Simplification Techniques for Competitive Exam Success

Simplification

Q. A car travels 60 km in 1 hour. How far will it travel in 2.5 hours?

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed * Time = 60 * 2.5 = 150 km.

Correct Answer: B — 150 km

Learn More →

Q. A product is sold for $120 after a 25% profit. What was the cost price?

A. $90
B. $100
C. $80
D. $70

Solution

Let the cost price be x. Then, x + 0.25x = 120 => 1.25x = 120 => x = 120 / 1.25 = 96.

Correct Answer: A — $90

Learn More →

Q. If a person invests $500 at a compound interest rate of 4% per annum for 2 years, what will be the total amount?

A. $520.80
B. $540.80
C. $550.00
D. $560.00

Solution

Total Amount = P(1 + r/n)^(nt) = 500(1 + 0.04)^2 = 500 * 1.0816 = $540.80.

Correct Answer: B — $540.80

Learn More →

Q. If a product is bought for $80 and sold for $100, what is the loss percentage?

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

Solution

Loss = Cost Price - Selling Price = 80 - 100 = -20. Loss Percentage = (20/80) * 100 = 25%.

Correct Answer: D — 10%

Learn More →

Q. If a product is sold for $80 after a 20% discount, what was the original price?

A. $100
B. $90
C. $80
D. $70

Solution

Let original price be x. 80 = x - (20/100)x. Solving gives x = $100.

Correct Answer: A — $100

Learn More →

Q. If a shirt is sold for $40 after a 20% discount, what was the original price?

A. $50
B. $45
C. $60
D. $55

Solution

Let the original price be x. Then, x - 0.2x = 40 => 0.8x = 40 => x = 50.

Correct Answer: A — $50

Learn More →

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

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

Solution

Work = 5 men * 10 days = 50 man-days. 10 men will take 50/10 = 5 days.

Correct Answer: A — 5

Learn More →

Q. If a worker can complete a job in 10 days, how much of the job can he complete in 2 days?

A. 1/5
B. 1/10
C. 1/2
D. 1/4

Solution

Work done in 1 day = 1/10. Work done in 2 days = 2/10 = 1/5.

Correct Answer: A — 1/5

Learn More →

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

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

Solution

In 1 day, the worker completes 1/10 of the job. In 3 days, he completes 3 * (1/10) = 3/10.

Correct Answer: C — 3/10

Learn More →

Q. If the compound interest on an amount for 2 years is $200 at a rate of 10%, what is the principal?

A. $1000
B. $1500
C. $1200
D. $800

Solution

Using the formula for compound interest, P = A / (1 + r)^n. Here, A = 200 + P, r = 0.1, n = 2.

Correct Answer: A — $1000

Learn More →

Q. If the ratio of boys to girls in a class is 3:2, how many boys are there if there are 20 girls?

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

Solution

Let the number of boys be 3x and girls be 2x. 2x = 20, so x = 10. Boys = 3x = 30.

Correct Answer: A — 30

Learn More →

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

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

Solution

Let the number of girls be 2x and boys be 3x. 3x = 30, so x = 10. Number of girls = 2x = 20.

Correct Answer: A — 20

Learn More →

Q. If the ratio of boys to girls in a class is 3:2, what fraction of the class are boys?

A. 3/5
B. 2/5
C. 1/2
D. 1/3

Solution

Total parts = 3 + 2 = 5. Fraction of boys = 3/5.

Correct Answer: A — 3/5

Learn More →

Q. If the ratio of the ages of A and B is 4:5 and A is 20 years old, how old is B?

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

Solution

If A's age is 4x and B's age is 5x, then 4x = 20 => x = 5. Therefore, B's age = 5x = 25.

Correct Answer: A — 25

Learn More →

Q. If the sum of two numbers is 50 and their ratio is 2:3, what are the numbers?

A. 20 and 30
B. 25 and 25
C. 15 and 35
D. 10 and 40

Solution

Let the numbers be 2x and 3x. Then, 2x + 3x = 50, 5x = 50, x = 10. The numbers are 20 and 30.

Correct Answer: A — 20 and 30

Learn More →

Q. The average of 5, 10, 15, 20, and x is 12. What is the value of x?

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

Solution

Average = (5 + 10 + 15 + 20 + x) / 5 = 12. Therefore, 50 + x = 60, so x = 10.

Correct Answer: B — 10

Learn More →

Q. The average of 5, 10, 15, and x is 12. What is the value of x?

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

Solution

Average = (5 + 10 + 15 + x) / 4 = 12. Therefore, 5 + 10 + 15 + x = 48, x = 48 - 30 = 18.

Correct Answer: C — 20

Learn More →

Q. What is the average of the numbers 10, 20, 30, and 40?

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

Solution

Average = (10 + 20 + 30 + 40) / 4 = 100 / 4 = 25.

Correct Answer: B — 30

Learn More →

Q. What is the compound interest on $2000 at a rate of 10% per annum for 2 years?

A. $400
B. $220
C. $242
D. $200

Solution

Compound Interest = P(1 + r/n)^(nt) - P = 2000(1 + 0.1)^2 - 2000 = 2000(1.21) - 2000 = $242.

Correct Answer: C — $242

Learn More →

Q. What is the simple interest on $1000 at a rate of 5% per annum for 3 years?

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

Solution

Simple Interest = Principal * Rate * Time = 1000 * (5/100) * 3 = $150.

Correct Answer: B — $100

Learn More →

Showing 1 to 20 of 20 (1 Pages)

Simplification

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