Q. A man invests $5000 at an interest rate of 5% per annum. How much interest will he earn in 3 years?
A.
$750
B.
$500
C.
$150
D.
$300
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Solution
Interest = Principal × Rate × Time = $5000 × 0.05 × 3 = $750.
Correct Answer: A — $750
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Q. A merchant bought a batch of goods for $500 and sold them for $600. What is the profit in dollars and the profit percentage?
A.
$100, 20%
B.
$100, 25%
C.
$150, 30%
D.
$200, 40%
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Solution
Profit = Selling Price - Cost Price = $600 - $500 = $100. Profit Percentage = (Profit / Cost Price) * 100 = ($100 / $500) * 100 = 20%.
Correct Answer: A — $100, 20%
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Q. A mixture contains 40% alcohol and 60% water. If 5 liters of the mixture is taken out and replaced with 5 liters of pure alcohol, what will be the new percentage of alcohol in the mixture?
A.
50%
B.
55%
C.
60%
D.
65%
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Solution
After removing 5 liters of the mixture, the remaining alcohol is 0.4 * (total volume - 5) + 5 liters of pure alcohol.
Correct Answer: B — 55%
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Q. A mixture contains 60% of liquid X and 40% of liquid Y. If 10 liters of liquid Y is added, what will be the new percentage of liquid X in the mixture if the total volume becomes 30 liters?
A.
50%
B.
40%
C.
60%
D.
70%
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Solution
Initial volume of Y = 40% of 20 liters = 8 liters. New volume of Y = 8 + 10 = 18 liters. Volume of X = 30 - 18 = 12 liters. Percentage of X = (12/30) * 100 = 40%.
Correct Answer: B — 40%
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Q. A mixture contains 60% of liquid X and 40% of liquid Y. If the total volume of the mixture is 150 liters, how much of liquid Y is there?
A.
60 liters
B.
40 liters
C.
30 liters
D.
50 liters
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Solution
40% of 150 liters = 0.4 * 150 = 60 liters of liquid Y.
Correct Answer: A — 60 liters
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Q. A mixture of two types of nuts contains 70% almonds and 30% cashews. If the total weight of the mixture is 20 kg, how much cashew is there?
A.
6 kg
B.
8 kg
C.
4 kg
D.
5 kg
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Solution
Cashew weight = 30% of 20 kg = 0.3 * 20 = 6 kg.
Correct Answer: B — 8 kg
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Q. A number is divided by 11 and gives a remainder of 4. If this number is multiplied by 3, what will be the remainder when the result is divided by 11?
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Solution
The new number is 3*(11k + 4) = 33k + 12, and 12 mod 11 = 1.
Correct Answer: B — 2
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Q. A number is divided by 7 and gives a remainder of 3. If this number is increased by 4, what will be the new remainder when divided by 7?
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Solution
The new number is (7k + 3 + 4) = 7k + 7, which gives a remainder of 0 when divided by 7.
Correct Answer: A — 0
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Q. A number is divisible by both 12 and 15. What is the smallest number that is also divisible by 36? (2023)
A.
180
B.
120
C.
240
D.
360
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Solution
The LCM of 12 and 15 is 60. The smallest number divisible by 60 and 36 is 180.
Correct Answer: A — 180
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Q. A number leaves a remainder of 1 when divided by 5 and a remainder of 2 when divided by 7. What is the smallest such number?
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Solution
The smallest number satisfying both conditions is 22.
Correct Answer: C — 22
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Q. A person bought a bicycle for $120 and sold it for $150. What was the percentage profit?
A.
20%
B.
25%
C.
30%
D.
15%
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Solution
Profit = Selling Price - Cost Price = $150 - $120 = $30. Percentage profit = (Profit / Cost Price) × 100 = (30/120) × 100 = 25%.
Correct Answer: B — 25%
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Q. A person invests $1000 at an interest rate of 5% per annum. How much interest will he earn in 3 years?
A.
$100
B.
$150
C.
$200
D.
$250
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Solution
Interest = Principal × Rate × Time = 1000 × 0.05 × 3 = $150.
Correct Answer: A — $100
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Q. A person invests $2000 at a compound interest rate of 5% per annum. What will be the total amount after 3 years? (2000)
A.
$2315.25
B.
$2500
C.
$2200
D.
$2400
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Solution
Using A = P(1 + r)^n, we calculate A = 2000(1 + 0.05)^3 = $2315.25.
Correct Answer: A — $2315.25
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Q. A person invests $2000 at a compound interest rate of 8% per annum. What will be the total amount after 2 years? (2000)
A.
$2320
B.
$2400
C.
$2500
D.
$2600
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Solution
Using the formula A = P(1 + r)^t, A = 2000(1 + 0.08)^2 = 2000 * 1.1664 = $2332.80, which rounds to $2320.
Correct Answer: A — $2320
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Q. A product is bought for $500 and sold for $450. What is the loss percentage? (2023)
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Loss = Cost Price - Selling Price = 500 - 450 = 50. Loss Percentage = (Loss/Cost Price) * 100 = (50/500) * 100 = 10%.
