1. What is the result of 235 + 178?
a) 423
b) 365
c) 413
d) 357
Explanation:
To find the sum of 235 and 178, add the numbers digit by digit:
235
178 (add +)
------
413
Therefore, the correct answer is option (a) 413.
2. If a train travels at a speed of 75 miles per hour, how many miles will it travel in 3.5 hours?
a) 245 miles
b) 262.5 miles
c) 275 miles
d) 283.5 miles
Explanation:
To find the distance traveled by the train, multiply its speed by the time taken:
Distance = Speed × Time
Distance = 75 mph × 3.5 hours = 262.5 miles
Therefore, the correct answer is option (b) 262.5 miles.
3. What is 15% of 320?
a) 48
b) 45
c) 42
d) 50
Explanation:
To calculate 15% of 320, multiply 320 by 0.15 (since 15% is equivalent to 0.15):
15% of 320 = 320 × 0.15 = 48
Therefore, the correct answer is option (a) 48.
4. Simplify: (12 + 8) × 4 ÷ 5
a) 14
b) 16
c) 17
d) 20
Explanation:
Follow the order of operations (PEMDAS/BODMAS):
(12 + 8) × 4 ÷ 5
= 20 × 4 ÷ 5
= 80 ÷ 5
= 16
Therefore, the correct answer is option (b) 15.
5. If a book originally costs $85 and is on a 30% discount, what is the discounted price?
a) $59.50
b) $59
c) $60
d) $58
Explanation:
To find the discounted price, multiply the original price by the discount percentage (expressed as a decimal):
Discounted Price = Original Price × (1 - Discount Percentage)
Discounted Price = $85 × (1 - 0.30) = $85 × 0.70 = $59.5
Therefore, the correct answer is option (a) $59.50
6. If 3 workers can complete a project in 8 days, how many workers are needed to complete the same project in 4 days?
a) 6 workers
b) 9 workers
c) 12 workers
d) 16 workers
Explanation:
Let's use the concept of "work" here. The amount of work remains constant, so the product of the number of workers and the number of days is constant. In the first scenario, 3 workers complete the project in 8 days:
3 workers × 8 days = 24 work units
To complete the same project in 4 days, we need to find the number of workers required:
Number of workers × 4 days = 24 work units
Number of workers = 24 work units ÷ 4 days = 6 workers
Therefore, the correct answer is option (a) 6 workers.
7. What is the missing number in the series: 2, 5, 11, 23, ?
a) 32
b) 46
c) 47
d) 35
Explanation:
The series follows a pattern where each number is multiplied by 2 and then increased by 1 to obtain the next number:
2 × 2 + 1 = 5
5 × 2 + 1 = 11
11 × 2 + 1 = 23
To find the next number:
23 × 2 + 1 = 47
Therefore, the correct answer is option (c) 47.
8. If the price of a smartphone is increased by 25% and then decreased by 20%, what is the net percentage change in price?
a) 5% decrease
b) 2% increase
c) 4% decrease
d) 4.55% decrease
Explanation:
To calculate the net percentage change in price when the price of a smartphone is increased by 25% and then decreased by 20%, you can use the following formula:

Net Percentage Change = [(Percentage Increase + Percentage Decrease) - (Percentage Increase * Percentage Decrease)] / 100

Given that the percentage increase is 25% and the percentage decrease is 20%, let's plug in these values into the formula:

Percentage Increase = 25
Percentage Decrease = 20

Net Percentage Change = [(25 + 20) - (25 * 20)] / 100
Net Percentage Change = (45 - 500) / 100
Net Percentage Change = (-455) / 100
Net Percentage Change = -4.55%

The net percentage change in price is approximately -4.55%. This means that the price has decreased by around 4.55% after the series of changes.
9. If the area of a square is 64 square units, what is the length of one side of the square?
a) 8 units
b) 6 units
c) 4 units
d) 10 units
Explanation:
The area of a square is given by the formula:

Area = Side Length × Side Length

Given that the area of the square is 64 square units, you can set up the equation:

64 = Side Length × Side Length

To find the length of one side of the square, you need to take the square root of both sides of the equation:

Side Length = √64
Side Length = 8

So, the length of one side of the square is 8 units.
10. If 1 liter of paint covers an area of 5 square meters, how many liters of paint are needed to cover an area of 40 square meters?
a) 5 liters
b) 8 liters
c) 6 liters
d) 10 liters
Explanation:
To calculate the number of liters of paint needed to cover an area of 40 square meters, you can use the given information about the coverage rate:

Coverage Rate: 1 liter of paint covers 5 square meters

Let's denote the number of liters of paint needed as "x". You can set up a proportion to solve for "x":

1 liter / 5 square meters = x liters / 40 square meters

Cross-multiplying the proportions gives:

1 * 40 = 5 * x

40 = 5x

Now, solve for "x":

x = 40 / 5
x = 8

So, 8 liters of paint are needed to cover an area of 40 square meters.