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%
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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
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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 number is increased by 20% and then decreased by 20%. What is the net change in the number?
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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?
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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%
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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 product is sold for $120 after a discount of 20%. What was the original price?
A.
$100
B.
$120
C.
$150
D.
$140
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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%
Show solution
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
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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?
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Solution
Average = (80 + 90 + 70) / 3 = 240 / 3 = 80.
Correct Answer:
A
— 80
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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
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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. If 3x + 5 = 20, what is the value of x?
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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?
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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 number is divided by 6, the remainder is 4. What is the number?
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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?
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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?
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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 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
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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 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
Show solution
Solution
Simple Interest = Principal * Rate * Time = 1000 * 5/100 * 3 = $150.
Correct Answer:
B
— $100
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Q. If a shirt is sold for $30 after a profit of 50%, what was the cost price?
A.
$20
B.
$25
C.
$15
D.
$10
Show solution
Solution
Let Cost Price = x. Selling Price = x + 0.5x = 1.5x. 1.5x = 30, x = 30 / 1.5 = $20.
Correct Answer:
A
— $20
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Q. If a train travels 300 km in 5 hours, what is its average speed?
A.
50 km/h
B.
60 km/h
C.
70 km/h
D.
80 km/h
Show solution
Solution
Average Speed = Total Distance / Total Time = 300 km / 5 h = 60 km/h.
Correct Answer:
B
— 60 km/h
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Q. If the population of a town increases from 20,000 to 25,000, what is the percentage increase?
A.
20%
B.
25%
C.
30%
D.
15%
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Solution
Percentage Increase = [(New Population - Old Population) / Old Population] × 100 = [(25000 - 20000) / 20000] × 100 = 25%.
Correct Answer:
B
— 25%
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Q. If the ratio of boys to girls in a class is 3:2 and there are 30 students, how many girls are there?
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Solution
Let the number of boys be 3x and girls be 2x. Then, 3x + 2x = 30, which gives 5x = 30, so x = 6. Therefore, the number of girls is 2x = 12.
Correct Answer:
B
— 12
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Q. If the ratio of boys to girls in a class is 3:4 and there are 28 girls, how many boys are there?
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Solution
Let the number of boys be 3x and girls be 4x. Given 4x = 28, we find x = 7. Thus, boys = 3x = 3*7 = 21.
Correct Answer:
A
— 21
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Show solution
Solution
15% of 200 is calculated as (15/100) * 200 = 30.
Correct Answer:
B
— 30
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Show solution
Solution
25% of 200 is calculated as (25/100) * 200 = 50.
Correct Answer:
B
— 50
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Q. What is the average of the numbers 10, 20, 30, 40, and 50?
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Solution
Average = (10 + 20 + 30 + 40 + 50) / 5 = 150 / 5 = 30.
Correct Answer:
A
— 30
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Q. What is the greatest common divisor (GCD) of 24 and 36?
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Solution
The GCD of 24 and 36 can be found by listing the factors: 24 = 2^3 * 3, 36 = 2^2 * 3^2. The GCD is 2^2 * 3 = 12.
Correct Answer:
C
— 12
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Q. What is the least common multiple (LCM) of 12 and 15?
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Solution
The LCM of two numbers is found by taking the highest power of each prime factor. The prime factorization of 12 is 2^2 * 3 and for 15 is 3 * 5. Thus, LCM = 2^2 * 3 * 5 = 60.
Correct Answer:
B
— 60
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Q. What is the product of the first 4 prime numbers?
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Solution
The first 4 prime numbers are 2, 3, 5, and 7. Their product is 2 * 3 * 5 * 7 = 210.
Correct Answer:
A
— 30
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Q. What is the product of the first 5 prime numbers?
A.
30
B.
210
C.
2310
D.
30030
Show solution
Solution
The first 5 prime numbers are 2, 3, 5, 7, and 11. Their product is 2 * 3 * 5 * 7 * 11 = 2310.
Correct Answer:
C
— 2310
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Q. What is the product of the first three prime numbers?
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Solution
The first three prime numbers are 2, 3, and 5. Their product is 2 * 3 * 5 = 30.
Correct Answer:
A
— 30
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