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What is the result of the subtraction 28.19 - 9?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To subtract 9 from 28.19, first subtract the whole numbers: 28 - 9 = 19. Then, subtract the decimals: 0.19 - 0 = 0.19. Combining the whole numbers and decimal parts gives you 19.19 as the correct result. Therefore, the subtraction of 9 from 28.19 equals 19.19, which corresponds to option D.
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How many cakes are needed to serve a group of 70 students and 3 staff members if each cake provides 24 servings?
- A. 4
- B. 2
- C. 3
- D. 5
Correct Answer: A
Rationale: To determine the number of cakes needed, add the total number of individuals to be served: 70 students + 3 staff members = 73 individuals. Then, divide the total number of individuals by the number of servings per cake: 73 · 24 = 3 with a remainder. Since you cannot serve a fraction of a cake, you will need an additional cake. Therefore, you would need 4 cakes to serve the group of 70 students and 3 staff members, ensuring each person receives a serving.
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.
Add: 0.824 + 1.197 =
- A. 1.911
- B. 1.921
- C. 2.011
- D. 2.021
Correct Answer: B
Rationale: Correct Answer: B (1.921)
Rationale:
Step 1: Align the numbers vertically.
0.824
+ 1.197
Step 2: Add the numbers starting from the rightmost column.
0.824
+ 1.197
1.921
Step 3: The sum is 1.921.
Summary:
- A (1.911): Incorrect, as the correct sum is 1.921.
- C (2.011) and D (2.021): Incorrect, as the sum exceeds the sum of the two given numbers.
Subtract 2 5/8 - 7/8 and reduce.
- A. 1 & 5/8
- B. 1 & 1/4
- C. 1 & 6/8
- D. 1 & 3/4
Correct Answer: D
Rationale: To subtract fractions, ensure that the denominators are the same. In this case, convert 2 to 16/8 to match the denominator of 5/8. The calculation will be (16/8 - 7/8) = 9/8. Simplify 9/8 to 1 & 1/8, which is equivalent to 1 & 3/4. Thus, the correct answer is 1 & 3/4.
Convert the percentage to a decimal: 126% =
- A. 126
- B. 0.0126
- C. 0.126
- D. 1.26
Correct Answer: D
Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 126% = 1.26 as a decimal. When you see 126%, it signifies having 126 parts out of 100, which is equivalent to 1.26 as a decimal. Remember that percentages represent parts out of 100, so converting to a decimal entails dividing by 100, resulting in the shift of the decimal point two places to the left.