Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. A square has a perimeter of 40 cm. What is its area?

A. 100 cm²
B. 200 cm²
C. 160 cm²
D. 80 cm²

Solution

Perimeter = 4 × side; side = 40 cm / 4 = 10 cm. Area = side² = 10 cm × 10 cm = 100 cm².

Correct Answer: A — 100 cm²

Q. A square has a perimeter of 40 m. What is its area?

A. 100 m²
B. 200 m²
C. 160 m²
D. 80 m²

Solution

Side = perimeter/4 = 40 m/4 = 10 m. Area = side² = (10 m)² = 100 m².

Correct Answer: A — 100 m²

Q. A store increases the price of a product by 12% and then offers a discount of 12% on the new price. What is the net effect on the price?

A. 0%
B. 1.44% increase
C. 1.44% decrease
D. 2.4% increase

Solution

Let the original price be 100. New price after increase = 100 + 12 = 112. Discount = 12% of 112 = 13.44. Final price = 112 - 13.44 = 98.56. Net effect = (98.56 - 100) / 100 * 100 = -1.44%.

Correct Answer: B — 1.44% increase

Q. A store increases the price of a product by 20% and then offers a 10% discount on the new price. If the original price is $50, what is the final price after the discount?

A. $54
B. $55
C. $56
D. $57

Solution

New price after 20% increase = 50 + 10 = 60. Discount = 10% of 60 = 6. Final price = 60 - 6 = $54.

Correct Answer: A — $54

Q. A store increases the price of a product by 20% and then offers a 10% discount. If the original price was $50, what is the final price?

A. $48
B. $50
C. $52
D. $54

Solution

New price after increase = 50 + (20% of 50) = 50 + 10 = 60. Discount = 10% of 60 = 6. Final price = 60 - 6 = 54.

Correct Answer: A — $48

Q. A store increases the price of a product by 25% and then offers a discount of 10%. If the original price was $200, what is the final price?

A. $210
B. $220
C. $230
D. $240

Solution

New price after increase = 200 + 25% of 200 = 200 + 50 = 250. Discount = 10% of 250 = 25. Final price = 250 - 25 = 225.

Correct Answer: A — $210

Q. A store increases the price of an item by 25% and then offers a 20% discount. What is the net percentage change in price?

A. 5% increase
B. 10% decrease
C. 10% increase
D. 5% decrease

Solution

Let the original price be $100. New price = 125. After discount = 125 - (20/100 * 125) = 100. Net change = 0%.

Correct Answer: A — 5% increase

Q. A store increases the price of an item by 25% and then offers a 20% discount. What is the net percentage increase in price?

A. 5%
B. 10%
C. 15%
D. 20%

Solution

New price = 1.25x, after discount = 1.25x * 0.8 = x * 1.0. Net increase = 0%.

Correct Answer: B — 10%

Q. A store offers a 10% discount on a $50 item. What is the final price after the discount?

A. $40
B. $45
C. $50
D. $55

Solution

Discount = 10% of 50 = 5. Final price = 50 - 5 = 45.

Correct Answer: A — $40

Q. A store offers a 10% discount on a product that costs $150. What is the final price after the discount?

A. $135
B. $140
C. $145
D. $150

Solution

Discount = 10% of 150 = 15; Final price = 150 - 15 = 135.

Correct Answer: A — $135

Q. A store offers a 15% discount on all items. If an item costs $200 after the discount, what was the original price?

A. $220
B. $230
C. $240
D. $250

Solution

Let the original price be x. After a 15% discount, the selling price is 85% of x; 0.85x = 200; x = 200 / 0.85 = 235.29.

Correct Answer: A — $220

Q. A store offers a 15% discount on all items. If an item is priced at $80, what is the final price after the discount?

A. $65
B. $66
C. $67
D. $68

Solution

Discount = 15% of 80 = 0.15 * 80 = 12; Final price = 80 - 12 = 68.

Correct Answer: A — $65

Q. A store offers a 25% discount on a $120 item. What is the final price after the discount?

A. $80
B. $85
C. $90
D. $95

Solution

Final price = 120 - (0.25 * 120) = 120 - 30 = $90.

Correct Answer: A — $80

Q. A store offers a 25% discount on a $120 item. What is the sale price?

A. $80
B. $85
C. $90
D. $95

Solution

Sale price = 120 - (25/100 * 120) = 120 - 30 = 90.

