General Aptitude Study Materials for Competitive Exams

General Aptitude

Arithmetic Aptitude Data Interpretation

Q. A product's price increased from $200 to $250. What is the percentage increase in the price?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Percentage increase = ((250 - 200)/200)*100 = (50/200)*100 = 25%.

Correct Answer: B — 25%

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Q. A product's price increased from $200 to $250. What is the percentage increase in price?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Percentage increase = ((250 - 200) / 200) * 100 = (50 / 200) * 100 = 25%.

Correct Answer: B — 25%

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Q. A product's price increased from $50 to $65. What is the percentage increase in the price?

A. 25%
B. 30%
C. 35%
D. 40%

Solution

Increase = 65 - 50 = 15; Percentage increase = (15/50) * 100 = 30%.

Correct Answer: B — 30%

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Q. A product's price increased from $80 to $100. What is the percentage increase?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Percentage increase = ((100 - 80) / 80) * 100 = (20 / 80) * 100 = 25%.

Correct Answer: B — 25%

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Q. A recipe requires sugar and flour in the ratio of 2:3. If there are 10 cups of flour, how many cups of sugar are needed?

A. 4
B. 6
C. 8
D. 5

Solution

Let sugar be 2x and flour be 3x. Given 3x = 10, x = 10/3. Therefore, sugar = 2x = 2*(10/3) = 20/3 ≈ 6.67.

Correct Answer: A — 4

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Q. A recipe requires sugar and flour in the ratio of 2:3. If there are 15 cups of flour, how many cups of sugar are needed?

A. 10
B. 8
C. 12
D. 6

Solution

Let sugar be 2x and flour be 3x. Given 3x = 15, x = 5. Therefore, sugar = 2x = 2*5 = 10.

Correct Answer: A — 10

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Q. A rectangle has an area of 72 cm² and a length of 12 cm. What is its width?

A. 6 cm
B. 8 cm
C. 4 cm
D. 10 cm

Solution

Area = length × width. Therefore, width = Area/length = 72 cm²/12 cm = 6 cm.

Correct Answer: B — 8 cm

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Q. A rectangle has an area of 72 m² and a length of 12 m. What is its width?

A. 6 m
B. 8 m
C. 4 m
D. 10 m

Solution

Area = length × width; width = Area / length = 72 m² / 12 m = 6 m.

Correct Answer: B — 8 m

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Q. A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 2 cm. What is the total surface area of the box?

A. 70 cm²
B. 60 cm²
C. 100 cm²
D. 80 cm²

Solution

Surface Area = 2(lw + lh + wh) = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2 * 80 = 160 cm².

Correct Answer: A — 70 cm²

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Q. A rectangular field has a length of 50 meters and a width of 30 meters. What is the area of the field in square meters?

A. 1500
B. 1800
C. 2000
D. 2500

Solution

Area = length × width = 50 × 30 = 1500 square meters.

Correct Answer: A — 1500

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Q. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the area of the garden in square meters?

A. 300
B. 250
C. 400
D. 350

Solution

Area = length × width = 20 × 15 = 300 square meters.

Correct Answer: A — 300

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Q. A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built around it, what is the area of the path?

A. 80 m²
B. 100 m²
C. 60 m²
D. 120 m²

Solution

Total area with path = (15+2) × (10+2) = 17 × 12 = 204 m². Area of garden = 15 × 10 = 150 m². Area of path = 204 - 150 = 54 m².

Correct Answer: A — 80 m²

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Q. A rectangular garden is 15 meters long and 10 meters wide. What is the area of the garden in square meters?

A. 100
B. 120
C. 150
D. 200

Solution

Area = length × width = 15 × 10 = 150 square meters.

Correct Answer: B — 120

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Q. A rectangular plot has an area of 180 square meters and a length of 15 meters. What is the width of the plot?

A. 12
B. 10
C. 15
D. 14

Solution

Width = Area / length = 180 / 15 = 12 meters.

