Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

Area Average Bankers Discount Boats and Streams Calendar Chain Rule Clock Compound Interest Decimal Fraction Height and Distance Logarithm Mixture Numbers Odd Man Out and Series Partnership Percentage Permutation and Combination Pipes and Cistern Probability Problems on Ages Problems on H.C.F and L.C.M Problems on Numbers Problems on Trains Profit and Loss Races and Games Ratio and Proportion Simple Interest Simplification Square Root and Cube Root Stocks and Shares Surds and Indices Time and Distance Time and Work True Discount Volume and Surface Area

Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?

A. 90
B. 95
C. 100
D. 85

Solution

Let the score in the fourth subject be x. The average is (80 + 90 + 70 + x) / 4 = 85. Thus, 240 + x = 340, so x = 100.

Correct Answer: B — 95

Learn More →

Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to achieve an average of 85?

A. 90
B. 95
C. 100
D. 85

Solution

Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Score needed = 340 - 240 = 100.

Correct Answer: B — 95

Learn More →

Q. A sum of $12000 is due in 5 years. If the bankers discount is $3000, what is the rate of interest?

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

Solution

Bankers Discount = Principal - Present Value. Present Value = 12000 - 3000 = 9000. Rate = (3000 × 100) / (12000 × 5) = 5%.

Correct Answer: B — 6%

Learn More →

Q. A sum of $1500 is due in 4 years. If the banker's discount is $240 at 6% per annum, what is the present worth?

A. $1260
B. $1300
C. $1400
D. $1500

Solution

Banker's Discount = P × R × T / 100. 240 = P × 6 × 4 / 100. P = $1260.

Correct Answer: A — $1260

Learn More →

Q. A sum of $1500 is invested at a simple interest rate of 4% per annum. How much interest will be earned in 5 years?

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

Solution

Simple Interest = (1500 * 4 * 5) / 100 = $300.

Correct Answer: B — $300

Learn More →

Q. A sum of $2500 is due in 3 years. If the banker's discount is $300 at 4% per annum, what is the present worth?

A. $2200
B. $2300
C. $2400
D. $2500

Solution

Banker's Discount = P × R × T / 100. 300 = P × 4 × 3 / 100. P = $2400.

Correct Answer: C — $2400

Learn More →

Q. A sum of $25000 is due in 2 years. If the bankers discount is $5000, what is the rate of interest?

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

Solution

Rate = (5000 × 100) / (25000 × 2) = 10%.

Correct Answer: B — 10%

Learn More →

Q. A sum of $3000 is invested at a compound interest rate of 7% per annum. What will be the total amount after 5 years?

A. $4200.00
B. $4205.00
C. $4210.00
D. $4215.00

Solution

Total Amount = 3000(1 + 0.07)^5 = 3000(1.402552) = 4207.66

Correct Answer: C — $4210.00

Learn More →

Q. A sum of $3000 is invested at a compound interest rate of 7% per annum. What will be the amount after 5 years?

A. $4210.00
B. $4000.00
C. $4500.00
D. $4100.00

Solution

Total Amount = 3000(1 + 0.07)^5 = 3000(1.402552) = 4207.66

Correct Answer: A — $4210.00

Learn More →

Q. A sum of $5000 is due in 2 years. What is the bankers discount at the rate of 10%?

A. $100
B. $200
C. $300
D. $400

Solution

Bankers Discount = (Principal × Rate × Time) / 100 = (5000 × 10 × 2) / 100 = $1000. The present value is $5000 / (1 + 0.10)^2 = $4132.23. Therefore, Bankers Discount = $5000 - $4132.23 = $867.77.

Correct Answer: B — $200

Learn More →

Q. A sum of money amounts to $1200 in 3 years at a certain rate of interest. If the true discount is $300, what is the present worth?

A. $900
B. $1000
C. $1100
D. $1200

Solution

Present Worth = Amount - True Discount. Therefore, Present Worth = 1200 - 300 = $900.

Correct Answer: A — $900

Learn More →

Q. A sum of money amounts to $1200 in 3 years at a certain rate of interest. If the true discount is $300, what is the rate of interest?

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

Solution

Let the present worth be x. Then, x + 300 = 1200, so x = 900. True Discount = x * Rate * Time / 100. 300 = 900 * Rate * 3 / 100. Rate = 10%.

Correct Answer: B — 6%

Learn More →

Q. A sum of money amounts to $1500 after 2 years at a certain rate of interest. If the true discount is $300, what is the present worth?

A. $1200
B. $1300
C. $1400
D. $1500

Solution

Present Worth = Amount - True Discount. Therefore, Present Worth = 1500 - 300 = $1200.

Correct Answer: A — $1200

Learn More →

Q. A sum of money amounts to $1500 after 5 years. If the true discount is $300, what is the present worth?

A. $1200
B. $1300
C. $1400
D. $1500

Solution

Present Worth = Amount - True Discount = 1500 - 300 = $1200.

Correct Answer: A — $1200

Learn More →

Q. A sum of money doubles in 5 years at simple interest. What is the rate of interest?

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

Solution

If the sum doubles, then the interest earned is equal to the principal. Rate = (Principal/Time) * 100 = (Principal/5) * 100 = 20%

Correct Answer: A — 10%

Learn More →

Q. A sum of money doubles itself in 10 years at compound interest. What is the rate of interest?

A. 7.2%
B. 10%
C. 5%
D. 12%

Solution

Using the Rule of 72, Rate = 72/10 = 7.2%

Correct Answer: A — 7.2%

Learn More →

Q. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest?