Correct Answer: A — $80

Q. A store offers a 25% discount on a $200 item. What is the sale price?

A. $150
B. $160
C. $170
D. $180

Solution

Discount = 0.25 * 200 = 50. Sale price = 200 - 50 = $150.

Correct Answer: A — $150

Q. A store offers a 25% discount on a jacket that costs $120. What is the final price after the discount?

A. $90
B. $95
C. $85
D. $100

Solution

Final price = 120 - (25/100 * 120) = 120 - 30 = 90.

Correct Answer: A — $90

Q. A store offers a 25% discount on a jacket that costs $80. What is the sale price of the jacket?

A. $60
B. $70
C. $75
D. $80

Solution

Discount = 25% of 80 = 0.25 * 80 = $20. Sale price = 80 - 20 = $60.

Correct Answer: A — $60

Q. A store offers a 30% discount on a $150 item. What is the final price after the discount?

A. $100
B. $105
C. $110
D. $120

Solution

Final price = 150 - (0.3 * 150) = 150 - 45 = 105

Correct Answer: B — $105

Q. A store offers a 30% discount on a jacket that costs $70. What is the final price after the discount?

A. $40
B. $45
C. $50
D. $55

Solution

Discount = 30% of 70 = 0.3 * 70 = 21. Final price = 70 - 21 = 49.

Correct Answer: B — $45

Q. A store offers a 30% discount on a jacket that costs $80. What is the sale price of the jacket?

A. $50
B. $54
C. $56
D. $58

Solution

Discount = 30% of $80 = (30/100)*80 = $24. Sale price = $80 - $24 = $56.

Correct Answer: C — $56

Q. A student got 75% marks in an exam and scored 300 marks. What are the maximum marks of the exam?

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

Solution

Let the maximum marks be x. 75% of x = 300; 0.75x = 300; x = 300 / 0.75 = 400.

Correct Answer: B — 400

Q. A student improved his score from 60% to 75% in a subject. What is the percentage increase in his score?

A. 10%
B. 15%
C. 25%
D. 20%

Solution

Percentage increase = ((75 - 60) / 60) * 100 = (15/60) * 100 = 25%.

Correct Answer: D — 20%

Q. A student improved his score from 70 to 84 in a test. What is the percentage increase in his score?

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

Solution

Percentage increase = ((84 - 70) / 70) * 100 = 20%.

Correct Answer: C — 25%

Q. A student improved his score from 70 to 85 in a subject. What is the percentage increase in his score?

A. 20%
B. 21.43%
C. 25%
D. 30%

Solution

Percentage increase = ((85 - 70) / 70) * 100 = 21.43%.

Correct Answer: B — 21.43%

Q. A student improved his score from 70 to 85 in a test. What is the percentage increase in his score?

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

Solution

Percentage increase = ((85 - 70) / 70) * 100 = (15/70) * 100 ≈ 21.43%

Correct Answer: C — 25%

Q. A student increased his score from 70 to 85 in a subject. What is the percentage increase in his score?

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

Solution

Percentage increase = ((85 - 70) / 70) * 100 = (15 / 70) * 100 ≈ 21.43%.

Correct Answer: C — 25%

Q. A student needs to score 60% to pass an exam. If the exam is out of 200 marks, what is the minimum score required to pass?

A. 100
B. 110
C. 120
D. 130

Solution

Minimum score = 60% of 200 = 0.6 * 200 = 120.

Correct Answer: C — 120

Q. A student needs to score at least 60% to pass an exam. If the total marks are 500, what is the minimum score required?

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

Solution

Minimum score = 0.6 * 500 = 300.

Correct Answer: B — 300

Q. A student needs to score at least 75% to pass an exam. If the exam is out of 400 marks, what is the minimum number of marks he needs to pass?

A. 300
B. 280
C. 320
D. 350

Solution

Minimum marks to pass = 75% of 400 = 0.75 * 400 = 300.

Correct Answer: A — 300

Q. A student needs to score at least 75% to pass an exam. If the exam is out of 800 marks, what is the minimum number of marks he needs to pass?

A. 600
B. 550
C. 650
D. 700

Solution

Minimum marks to pass = 75% of 800 = 0.75 * 800 = 600.

Correct Answer: A — 600

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