Correct Answer: A — 12

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Q. A rectangular plot has an area of 240 square meters and a length of 20 meters. What is the width of the plot in meters?

A. 10
B. 12
C. 14
D. 16

Solution

Area = length × width; 240 = 20 × width; width = 240 / 20 = 12 meters.

Correct Answer: B — 12

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Q. A rectangular prism has dimensions 3 cm, 4 cm, and 5 cm. What is the volume of the prism?

A. 60 cm³
B. 12 cm³
C. 15 cm³
D. 20 cm³

Solution

Volume = length * width * height = 3 * 4 * 5 = 60 cm³.

Correct Answer: A — 60 cm³

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Q. A rectangular room is 8 meters long and 6 meters wide. What is the area of the room in square meters?

A. 40
B. 48
C. 50
D. 60

Solution

Area = length × width = 8 × 6 = 48 square meters.

Correct Answer: B — 48

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Q. A rectangular swimming pool is 20 meters long and 10 meters wide. What is the area of the pool in square meters?

A. 150
B. 200
C. 250
D. 300

Solution

Area = length × width = 20 × 10 = 200 square meters.

Correct Answer: B — 200

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Q. A rectangular swimming pool is 25 meters long and 10 meters wide. What is the area of the pool?

A. 250
B. 200
C. 300
D. 150

Solution

Area = length × width = 25 × 10 = 250 square meters.

Correct Answer: A — 250

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Q. A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?

A. 120 cm²
B. 140 cm²
C. 160 cm²
D. 180 cm²

Solution

Area = (d1 × d2)/2 = (10 cm × 24 cm)/2 = 120 cm².

Correct Answer: A — 120 cm²

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Q. A seller bought a watch for $150 and sold it for $120. What is the loss in dollars?

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

Solution

Loss = Cost Price - Selling Price = 150 - 120 = 30.

Correct Answer: A — $20

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Q. A shirt is sold for $240 after a discount of 20%. What was the original price of the shirt?

A. $200
B. $220
C. $240
D. $300

Solution

Let the original price be x. After a 20% discount, the selling price is x - 0.2x = 0.8x. Given 0.8x = 240, we find x = 240 / 0.8 = 300.

Correct Answer: A — $200

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Q. A shirt is sold for $30 after a discount of 25%. What was the original price of the shirt?

A. $35
B. $40
C. $45
D. $50

Solution

Let the original price be x. Then, 0.75x = 30. Therefore, x = 30 / 0.75 = 40.

Correct Answer: B — $40

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

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

Solution

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

Correct Answer: B — 25%

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

A. 20%
B. 25%
C. 30%
D. 35%

Solution

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

Correct Answer: B — 25%

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Q. A shopkeeper bought an article for $200 and sold it for $240. What is the profit percentage?

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

Solution

Profit = Selling Price - Cost Price = 240 - 200 = $40. Profit percentage = (40 / 200) * 100 = 20%.

Correct Answer: B — 20%

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Q. A shopkeeper sells a mixture of two types of tea at a profit of 20%. If the cost price of the mixture is $50, what is the selling price?

A. $55
B. $60
C. $65
D. $70

Solution

Selling Price = Cost Price + Profit = 50 + (20% of 50) = 50 + 10 = $60.

Correct Answer: A — $55

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Q. A shopkeeper sells a shirt for $300 after giving a discount of 25% on the marked price. What was the marked price?

A. $350
B. $400
C. $450
D. $500

Solution

Let Marked Price = x. Selling Price = x - 25% of x = 0.75x. 0.75x = 300. x = 300/0.75 = 400.

Correct Answer: B — $400

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Q. A shopkeeper sells an article for $120, making a profit of 20%. What was the cost price of the article?

A. $100
B. $110
C. $90
D. $80

Solution

Let the cost price be x. Then, selling price = x + 20% of x = 1.2x. Given selling price = $120, we have 1.2x = 120. Therefore, x = 120 / 1.2 = $100.

Correct Answer: A — $100

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General Aptitude

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