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After spending 80% of her $60, Lana is left with how much money when she invests the remaining amount and earns an 80% profit?
- A. $21.60
- B. $9.60
- C. $86.40
- D. $60.00
Correct Answer: A
Rationale: After spending 80% of $60, Lana spends $48, leaving her with $12. When she invests this remaining amount and earns an 80% profit on $12, it amounts to $21.60 ($12 + 80% of $12 = $12 + $9.60 = $21.60). Therefore, Lana now has $21.60 in total.
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What is the median of the following set of data: 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13?
- A. 12
- B. 14
- C. 15
- D. 15.8
Correct Answer: B
Rationale: To find the median of a set of data, first arrange the numbers in ascending order: 11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26. Since there are 11 numbers in the set, the median will be the middle value. When arranged in ascending order, the middle value is 14, which makes it the median of the data set. Therefore, the correct answer is 14.
A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
- A. 18 times as many
- B. 5 times as many
- C. 20 times as many
- D. 10 times as many
Correct Answer: A
Rationale: Let p be the number of pennies. Quarters = 2p, Nickels = 4p, Dimes = 5 * 4p = 20p. So, Dimes - Quarters = 20p - 2p = 18p. The child has 18 times more dimes than quarters.
A student's savings account balance changed from $1,140 on March 15 to $1,450 on August 15. Which of the following amounts is the average rate of change per month in their account?
- A. $290
- B. $310
- C. $621
- D. $52
Correct Answer: D
Rationale: To calculate the average rate of change per month, we first find the total change in the account balance, which is $1,450 - $1,140 = $310. The time period is 5 months (from March to August). Dividing the total change by the number of months gives us the average rate of change per month: $310 / 5 = $62. Therefore, the correct answer is $52, as it is the closest option to the calculated value.
What is the equivalent weight in pounds of 50 kg? (1 kg = 2.2 lb)
- A. 110 lb
- B. 52.2 lb
- C. 22.7 lb
- D. 220 lb
Correct Answer: A
Rationale: To convert kilograms to pounds, you multiply by the conversion factor 2.2 (1 kg = 2.2 lb). Therefore, 50 kg * 2.2 lb/kg = 110 lb. The correct answer is A because 50 kg is equivalent to 110 lb when using the conversion factor.
What is 31% of 426?
- A. 425.69
- B. 0.07
- C. 13.7
- D. 132.06
Correct Answer: D
Rationale: To find 31% of 426, you multiply 426 by 0.31 (which represents 31% in decimal form). The calculation is 426 * 0.31 = 132.06. Therefore, the correct answer is D, 132.06.