Q. If a product is marked at $200 and sold at a discount of 10%, what is the selling price?
A.
$180
B.
$190
C.
$200
D.
$170
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Solution
Discount = 10% of 200 = 20. Selling Price = Marked Price - Discount = 200 - 20 = $180.
Correct Answer:
A
— $180
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Q. If a product is sold for $120 after a 20% discount, what was the original price?
A.
$150
B.
$140
C.
$160
D.
$130
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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
— $150
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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
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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 sum of money doubles in 5 years at compound interest, what is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
Using the formula A = P(1 + r)^t, if A = 2P, then 2 = (1 + r)^5. Solving gives r = 10%.
Correct Answer:
A
— 10%
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Q. If a train travels 150 km in 3 hours, what is its speed in m/s?
A.
10 m/s
B.
12.5 m/s
C.
15 m/s
D.
20 m/s
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Solution
Speed in km/h = 150 km / 3 h = 50 km/h. To convert to m/s, multiply by (1000 m / 1 km) * (1 h / 3600 s) = 50 * (1000/3600) = 13.89 m/s.
Correct Answer:
B
— 12.5 m/s
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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
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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
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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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Q. What is the square root of 144?
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Solution
The square root of 144 is 12, since 12 * 12 = 144.
Correct Answer:
C
— 12
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Q. What is the sum of the first 10 natural numbers?
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Solution
The sum of the first n natural numbers is given by the formula n(n + 1)/2. For n = 10, the sum is 10(10 + 1)/2 = 10 * 11 / 2 = 55.
Correct Answer:
A
— 45
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Q. What is the value of 7^2 + 3^2?
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Solution
Calculating 7^2 = 49 and 3^2 = 9. Therefore, 49 + 9 = 58.
Correct Answer:
A
— 58
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