Nokea
What is the result of dividing 18.104 by 0.002?
- A. 9052
- B. 0.09052
- C. 9.052
- D. 9.52
Correct Answer: A
Rationale: When dividing by a small decimal like 0.002, it's equivalent to multiplying by 500 (since 1 · 0.002 = 500). Thus, 18.104 — 500 = 9052. This process involves shifting the decimal point three places to the right to calculate the answer.
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A newborn's birth weight is recorded as 6,067 grams, and there are 453.59 grams in a pound. What is this infant's weight in pounds and ounces?
- A. 6 pounds, 13 ounces
- B. 13 pounds, 6 ounces
- C. 10 pounds, 13 ounces
- D. 6 pounds, 6 ounces
Correct Answer: B
Rationale: To convert 6,067 grams to pounds, divide by 453.59, giving 13.36 pounds. To find ounces, subtract the whole pounds (13) and multiply the decimal portion (0.36) by 16 (ounces in a pound), resulting in 5.76 ounces. Therefore, the infant's weight is 13 pounds and 5.76 ounces, which rounds to 13 pounds, 6 ounces (option B). Option A is incorrect as it doesn't account for the decimal portion of the pound. Option C is incorrect as it overestimates the weight. Option D is incorrect as it underestimates the weight by not considering the decimal portion.
2.5:150 :: 20:x = ?
- A. X = 3000
- B. X = 1000
- C. X = 1500
- D. X = 1200
Correct Answer: D
Rationale: The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.
If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares of the same company?
- A. 480
- B. 500
- C. 450
- D. 72000
Correct Answer: A
Rationale: To determine how much Mr. Rogers receives annually in dividends for his 400 shares, you can set up a proportion based on the number of shares. The ratio of dividends to shares for Mr. Parker is $180/150 = $1.20 per share. By applying this ratio to Mr. Rogers with 400 shares, the calculation would be $1.20 x 400 = $480. Therefore, the correct answer is A, $480.
Round your answer to the hundredths place: 28 — 0.6 =
- A. 46.67
- B. 0.021
- C. 17.5
- D. 16.8
Correct Answer: A
Rationale: To solve the multiplication problem 28 — 0.6, you multiply 28 by 0.6, which equals 16.8. When rounding to the hundredths place, the third decimal place is 8, which is equal to or greater than 5. Therefore, you round up the second decimal place, resulting in 16.8 rounding up to 16.80 or 16.8. Hence, the correct answer is 46.67, not 16.8.
Ratio and Proportion: 100: 2 :: 60 : X
- A. X = 1.6
- B. X = 2.2
- C. X = 12
- D. X = 1.2
Correct Answer: D
Rationale: To find X, set up the proportion: (100/2) = (60/X). Cross-multiply to get 100X = 120. Dividing both sides by 100 gives X = 1.2. Therefore, the correct answer is X = 1.2, which is option D.