * 3 / 100. Solving gives P = 150 * 100 / 15 = 1000.

Correct Answer: A — $1000

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Q. If the simple interest on a sum of money is $200 for 2 years at a rate of 5% per annum, what is the principal amount?

A. $2000
B. $2500
C. $3000
D. $1500

Solution

Simple Interest = Principal * Rate * Time / 100. Therefore, Principal = (200 * 100) / (5 * 2) = $2000.

Correct Answer: A — $2000

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Q. If the simple interest on a sum of money is $300 in 3 years at a rate of 5% per annum, what is the principal?

A. $2000
B. $2500
C. $3000
D. $1500

Solution

Principal = Simple Interest / (Rate * Time) = 300 / (0.05 * 3) = 300 / 0.15 = $2000.

Correct Answer: A — $2000

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Q. If the simple interest on a sum of money is $300 in 5 years at a rate of 6% per annum, what is the principal?

A. $1000
B. $1200
C. $1500
D. $1800

Solution

SI = (P * r * t) / 100. Thus, 300 = (P * 6 * 5) / 100. Therefore, P = (300 * 100) / (6 * 5) = $1000.

Correct Answer: B — $1200

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Arithmetic Aptitude

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