Nokea
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.
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What is the best decimal approximation of 10 times the positive square root of 20?
- A. 89.4
- B. 200
- C. 44.7
- D. 100
Correct Answer: C
Rationale: To find 10 times the positive square root of 20, first calculate the square root of 20, which is approximately 4.472. Then, multiply this by 10: 10 * 4.472 ≈ 44.7. The best decimal approximation of 10 times the positive square root of 20 is 44.7, which corresponds to Option C.
The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
- A. A = x(x + 5)
- B. A = 2x + 2(x + 5)
- C. A = x(x + 5)
- D. A = 5x
Correct Answer: C
Rationale: To find the area of a rectangle, you multiply its length by its width. In this case, the width is represented by x, and the length is x + 5 (since it is 5 feet greater). Therefore, the correct equation for the area (A) of the room is A = x(x + 5). This equation correctly calculates the area by multiplying the width by the length, providing the correct representation of the room's area.
A temperature gauge reads 95 F. Which of the following is the correct conversion to degrees Celsius? (Note: C = (F - 32) x 5/9)
- A. 34C
- B. 63C
- C. 113C
- D. 35C
Correct Answer: A
Rationale: To convert Fahrenheit to Celsius, you can use the formula C = (F - 32) x 5/9. Substituting the given Fahrenheit value of 95 into the formula gives C = (95 - 32) x 5/9 = 35 degrees Celsius. Therefore, the correct conversion is 35C, which corresponds to choice D.
What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
- A. 96
- B. 78
- C. 80
- D. 82
Correct Answer: C
Rationale: To find the mean of a set of numbers, you add up all the numbers and then divide by the total count of numbers. In this case, (100 + 78 + 47 + 84 + 93 + 78) / 6 = 480 / 6 = 80. Therefore, the mean of the given test scores is 80. The correct answer is C, 80, as it represents the average of the test scores provided.
Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/6
Correct Answer: D
Rationale: After one friend eats half of the pizza, half of the pizza remains to be divided among the other three friends. Dividing this remaining half equally among three friends means each friend receives 1/6 of the pizza (1/2 · 3 = 1/6). Therefore, each of the other three friends receives 1/6 of the pizza.