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Subtract 12 - 7 & 4\5.
- A. 4 & 4\5
- B. 5 & 4\5
- C. 4 & 1\5
- D. 5 & 1\5
Correct Answer: C
Rationale: 12 - 7 & 4\5 equals 4 & 1\5.
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An architect is designing a rectangular room. The room has an area of 225 square feet and a width of 15 feet. What is the length of the room?
- A. 30 feet
- B. 15 feet
- C. 25 feet
- D. 45 feet
Correct Answer: B
Rationale: The formula for the area of a rectangle is: Area = Length Width. To find the length, divide the area by the width: 225 · 15 = 15 feet. Therefore, the correct answer is 15 feet. Choice A (30 feet) is incorrect because it is the product of the area and the width, not the length. Choice C (25 feet) is incorrect as it does not match the result of dividing the area by the width. Choice D (45 feet) is incorrect as it is not the result of the calculation needed to find the length.
Bill has 2.5 vacation days left for the rest of the year and 1.25 sick days left. If Bill uses all of his sick days and his vacation days, how many days will he have off work?
- A. 1 day
- B. 3 days
- C. 2 days
- D. 4 days
Correct Answer: D
Rationale: To find the total number of days Bill will have off, add his vacation days and sick days together. Bill has 2.5 vacation days and 1.25 sick days:
2.5 + 1.25 = 3.75 days
When rounding to the nearest whole number, 3.75 rounds up to 4. Therefore, Bill will have 4 days off work.
Ratio and proportion 1.2:x=14:42.
- A. 2
- C. 1
- D. 3
Correct Answer: D
Rationale: Cross-multiply to solve for
x
x:
1.2
42
=
14
x
1.242=14x
50.4
=
14
x
50.4=14x
x
=
50.4
14
=
3.6
x=
14
50.4
​
=3.6
Multiply 4/9 x 1 & 4/5 x 2/5.
- A. 15
- B. 7/16
- C. 8/25
- D. 19
Correct Answer: C
Rationale: To multiply fractions, you multiply the numerators together and the denominators together. Calculating 4/9 x 1 & 4/5 x 2/5 gives you (4 x 1) / (9 x 1) & (4 x 2) / (5 x 5) = 4/9 & 8/25. Therefore, the correct answer is 8/25. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the fractions provided.
Change the following fraction into a ratio: 19/40
- A. 19:40
- B. 40:19
- C. 19:4
- D. 40:4
Correct Answer: A
Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.