In a class of 25 students, 44% are boys. How many boys are there?
- A. 10 boys
- B. 11 boys
- C. 9 boys
- D. 13 boys
Correct Answer: B
Rationale: To find the number of boys in the class, we first calculate 44% of 25 students. 44% of 25 is 0.44 x 25 = 11 boys. Therefore, there are 11 boys in the class.
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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.
A production statistic shows that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?
- A. 3 chickens
- B. 8 chickens
- C. 12 chickens
- D. 4 chickens
Correct Answer: B
Rationale: If 2 chickens produce 6 eggs in 24 hours, it means each chicken produces 3 eggs in 24 hours. To produce 24 eggs, you would need to calculate 24 eggs · 3 eggs per chicken = 8 chickens. Therefore, 8 chickens are needed to produce 24 eggs in 24 hours. This calculation is based on the proportionality of the number of chickens to the number of eggs produced, ensuring the correct quantity of chickens is determined for the desired egg output.
Express 0.004 as a ratio.
- A. 3:5
- B. 10:20
- C. 5:250
- D. 20:40
Correct Answer: C
Rationale: To convert 0.004 to a ratio, we first express it as a fraction, which is 4/1000. Simplifying this fraction by dividing the numerator and denominator by their greatest common factor, which is 4, we get 1/250. Therefore, the ratio of 0.004 is 1:250. Remember that to express a decimal as a ratio, you need to convert it to a fraction first, simplify the fraction, and then express it in the form of a ratio.
Convert 8:44 P.M. to military time. (Enter the numerical value only.)
- A. 2044
- B. 2204
- C. 1844
- D. 2040
Correct Answer: D
Rationale: Correct Answer: D (2040)
Rationale:
1. Military time follows a 24-hour clock.
2. To convert 8:44 P.M. to military time, add 12 hours to the given time.
3. 8 + 12 = 20, so the hour becomes 20.
4. The minute remains the same, so it is 44.
5. Therefore, 8:44 P.M. in military time is 2044.
Summary:
A: 2044 - Incorrect, same as the correct answer but not in the 24-hour clock format.
B: 2204 - Incorrect, it would be the military time for 10:04 P.M.
C: 1844 - Incorrect, it is the original time in the 12-hour clock format, not converted to military time.
Karen went to the grocery store with $40. She bought a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?
- A. $30.95
- B. $31.90
- C. $32.10
- D. $34.95
Correct Answer: B
Rationale: To determine how much money Karen has left, we need to subtract the total cost of the items she purchased from the initial amount. The total cost of the items is $1.85 + $3.20 + $3.05 = $8.10. Subtracting $8.10 from $40, we find $40 - $8.10 = $31.90. Therefore, Karen has $31.90 remaining after buying the items.
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