Q.1 If 2 pens cost $10, what is the cost of 5 pens?
$20
$25
$30
$40
Explanation - Cost per pen = $10 ÷ 2 = $5. So, 5 pens = 5 × $5 = $25.
Correct answer is: $25
Q.2 The ratio of boys to girls in a class is 3:2. If there are 30 boys, how many girls are there?
15
18
20
25
Explanation - 3:2 means for every 3 boys, there are 2 girls. If boys = 30, girls = (2/3) × 30 = 20.
Correct answer is: 20
Q.3 What is 25% of 240?
40
50
60
75
Explanation - 25% = 25/100 = 1/4. So, 1/4 of 240 = 60.
Correct answer is: 60
Q.4 If a man earns $600 and spends $450, what percent of his income does he save?
15%
20%
25%
30%
Explanation - Savings = 600 - 450 = 150. Percentage = (150/600) × 100 = 25%.
Correct answer is: 25%
Q.5 Two numbers are in the ratio 4:5. If their sum is 90, what is the larger number?
36
40
50
54
Explanation - Sum of ratios = 4+5 = 9. Each part = 90 ÷ 9 = 10. Larger number = 5 × 10 = 50.
Correct answer is: 50
Q.6 A shopkeeper increases the price of a shirt from $400 to $500. What is the percentage increase?
20%
22%
25%
30%
Explanation - Increase = 500 - 400 = 100. Percentage increase = (100/400) × 100 = 25%.
Correct answer is: 25%
Q.7 If 5 workers can complete a task in 12 days, how many days will 10 workers take, assuming equal efficiency?
5
6
7
8
Explanation - Work is inversely proportional to workers. (5×12) ÷ 10 = 6 days.
Correct answer is: 6
Q.8 Find the ratio of 45 minutes to 2 hours.
3:8
3:4
2:5
5:8
Explanation - 45 minutes = 45. 2 hours = 120 minutes. Ratio = 45:120 = 3:8.
Correct answer is: 3:8
Q.9 If a sum of money is divided between A and B in the ratio 7:3 and A gets $210, how much does B get?
$70
$80
$90
$100
Explanation - A’s share = 7 parts = 210 → 1 part = 30. B’s share = 3 × 30 = 90.
Correct answer is: $90
Q.10 A student scored 72 out of 80 in a test. What percentage did he score?
85%
88%
90%
92%
Explanation - Percentage = (72/80) × 100 = 90%.
Correct answer is: 90%
Q.11 If 3 oranges cost $12, how much will 7 oranges cost?
$24
$26
$28
$30
Explanation - Cost per orange = 12 ÷ 3 = $4. Cost of 7 = 7 × 4 = $28.
Correct answer is: $28
Q.12 The ratio of two numbers is 2:3. If the smaller is 40, what is the larger?
50
55
60
65
Explanation - 2 parts = 40 → 1 part = 20. Larger = 3 × 20 = 60.
Correct answer is: 60
Q.13 What percent of 1,200 is 300?
20%
25%
30%
35%
Explanation - (300/1200) × 100 = 25%.
Correct answer is: 25%
Q.14 A trader buys a watch for $750 and sells it at a profit of 20%. What is the selling price?
$850
$880
$900
$920
Explanation - Profit = 20% of 750 = 150. Selling Price = 750 + 150 = 900.
Correct answer is: $900
Q.15 Express 0.6 as a percentage.
40%
50%
60%
70%
Explanation - 0.6 × 100 = 60%.
Correct answer is: 60%
Q.16 If a box contains 40 red balls and 60 blue balls, what is the ratio of red to total balls?
2:5
2:3
3:5
4:7
Explanation - Total balls = 40 + 60 = 100. Ratio = 40:100 = 2:5.
Correct answer is: 2:5
Q.17 If 12 men can build a wall in 18 days, how long will 9 men take?
20 days
22 days
24 days
26 days
Explanation - Work is inversely proportional. (12×18) ÷ 9 = 24 days.
Correct answer is: 24 days
Q.18 If 30% of a number is 90, what is the number?
250
280
300
320
Explanation - 30% = 90 → number = 90 × 100 / 30 = 300.
Correct answer is: 300
Q.19 A car travels 150 km on 15 liters of petrol. How many km will it travel on 25 liters?
230 km
240 km
250 km
260 km
Explanation - 150 ÷ 15 = 10 km per liter. For 25 liters = 25 × 10 = 250 km.
Correct answer is: 250 km
Q.20 Simplify the ratio 42:56.
3:4
2:3
4:5
5:6
Explanation - Divide both by 14. 42 ÷ 14 = 3, 56 ÷ 14 = 4. Ratio = 3:4.
Correct answer is: 3:4
Q.21 If the selling price of an article is $480 after a 20% loss, what was its cost price?
$500
$550
$580
$600
Explanation - SP = 80% of CP = 480 → CP = 480 × 100/80 = 600.
Correct answer is: $600
Q.22 Find the percentage increase when a number rises from 200 to 260.
25%
28%
30%
32%
Explanation - Increase = 60. Percentage = (60/200) × 100 = 30%.
Correct answer is: 30%
Q.23 If a train travels 120 km in 2 hours, what is the ratio of distance to time?
60:1
120:2
30:1
40:1
Explanation - Speed = 120 ÷ 2 = 60 km/hr. Ratio distance:time = 60:1.
Correct answer is: 60:1
Q.24 A person’s salary increases from $25,000 to $30,000. Find the percentage increase.
15%
18%
20%
22%
Explanation - Increase = 5000. Percentage = (5000/25000) × 100 = 20%.
Correct answer is: 20%
Q.25 If the ratio of the ages of A and B is 5:7 and A is 25 years old, what is B’s age?
30
33
35
40
Explanation - 5 parts = 25 → 1 part = 5 → B’s age = 7 × 5 = 35.
Correct answer is: 35