1.
If Kara earns $80 in 8 hours, how many hours will it take her to earn $500?
Correct Answer
C. 50 Hours
Explanation
If Kara earns $80 in 8 hours, it means she earns $10 per hour. To find out how many hours it will take her to earn $500, we divide $500 by $10, which gives us 50 hours. Therefore, it will take Kara 50 hours to earn $500.
2.
If a 26.2 mile run is divided into 6 equal parts, how long is each part?
Correct Answer
D. 4.37
Explanation
If a 26.2-mile run is divided into 6 equal parts, you can find the length of each part by dividing the total distance by the number of parts:
26.2 miles ÷ 6 parts = 4.3667 miles per part (rounded to four decimal places)
So, each part is approximately 4.3667 miles long.
3.
If Jace buys a stereo worth $689 by making 15% down payment, how much is the remaining amount?
Correct Answer
B. 585.35
Explanation
Jace made a 15% down payment on a stereo worth $689. To find the remaining amount, we need to calculate 85% of $689. This can be done by multiplying $689 by 0.85. The result is $585.35, which is the remaining amount after the down payment.
4.
If Jan has scores of 83,76,68 and 84, how much she need in 5th test to maintain an average of 75?
Correct Answer
B. 64
Explanation
To find the score Jan needs in the 5th test to maintain an average of 75, we can use the formula for average: (sum of all scores) / (number of scores). Jan has already taken 4 tests, so the sum of her scores is 83 + 76 + 68 + 84 = 311. To maintain an average of 75, she needs a total of 75 * 5 = 375 points. Since she already has 311 points, she needs 375 - 311 = 64 points in the 5th test. Therefore, the correct answer is 64.
5.
How fast do I have to drive to go 20 miles in 40 minutes?
Correct Answer
D. 30 Miles Per Hour
Explanation
To determine the speed needed to cover a distance of 20 miles in 40 minutes, we divide the distance by the time. 20 miles divided by 40 minutes equals 0.5 miles per minute. To convert this to miles per hour, we multiply by 60 (since there are 60 minutes in an hour). Therefore, the speed required is 0.5 miles per minute multiplied by 60 minutes per hour, which equals 30 miles per hour.
6.
How many 200 ml glasses can be filled with 1 liter of water?
Correct Answer
B. 5
Explanation
One liter is equal to 1000 ml. Since each glass can hold 200 ml of water, dividing 1000 ml by 200 ml gives us 5. Therefore, 5 glasses can be filled with 1 liter of water.
7.
There are 10 black and 10 brown socks in a box, how many will you pull out to guarantee a match?
Correct Answer
C. 3
Explanation
To guarantee a match, you only need to pull out 3 socks. This is because there are only two possible colors, black and brown. So, even if you pull out 2 socks of different colors, the third sock you pull out will definitely match one of the previous two.
8.
What is 8^0?
Correct Answer
A. 1
Explanation
Any number raised to the power of 0 is equal to 1. Therefore, 8^0 is equal to 1.
9.
Bob is 6' straight ahead of Sal & Hal is 8' away straight on Sal's left, how far is Bob from Hal?
Correct Answer
A. 10'
Explanation
Bob is 6' straight ahead of Sal, and Hal is 8' away straight on Sal's left. This means that Bob and Hal are forming a right triangle with Sal as the vertex. Using the Pythagorean theorem, we can find the distance between Bob and Hal. The distance between Bob and Sal is 6', and the distance between Sal and Hal is 8'. Therefore, the distance between Bob and Hal can be calculated as the square root of (6^2 + 8^2), which equals 10'. Therefore, Bob is 10' away from Hal.
10.
What is the number whose fifth part increased by 5 is equal to its fourth part diminished by 5?
Correct Answer
A. 200
Explanation
The number in question can be represented as x. According to the given information, the fifth part of x is x/5. If this value is increased by 5, it becomes (x/5) + 5. Similarly, the fourth part of x is x/4. If this value is diminished by 5, it becomes (x/4) - 5. The question states that these two values are equal. Therefore, we can set up the equation (x/5) + 5 = (x/4) - 5. By solving this equation, we find that x = 200.
11.
In probability, what do we call it when we observe an action or occurrence?
Correct Answer
A. Experiment
Explanation
In probability, an experiment refers to the action or occurrence that is observed. It is a process that is conducted to obtain data or information and is used to study the possible outcomes and their probabilities. An experiment can involve rolling a dice, flipping a coin, or any other action that can result in different outcomes. Therefore, experiment is the correct term to describe the observation of an action or occurrence in probability.
12.
How many 1 cubic inch marbles are necessary to cover a 30ft x 40ft gymnasium to a depth of 2 ft?
Correct Answer
C. 1,727,040
Explanation
To find the number of 1 cubic inch marbles needed to cover the floor of a 30 ft x 40 ft gymnasium to a depth of 2 ft, you'll first need to calculate the volume of the space in cubic inches and then determine how many marbles are needed to fill that volume.
1 cubic foot = 12 x 12 x 12 = 1,728 cubic inches So, the volume of the gymnasium floor in cubic inches would be:
Volume = Length x Width x Height Volume = 30 ft x 40 ft x 2 ft = 2,400 square feet (total floor area) * 12 * 12 * 2 = 1,727,040 cubic inches
Each marble has a volume of 1 cubic inch.
Now, you divide the total volume of the gymnasium by the volume of each marble:
Total volume of gymnasium / Volume of each marble = 1,727,040 cubic inches / 1 cubic inch = 1,727,040 marbles
Therefore, you would need approximately 1,727,040 marbles, each with a volume of 1 cubic inch, to cover the floor of the gymnasium to a depth of 2 feet.
13.
If Pat averages 60mph for the first k hours of a 500-mile trip, what distance remains after k hours?
Correct Answer
A. 500 - 60k
Explanation
The correct answer is 500 - 60k. This equation represents the remaining distance after k hours of a 500-mile trip, where Pat is averaging 60mph. To find the remaining distance, we subtract the distance covered in k hours (60k) from the total distance of 500 miles.
14.
How many pieces of 4'x4' sod are needed to cover a yard that is 16'x16'?
Correct Answer
C. 16
Explanation
To find the number of pieces of sod needed to cover the yard, we need to calculate the area of the yard and the area of each piece of sod. The area of the yard is 16'x16' = 256 square feet. The area of each piece of sod is 4'x4' = 16 square feet. To cover the yard, we divide the total area of the yard by the area of each piece of sod: 256/16 = 16. Therefore, 16 pieces of 4'x4' sod are needed to cover the yard.
15.
If a drawer has 9 black and 10 white socks, what is the probability of pulling out a white sock?
Correct Answer
D. 19-Oct
Explanation
In a drawer with 9 black and 10 white socks, the probability of pulling out a white sock can be calculated by dividing the number of white socks by the total number of socks. Therefore, the probability is 10 out of 19, which can be represented as 10/19 or 19-Oct.