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12 is a/an:
- A. even number
- B. odd number
- C. prime number
- D. composite number
Correct Answer: A
Rationale: Rationale:
- An even number is an integer that is exactly divisible by 2, meaning there is no remainder when divided by 2.
- The number 12 can be divided by 2 evenly, as 12 · 2 = 6, with no remainder.
- Therefore, 12 is classified as an even number.
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A farmer's production statistics find that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed to produce 24 eggs in 24 hours?
- A. 12 chickens
- B. 4 chickens
- C. 3 chickens
- D. 8 chickens
Correct Answer: D
Rationale: First, find how many eggs 1 chicken can produce in 24 hours. If 2 chickens produce 6 eggs: 6 eggs / 2 chickens = 3 eggs per chicken. To produce 24 eggs, we divide the required number of eggs by the production rate per chicken: 24 eggs / 3 eggs per chicken = 8 chickens. Therefore, the correct answer is D. 8 chickens. Choice A, 12 chickens, is incorrect because it does not consider the production rate per chicken. Choice B, 4 chickens, is incorrect as it does not account for the number of eggs needed. Choice C, 3 chickens, is incorrect because it miscalculates the production rate per chicken.
Solve for x if x=11. x+(44/2x)
- A. 2.5
- B. 33
- C. 55
- D. 13
Correct Answer: A
Rationale: Substitute x=11 into the expression:
11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13
Therefore, the correct answer is 13.
Choice A (2.5) is incorrect as the correct result is 13, not 2.5.
Choice B (33) is incorrect because it does not result from the given expression.
Choice C (55) is incorrect as it does not match the calculated value.
Choice D (13) is incorrect because the correct solution is 13, not 2.5.
Change the following percentage to a decimal: 0.03%
- A. 0.03
- B. 0.0003
- C. 0.3
- D. 0.003
Correct Answer: B
Rationale: To convert a percentage to a decimal, divide by 100. Therefore, 0.03% · 100 = 0.0003. The correct answer is B. Choice A (0.03) is incorrect because it does not account for the conversion of percentage to decimal. Choice C (0.3) is incorrect as it represents 0.03 as 30% rather than 0.03%. Choice D (0.003) is also incorrect as it does not accurately convert 0.03% to a decimal.
Three nurses worked 8-hour shifts. Nurse 1 monitored 6 patients during her shift. Nurse 2 monitored 8 patients, and Nurse 3 monitored 12 patients. How many patients were monitored in total?
- A. 26 patients
- B. 24 patients
- C. 20 patients
- D. 23 patients
Correct Answer: A
Rationale: To find the total number of patients monitored, add the patients monitored by each nurse: 6 (Nurse 1) + 8 (Nurse 2) + 12 (Nurse 3) = 26 patients. Therefore, the correct answer is 26 patients. Choice B (24 patients), Choice C (20 patients), and Choice D (23 patients) are incorrect as they do not correctly sum up the patients monitored by each nurse.
25 1/7 - 12 5/7 = ?
- A. 12 3/7
- B. 14 1/7
- C. 13 5/6
- D. 13
Correct Answer: A
Rationale: To subtract mixed numbers, subtract the whole numbers and fractions separately. If necessary, borrow from the whole number when the fraction in the minuend is smaller than the fraction in the subtrahend.
The whole numbers are:
25 - 12 = 13. The fractions: 1/7 - 5/7. Since 1/7 is smaller, borrow 1 from 13, making it 12. Then convert 1 whole into 7/7, so the fraction becomes: (7/7 + 1/7) - 5/7 = 8/7 - 5/7 = 3/7. Thus, 25 1/7 - 12 5/7 = 12 3/7.