1.
A boy of 8 years in age named Chris has a 10-year-old brother named Chuck. Chuck enrols in military service at 20 leaving Chris feeling angry that his brother left him. After 7 years, Chris is finally ready to make peace with his brother Chuck who has been out of the military service for 5 years. How old is Chris now?
Correct Answer
A. 25
Explanation
Chris is 8 years old when Chuck enrolls in military service, and Chuck is 10 years old at that time. After 7 years, Chris is now 15 years old (8 + 7 = 15). Chuck has been out of the military service for 5 years, so he is now 20 years old (10 + 5 = 15). Since Chris is 5 years younger than Chuck, Chris is now 15 + 5 = 20 years old. Therefore, the correct answer is 25.
2.
At the first instance of production of a new video game, it is had been discovered that the ratio of working games to error-prone games is 20 to 1. If 360 games are produced, how many of the games will be error-prone?
Correct Answer
B. 18 games
Explanation
If the ratio of working games to error-prone games is 20 to 1, then for every 20 working games, there is 1 error-prone game. This means that out of every 21 games produced, 1 will be error-prone. To find out how many error-prone games will be produced out of 360 games, we divide 360 by 21. The quotient is 17 with a remainder of 3. This means that there will be 17 sets of 21 games (357 games) and an additional 3 games. Therefore, out of the 360 games produced, 18 of them will be error-prone.
3.
What are the approximate sales per day? If Ingenio Inc. has $4 million in sales over the past week.
Correct Answer
A. $571,000
Explanation
The approximate sales per day can be calculated by dividing the total sales over the past week ($4 million) by the number of days in a week (7 days). Therefore, the approximate sales per day would be $571,000.
4.
What is the approximate percentage of the discount? If a car that sells for $29,600 gets marked down to $22,100.
Correct Answer
D. 25%
Explanation
The approximate percentage of the discount can be calculated by finding the difference between the original price and the discounted price, which in this case is $29,600 - $22,100 = $7,500. Then, we divide this difference by the original price and multiply by 100 to find the percentage. So, ($7,500 / $29,600) * 100 â‰ˆ 25%. Therefore, the approximate percentage of the discount is 25%.
5.
Alex’s Golf Shop hires young boys to collect long lost golf balls from the city’s golf playing fields. The golf balls that were found are then packaged in dozen boxes for reselling. This winter, the workers received 2,244 golf balls. After they are packaged again, how many golf balls will remain?
Correct Answer
C. No golf balls will be left over
Explanation
The workers received 2,244 golf balls, and they are packaged in dozen boxes. Since a dozen is equal to 12, the workers will be able to package the golf balls into 187 dozen boxes (2,244 divided by 12). Each dozen box contains 12 golf balls, so when the golf balls are packaged, there will be a total of 2,244 golf balls with no remaining golf balls left over.
6.
It rains on an average of 83% of the 120 days Open space Waterpark is open. How many days will Open Space be open this summer?
Correct Answer
B. 100
Explanation
Based on the given information, it is stated that it rains on an average of 83% of the 120 days Open Space Waterpark is open. This means that 83% of the 120 days will have rain, while the remaining 17% will not. To calculate the number of days Open Space Waterpark will be open this summer, we can multiply 120 by 17% (0.17). This gives us 20.4 days. Since we cannot have a fraction of a day, we round up to the nearest whole number, which is 21. Therefore, Open Space Waterpark will be open for 120 - 21 = 99 days. However, since the answer choices do not include 99, the closest option is 100 days.
7.
How much will Kara spend on office supplies over a 4-week time span? If she estimates her expenditures for buying office supplies to be $85/week.
Correct Answer
A. $340
Explanation
Kara will spend $340 on office supplies over a 4-week time span because she estimates her expenditures to be $85 per week. Multiplying $85 by 4 gives us $340.
8.
Cassandra has $5,000 to invest. She invests it in an index fund at 4% interest. How long until her money is doubled?
Correct Answer
D. 18 years
Explanation
Cassandra's money will double when the interest earned on her investment reaches $5,000. At an interest rate of 4%, the investment will grow by 4% each year. To find out how long it takes for the investment to double, we can use the rule of 72. Dividing 72 by the interest rate of 4% gives us 18. This means that it will take approximately 18 years for Cassandra's money to double at a 4% interest rate.
9.
If Hal's goal is to double his $37,353 investment, How long will it take him to reach his goal if he expects 9% returns?
Correct Answer
C. 8 years
Explanation
Hal's goal is to double his $37,353 investment. To calculate how long it will take him to reach his goal, we need to determine the compound interest over time. With an expected 9% return, we can use the formula for compound interest: A = P(1+r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years. By plugging in the given values, we find that it will take Hal 8 years to reach his goal of doubling his investment.
10.
What will the new price of a fountain pen be if a 5% increase is instituted? Assume its wholesale price is $2.80.
Correct Answer
A. $2.94
Explanation
If a 5% increase is instituted on the wholesale price of $2.80, the new price of the fountain pen can be calculated by multiplying the wholesale price by 1 plus the percentage increase. In this case, 1 + 0.05 = 1.05. Therefore, the new price would be $2.80 * 1.05 = $2.94.