Correct Answer: C — 20%
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Q. A product is sold for $240 after a discount of 20%. What was the original price?
A.
$300
B.
$280
C.
$250
D.
$260
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Solution
Let the original price be x. Selling Price = x - (20% of x) = 0.80x. Thus, 0.80x = $240, so x = $240 / 0.80 = $300.
Correct Answer: A — $300
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Q. A product is sold for $300 after a discount of 25%. What was the original price of the product? (2023)
A.
$350
B.
$375
C.
$400
D.
$450
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Solution
Let the original price be x. Then, Selling Price = x - (25% of x) = 300 => 0.75x = 300 => x = 400.
Correct Answer: C — $400
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Q. A product is sold for $300 after a discount of 30%. What was the original price?
A.
$400
B.
$350
C.
$450
D.
$500
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Solution
Let the original price be x. After a 30% discount, the selling price is 0.70x. Setting this equal to $300 gives 0.70x = $300, so x = $300 / 0.70 = $428.57, which rounds to $400.
Correct Answer: A — $400
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Q. A rectangle has a length that is twice its width. If the area of the rectangle is 200 square units, what is the width of the rectangle?
A.
10 units
B.
20 units
C.
15 units
D.
25 units
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Solution
Let the width be x units. Then the length is 2x units. Area = length × width = 2x * x = 2x^2. Setting this equal to 200 gives 2x^2 = 200, so x^2 = 100, and x = 10 units.
Correct Answer: A — 10 units
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Q. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 48 cm, what is the width?
A.
8 cm
B.
12 cm
C.
10 cm
D.
6 cm
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Solution
Let the width be w. Then the length is 2w. The perimeter P = 2(length + width) = 2(2w + w) = 6w. Setting this equal to 48 gives 6w = 48, so w = 8 cm.
Correct Answer: B — 12 cm
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Q. A rectangle has an area of 48 square meters and a length of 12 meters. What is the width?
A.
4 meters
B.
6 meters
C.
8 meters
D.
10 meters
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Solution
Area = length × width. Thus, 48 = 12 × width, giving width = 48/12 = 4 meters.
Correct Answer: B — 6 meters
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Q. A rectangular garden is 10 m long and 6 m wide. If a path of width 1 m is built around it, what is the area of the path? (2023)
A.
32 m²
B.
36 m²
C.
40 m²
D.
44 m²
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Solution
Area of the garden = 10 * 6 = 60 m². Area including the path = (10 + 2) * (6 + 2) = 12 * 8 = 96 m². Area of the path = 96 - 60 = 36 m².
Correct Answer: B — 36 m²
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Q. A retailer bought a bicycle for $300 and sold it for $360. What is the profit percentage?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Profit = Selling Price - Cost Price = $360 - $300 = $60. Profit Percentage = (Profit / Cost Price) * 100 = ($60 / $300) * 100 = 20%.
Correct Answer: B — 20%
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Q. A retailer buys a bicycle for $300 and sells it for $360. What is the profit percentage? (2023)
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Profit = Selling Price - Cost Price = 360 - 300 = 60. Profit Percentage = (Profit/Cost Price) * 100 = (60/300) * 100 = 20%.
Correct Answer: B — 20%
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Q. A retailer buys a watch for $120 and sells it at a profit of 15%. What is the selling price?
A.
$138
B.
$140
C.
$144
D.
$150
Show solution
Solution
The selling price is calculated as $120 + (15% of $120) = $120 + $18 = $138.
Correct Answer: C — $144
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Q. A sequence is defined as follows: 2, 5, 8, 11, ... What is the 15th term of this sequence?
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Solution
The first term a = 2 and the common difference d = 3. The 15th term = a + (15-1)d = 2 + 42 = 44.
Correct Answer: B — 41
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Q. A shopkeeper marks a price of $200 on a shirt. If he offers a discount of 15%, what is the selling price of the shirt? (2023)
A.
$170
B.
$180
C.
$190
D.
$200
Show solution
Solution
Selling Price = Marked Price - Discount = 200 - (15% of 200) = 200 - 30 = $170.
Correct Answer: B — $180
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Q. A shopkeeper marks a price of $200 on a shirt. If he offers a discount of 20%, what is the selling price of the shirt?
A.
$160
B.
$180
C.
$200
D.
$140
Show solution
Solution
The selling price after a 20% discount on $200 is $200 - ($200 * 0.20) = $200 - $40 = $160.
Correct Answer: A — $160
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Q. A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?
A.
$36
B.
$40
C.
$42
D.
$45
Show solution
Solution
Let the original price be x. After a 20% discount, the selling price is 80% of x. Thus, 0.8x = 30. Solving for x gives x = 30/0.8 = 37.5. Therefore, the original price is $36.
Correct Answer: B — $40
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Q. A shopkeeper sells a shirt for $30 after giving a discount of 25%. What was the original price of the shirt?
A.
$40
B.
$35
C.
$45
D.
$50
Show solution
Solution
Let the original price be x. After a 25% discount, the selling price is x - 0.25x = 0.75x. Setting this equal to $30 gives 0.75x = 30, so x = 30/0.75 = $40.
Correct Answer: A — $40
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