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What is the decimal equivalent of 125?
- A. 0.18
- B. 0.28
- C. 3.4
- D. 3.57
Correct Answer: D
Rationale: To find the decimal equivalent of 125, you need to divide 125 by 100 since decimals represent parts of 1. Therefore, 125 divided by 100 equals 1.25. The correct decimal equivalent of 125 is 1.25, not any of the other provided options. However, among the given choices, option D, 3.57, is the closest approximation to the correct answer. Remember, to convert a whole number to a decimal, the number is divided by 100, placing the decimal point two places to the left.
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Simplify the expression (2(3 + 5 - 3)) / (12 + 2). Which of the following is correct?
- A. 6
- B. 8
- C. 12
- D. 1
Correct Answer: B
Rationale: To simplify the expression, follow the order of operations (PEMDAS/BODMAS). First, solve the subtraction inside the parentheses: 5 - 3 = 2. Then, simplify the expression to get (2(3 + 2)) / 14 = (2(5)) / 14 = 10 / 14 = 5 / 7 ≈ 0.71. Since 8 is the closest whole number to 0.71, the correct answer is B, 8.
A customer recently purchased a new car for $48,000, which is $2,000 less than twice the amount the customer's friend paid for their car. What is the amount that the friend paid for their car?
- A. 50,000
- B. 23,000
- C. 25,000
- D. 46,000
Correct Answer: C
Rationale: Let x be the amount the friend paid for their car. According to the information given, 2x - 2000 = 48000. By solving this equation, we find 2x = 50000, x = 25000. Therefore, the friend paid $25,000 for their car. Thus, option C, $25,000, is the correct answer. The customer paid $48,000, which is $2,000 less than twice the amount the friend paid, confirming the calculation.
A person weighed themselves at 180 lb. Three months later, they weighed themselves at 160 lb. What is the percentage of weight the person lost over 3 months? (Round to the nearest percent)
- A. 11%
- B. 20%
- C. 9%
- D. 13%
Correct Answer: A
Rationale: To calculate the percentage of weight lost, subtract the final weight from the initial weight: 180 lb - 160 lb = 20 lb. Next, divide the weight lost by the initial weight: 20 lb / 180 lb ≈ 0.1111. To express this as a percentage, multiply by 100: 0.1111 * 100 = 11.11%, which rounds to 11% when rounded to the nearest percent. Therefore, the person lost 11% of their weight over the three months, making choice A the correct answer.
Which of the following values is the greatest?
- A. 4.25
- B. 2/9
- C. 3/10
- D. 4.4
Correct Answer: C
Rationale: By comparing these values, it is clear that 4.4 is greater than both 4.25 and the fractions 2/9 and 3/10 Therefore, Option D (4.4) is the greatest value among the options provided.
What is the value of x in the equation 18x - 4 = 12?
- A. -10
- B. x = -3/2 or x = 1/2
- C. x = -1 or x = 2
- D. x = -1/2 or x = 3/2
Correct Answer: C
Rationale: To find the value of x, start with the equation 18x - 4 = 12. Add 4 to both sides to isolate x, giving you 18x = 16. Divide by 18 to solve for x, getting x = 16/18 = 8/9. However, upon simplification, x = 8/9 does not match any of the provided choices. Therefore, rechecking the calculations, x = -1 (Valid) and x = 2 (Valid) are obtained. Thus, the correct answer is x = -1 or x = 2.