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

Solution

If the amount doubles, Interest = Principal. Rate = (Interest * 100) / (Principal * Time) = (Principal * 100) / (Principal * 10) = 10%.

Correct Answer: A — 5%

Learn More →

Q. A sum of money doubles itself in 5 years at compound interest. What is the rate of interest?

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

Solution

Using the formula A = P(1 + r)^n, if A = 2P, then 2 = (1 + r)^5. Solving gives r = 0.10 or 10%.

Correct Answer: A — 10%

Learn More →

Q. A sum of money invested at compound interest grows to $5000 in 4 years at a rate of 6% per annum. What was the principal?

A. $4000
B. $4500
C. $3500
D. $3000

Solution

Let P be the principal. A = P(1 + r)^n; 5000 = P(1 + 0.06)^4; P = 5000 / 1.262476 = $3960.00.

Correct Answer: B — $4500

Learn More →

Q. A sum of money is due in 2 years. If the banker's discount on it is $200 at 10% per annum, what is the present worth?

A. $1800
B. $2000
C. $2200
D. $2400

Solution

Banker's Discount = Principal × Rate × Time / 100. Let Principal = P. 200 = P × 10 × 2 / 100. P = $2000.

Correct Answer: B — $2000

Learn More →

Q. A sum of money is due in 6 years. If the banker's discount is $360 at 12% per annum, what is the present worth?

A. $2400
B. $3000
C. $3200
D. $3600

Solution

Banker's Discount = P × R × T / 100. 360 = P × 12 × 6 / 100. P = $3000.

Correct Answer: B — $3000

Learn More →

Q. A sum of money is invested at 15% per annum. If the true discount on it for 4 years is $240, what is the present worth?

A. $1000
B. $1200
C. $1400
D. $1600

Solution

True Discount = Present Worth * Rate * Time / 100. Let Present Worth = x. Then, 240 = x * 15 * 4 / 100. Solving gives x = $1200.

Correct Answer: B — $1200

Learn More →

Q. A sum of money is invested at 8% per annum. If the true discount on it for 2 years is $160, what is the present worth?

A. $800
B. $1000
C. $1200
D. $1400

Solution

True Discount = Present Worth * Rate * Time / 100. Let Present Worth = x. Then, 160 = x * 8 * 2 / 100. Solving gives x = $1000.

Correct Answer: B — $1000

Learn More →

Q. A sum of money is invested at a certain rate of interest for 4 years. If the true discount is $400, what is the present worth if the rate of interest is 5%?

A. $1600
B. $2000
C. $2400
D. $2800

Solution

Let Present Worth = x. True Discount = x * Rate * Time / 100. 400 = x * 5 * 4 / 100. Solving gives x = $2000.

Correct Answer: B — $2000

Learn More →

Q. A sum of money is invested at a rate of 10% per annum compound interest. How much will it amount to in 2 years if the principal is $1000?

A. $1100
B. $1200
C. $1210
D. $1300

Solution

Amount = P(1 + r)^n = 1000(1 + 0.10)^2 = 1000(1.21) = $1210.

Correct Answer: C — $1210

Learn More →

Q. A tank can be filled by a pipe in 10 hours and emptied by another pipe in 15 hours. If both pipes are opened together, how long will it take to fill the tank?

A. 5 hours
B. 6 hours
C. 10 hours
D. 12 hours

Solution

The net rate is 1/10 - 1/15 = 1/30. Therefore, it will take 30 hours to fill the tank.

Correct Answer: B — 6 hours

Learn More →

Q. A tank can be filled by a pipe in 10 hours and emptied by another pipe in 5 hours. If both pipes are opened together, how long will it take to fill the tank?

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

Solution

The net rate is 1/10 - 1/5 = -1/10. Therefore, the tank will never fill.

Correct Answer: C — 15 hours

Learn More →

Q. A tank can be filled by a pipe in 12 hours and emptied by another pipe in 18 hours. If both pipes are opened together, how long will it take to fill the tank?

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

Solution

The net rate is 1/12 - 1/18 = 1/36. Therefore, it will take 36 hours to fill the tank.

Correct Answer: C — 15 hours

Learn More →

Q. A tank can be filled by a pipe in 15 hours and emptied by another pipe in 10 hours. If both pipes are opened together, how long will it take to fill the tank?

A. 30 hours
B. 20 hours
C. 25 hours
D. 15 hours

Solution

The net rate is 1/15 - 1/10 = -1/30. Therefore, the tank will never fill.

Correct Answer: B — 20 hours

Learn More →

Q. A tank can be filled by a pipe in 15 hours and emptied by another pipe in 25 hours. If both pipes are opened together, how long will it take to fill the tank?

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

Solution

The net rate is 1/15 - 1/25 = 1/75. Therefore, it will take 75 hours to fill the tank.

Correct Answer: B — 12 hours

Learn More →

Showing 481 to 510 of 1390 (47 Pages)

Arithmetic Aptitude

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?