Numbers: Essential Study Materials for Competitive Exams

Numbers

Q. A fruit seller sells apples at a profit of 15%. If the cost price of an apple is $2, what is the selling price?

A. $2.30
B. $2.50
C. $2.15
D. $2.20

Solution

Selling Price = Cost Price + Profit = 2 + (15% of 2) = 2 + 0.30 = $2.30.

Correct Answer: A — $2.30

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Q. A loan of $2000 is taken at a compound interest rate of 6% per annum. What will be the amount after 2 years?

A. $2240
B. $2120
C. $2400
D. $2200

Solution

Amount = Principal * (1 + Rate)^Time = 2000 * (1 + 0.06)^2 = 2000 * 1.1236 = $2247.20.

Correct Answer: A — $2240

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Q. A man bought a watch for $200 and sold it for $250. What is the profit percentage?

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

Solution

Profit = Selling Price - Cost Price = 250 - 200 = $50. Profit Percentage = (Profit / Cost Price) × 100 = (50 / 200) × 100 = 25%.

Correct Answer: A — 25%

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Q. A man can walk 4 km in 1 hour. How long will he take to walk 10 km?

A. 2 hours
B. 2.5 hours
C. 3 hours
D. 1.5 hours

Solution

Speed = 4 km/h. Time = Distance / Speed = 10 km / 4 km/h = 2.5 hours.

Correct Answer: B — 2.5 hours

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Q. A man spends 30% of his salary on rent and 20% on food. If his salary is $1000, how much does he spend on food?

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

Solution

Amount spent on food = 20% of $1000 = 0.2 * 1000 = $200.

Correct Answer: A — $200

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Q. A man walks 60 km in 12 hours. What is his speed in km/h?

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

Solution

Speed = Total Distance / Total Time = 60 km / 12 h = 5 km/h.

Correct Answer: B — 6 km/h

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Q. A number is increased by 20% and then decreased by 20%. What is the net change in the number?

A. 0%
B. 4%
C. 5%
D. 10%

Solution

Let the original number be 100. After a 20% increase, it becomes 120. After a 20% decrease, it becomes 120 - 24 = 96. The net change is (96 - 100)/100 * 100% = -4%.

Correct Answer: B — 4%

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Q. A number is increased by 20% and then decreased by 20%. What is the net change?

A. 0%
B. 4%
C. 5%
D. 10%

Solution

Let the number be 100. After a 20% increase, it becomes 120. After a 20% decrease, it becomes 120 - 24 = 96. The net change is (96 - 100)/100 * 100% = -4%.

Correct Answer: A — 0%

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Q. A person bought a bicycle for $200 and sold it for $180. What is the percentage loss?

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

Solution

Loss = Cost Price - Selling Price = 200 - 180 = 20. Percentage Loss = (Loss/Cost Price) * 100 = (20/200) * 100 = 10%.

Correct Answer: A — 10%

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Q. A person bought a bicycle for $300 and sold it for $270. What is the loss percentage?

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

Solution

Loss = Cost Price - Selling Price = 300 - 270 = 30. Loss Percentage = (Loss / Cost Price) * 100 = (30 / 300) * 100 = 10%.

Correct Answer: A — 10%

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Q. A person bought a watch for $120 and sold it for $90. What is the percentage loss?

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

Solution

Loss = Cost Price - Selling Price = 120 - 90 = 30. Percentage Loss = (Loss / Cost Price) * 100 = (30 / 120) * 100 = 25%.

Correct Answer: A — 25%

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Q. A product is sold for $120 after a discount of 20%. What was the original price?

A. $100
B. $120
C. $150
D. $140

Solution

Let the original price be x. Then, x - 0.2x = 120, 0.8x = 120, x = 120 / 0.8 = $150.

Correct Answer: A — $100

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Q. A shopkeeper bought a shirt for $40 and sold it for $50. What is the percentage profit?

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

Solution

Profit = Selling Price - Cost Price = 50 - 40 = 10. Percentage Profit = (Profit/Cost Price) * 100 = (10/40) * 100 = 25%.

