Management Admissions
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%
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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%
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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
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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
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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
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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
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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
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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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Q. A solution contains 20% sugar. If 5 liters of the solution is taken, how much sugar is in that solution?
A.
1 liter
B.
0.5 liters
C.
2 liters
D.
1.5 liters
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Solution
Sugar in 5 liters = 20% of 5 = 0.2 * 5 = 1 liter.
Correct Answer: A — 1 liter
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Q. A solution contains 25% alcohol. If 200 ml of the solution is taken, how much alcohol is present in it?
A.
50 ml
B.
25 ml
C.
75 ml
D.
100 ml
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Solution
25% of 200 ml = 0.25 * 200 = 50 ml of alcohol.
Correct Answer: A — 50 ml
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Q. A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If solution A contains 20% salt and solution B contains 10% salt, what is the percentage of salt in the final mixture?
A.
15%
B.
16%
C.
17%
D.
18%
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Solution
Total salt = (3 * 0.2) + (5 * 0.1) = 0.6 + 0.5 = 1.1. Total mixture = 3 + 5 = 8. Percentage = (1.1/8) * 100 = 13.75%.
Correct Answer: A — 15%
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Q. A square has a perimeter of 40 cm. What is the area of the square?
A.
100 cm²
B.
200 cm²
C.
150 cm²
D.
250 cm²
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Solution
Perimeter of a square = 4 × side. Thus, 40 = 4 × side, giving side = 10 cm. Area = side² = 10² = 100 cm².
Correct Answer: A — 100 cm²
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Q. A store offers a 30% discount on a jacket originally priced at $200. If the store then increases the price by 10% after the discount, what is the final price?
A.
$140
B.
$150
C.
$160
D.
$170
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Solution
Discounted Price = $200 - ($200 * 0.30) = $200 - $60 = $140. After a 10% increase, Final Price = $140 + ($140 * 0.10) = $140 + $14 = $154.
Correct Answer: C — $160
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Q. A store offers a 30% discount on a jacket that is originally priced at $200. If the store then applies an additional 10% discount on the already discounted price, what is the final selling price? (2023)
A.
$140
B.
$150
C.
$160
D.
$170
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Solution
First discount: $200 - (30% of $200) = $200 - $60 = $140. Second discount: $140 - (10% of $140) = $140 - $14 = $126.
Correct Answer: A — $140
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Q. A store offers a discount of 25% on a product. If the selling price is $75, what was the original price?
A.
$100
B.
$90
C.
$80
D.
$70
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Solution
Let the original price be x. After a 25% discount, the selling price is 0.75x. Setting this equal to $75 gives 0.75x = $75, so x = $75 / 0.75 = $100.
Correct Answer: A — $100
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Q. A student scored 60, 70, and 80 in three subjects. If he wants to achieve an average of 75, what score does he need in the fourth subject? (2023)
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Solution
Let the score in the fourth subject be x. The average is (60 + 70 + 80 + x) / 4 = 75. Solving gives x = 85.
Correct Answer: D — 85
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Q. A sum of money invested at compound interest becomes $1500 in 2 years and $1800 in 3 years. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
The interest for the third year is $300 (1800 - 1500). The principal for the second year is $1500, so the rate is (300/1500) * 100 = 20%.
Correct Answer: B — 12%
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Q. A sum of money invested at compound interest becomes $1600 in 2 years and $1764 in 3 years. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
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Solution
The amount increases from $1600 to $1764 in one year, which is an increase of $164. The rate can be calculated as (164/1600) * 100 = 10.25%, which rounds to approximately 12%.
Correct Answer: B — 12%
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Q. A sum of money invested at compound interest grows to $1500 in 2 years and to $1800 in 3 years. What is the rate of interest?
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Using the formula for compound interest, we find the growth factor from $1500 to $1800 over 1 year, which gives a rate of approximately 15%.
Correct Answer: B — 15%
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Q. A sum of money is invested at a certain rate of compound interest. If the amount becomes three times in 10 years, what is the rate of interest?
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Using the formula A = P(1 + r)^t, where A = 3P, t = 10. Solving for r gives r = (3^(1/10)) - 1, which approximates to 15%.
Correct Answer: B — 15%
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Q. A sum of money is invested at a compound interest rate of 12% per annum. How long will it take for the investment to double?
A.
5 years
B.
6 years
C.
7 years
D.
8 years
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Solution
Using the rule of 72, 72/12 = 6 years to double the investment.
Correct Answer: B — 6 years
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Q. A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
A.
60%
B.
70%
C.
50%
D.
80%
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Solution
Using the principle of inclusion-exclusion, the percentage of people who like either apples or bananas is 40% + 30% - 10% = 60%.
Correct Answer: A — 60%
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Q. A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?
A.
100%
B.
90%
C.
80%
D.
70%
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Solution
Using inclusion-exclusion, the percentage of people who like either flavor is 70% + 50% - 20% = 100%.
Correct Answer: C — 80%
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Q. A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)
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Solution
The HCF of 48 and 60 is 12, which is the maximum number of students she can distribute to equally.
Correct Answer: A — 12
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Q. A teacher has an average of 85% in her class. If she has 20 students, what is the total percentage score of the class? (2023)
A.
1600%
B.
1700%
C.
1800%
D.
1900%
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Solution
Total percentage score = Average percentage × Number of students = 85% × 20 = 1700%.
Correct Answer: A — 1600%
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Q. A teacher has an average score of 85 for her class of 20 students. If one student scores 95, what will be the new average if the class size increases to 21? (2023)
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Solution
Total score = 85 × 20 + 95 = 1700 + 95 = 1795. New average = 1795 / 21 = 85.95, which rounds to 86.
Correct Answer: C — 86
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Q. A train leaves a station and travels at a speed of 90 km/h. How long will it take to travel 270 km?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
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Solution
Time = Distance / Speed. Here, time = 270 km / 90 km/h = 3 hours.
Correct Answer: B — 3 hours
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Q. A train travels 120 km at a speed of 60 km/h. How long does it take to complete the journey?
A.
1 hour
B.
1.5 hours
C.
2 hours
D.
2.5 hours
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Solution
Time = Distance / Speed = 120 km / 60 km/h = 2 hours.
Correct Answer: C — 2 hours
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Q. A trapezium has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is its area? (2023)
A.
32 cm²
B.
36 cm²
C.
40 cm²
D.
44 cm²
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Solution
Area = (1/2) * (base1 + base2) * height = (1/2) * (10 + 6) * 4 = 32 cm².
Correct Answer: A — 32 cm²
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