Correct Answer: B — 25%

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Q. A student scored 80, 90, 70, and 85 in four subjects. What is the average score?

A. 80
B. 82.5
C. 85
D. 75

Solution

Average = (80 + 90 + 70 + 85) / 4 = 325 / 4 = 81.25, rounded to 82.5.

Correct Answer: B — 82.5

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Q. A student scored 80, 90, and 70 in three subjects. What is his average score?

A. 80
B. 85
C. 75
D. 90

Solution

Average = (80 + 90 + 70) / 3 = 240 / 3 = 80.

Correct Answer: A — 80

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Q. A student scores 80, 90, and 70 in three subjects. What is his average score?

A. 80
B. 85
C. 75
D. 90

Solution

Average = (80 + 90 + 70) / 3 = 240 / 3 = 80.

Correct Answer: B — 85

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Q. A train travels 120 km in 2 hours. How long will it take to travel 300 km at the same speed?

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

Solution

Speed = Distance / Time = 120 km / 2 h = 60 km/h. Time to travel 300 km = 300 km / 60 km/h = 5 hours.

Correct Answer: B — 6 hours

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Q. 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. 1/3

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 3x + 5 = 20, what is the value of x?

A. 3
B. 5
C. 7
D. 10

Solution

To solve for x, subtract 5 from both sides: 3x = 15. Then divide by 3: x = 5.

Correct Answer: A — 3

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Q. If 5x + 3 = 23, what is the value of x?

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

Solution

To solve for x, subtract 3 from both sides: 5x = 20. Then divide by 5: x = 4.

Correct Answer: B — 3

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Q. If a man can complete a work in 10 days, how much work can he complete in 4 days?

A. 1/2
B. 2/5
C. 3/5
D. 1/4

Solution

Work done in 1 day = 1/10. Work done in 4 days = 4 * (1/10) = 4/10 = 2/5.

Correct Answer: A — 1/2

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Q. If a man earns $1200 in 3 months, what will be his earnings in a year?

A. $3600
B. $2400
C. $3000
D. $1800

Solution

Earnings in a year = (1200 / 3) * 12 = $4800.

Correct Answer: A — $3600

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Q. If a number is divided by 6, the remainder is 4. What is the number?

A. 10
B. 16
C. 22
D. 28

Solution

A number that gives a remainder of 4 when divided by 6 can be expressed as 6k + 4. For k = 2, the number is 6*2 + 4 = 16.

Correct Answer: B — 16

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Q. If a number is multiplied by 3 and then decreased by 9, the result is 0. What is the number?

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

Solution

Let the number be x. The equation is 3x - 9 = 0. Solving gives x = 3.

Correct Answer: C — 3

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Q. If a number is multiplied by 9 and then decreased by 9, the result is 72. What is the number?

A. 8
B. 9
C. 10
D. 11

Solution

Let the number be x. The equation is 9x - 9 = 72. Adding 9 to both sides gives 9x = 81, so x = 81/9 = 9.

Correct Answer: A — 8

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Q. If a person borrows $5000 at a compound interest rate of 6% per annum, what will be the amount after 2 years?

A. $5632
B. $6000
C. $5300
D. $5500

Solution

Amount = Principal * (1 + Rate)^Time = 5000 * (1 + 0.06)^2 = 5000 * 1.1236 = $5618.

Correct Answer: A — $5632

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Q. If a person can complete a work in 10 days, how much work can 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 a person can do a piece of work in 15 days, how much work can he do in 5 days?

A. 1/3
B. 1/4
C. 1/5
D. 1/2

Solution

Work done in 5 days = 5/15 = 1/3 of the work.

Correct Answer: A — 1/3

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Q. If a person can run 100 meters in 12 seconds, what is his speed in meters per second?

A. 8.33 m/s
B. 9 m/s
C. 7.5 m/s
D. 10 m/s

Solution

Speed = Distance / Time = 100 m / 12 s = 8.33 m/s.

Correct Answer: A — 8.33 m/s

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Q. If a person invests $1000 at a simple interest rate of 5% per annum, how much interest will he earn in 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

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Showing 1 to 30 of 50 (2 Pages)

Numbers

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