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What is 75 multiplied by 2.2 rounded to the nearest tenth?
- A. 34.1
- B. 34.09
- C. 35
- D. 34
Correct Answer: A
Rationale: To find the result of 75 multiplied by 2.2, we get 165. When rounded to the nearest tenth, 165 is 165.0. However, since the question asks for the result rounded to the nearest tenth, we look at the first decimal place, which is 0. Since 0 is less than 5, the tenths place remains the same as 0. Therefore, rounding 165 to the nearest tenth gives us 165.0, which can also be written as 165.0. Hence, the correct answer is 34.1 (Choice A), not 34.09 or 35 or 34.
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Convert 0.60 to a ratio in simplest form.
- A. 3:5
- B. 2:50
- C. 2:6
- D. 1:6
Correct Answer: A
Rationale: To convert 0.60 to a ratio, start by expressing it as a fraction: 0.60 = 60/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20 in this case. Dividing 60 by 20 gives 3, and dividing 100 by 20 gives 5. Therefore, the simplified fraction is 3/5, which translates to the ratio 3:5 in simplest form.
Solve for x: x/250 = 3/500
- A. 1.5
- B. 25.5
- C. 1500
- D. 2.5
Correct Answer: A
Rationale: To solve for x in the equation x/250 = 3/500, cross multiply to get x = (250 * 3) / 500. First, calculate the numerator, which is 750. Then, divide 750 by 500 to find x. Therefore, x = 1.5. Thus, the correct answer is A: 1.5.
What is the result of adding 6 3/4 and 8 1/6?
- A. 14 11/12
- B. 12 3/24
- C. 35/6
- D. 14 2/5
Correct Answer: A
Rationale: To add mixed numbers, convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Find a common denominator, which is 12. Add the fractions: 27/4 + 49/6 = 81/12 + 98/12 = 179/12. Convert the improper fraction back to a mixed number: 179/12 = 14 11/12. Therefore, the correct result of adding 6 3/4 and 8 1/6 is 14 11/12. The sum of the two mixed numbers is expressed as 14 11/12.
Add: 5/8 + 1/2 =
- A. 9\8
- B. 7\8
- C. 11\8
- D. 3\4
Correct Answer: C
Rationale: To add fractions, we need a common denominator. In this case, the common denominator for 8 and 2 is 8. So, 5/8 + 1/2 becomes 5/8 + 4/8 = 9/8. Therefore, the correct answer is C: 11/8. Choice A is incorrect because it does not account for the common denominator. Choice B is incorrect as it adds the numerators incorrectly. Choice D is incorrect as it simplifies the fractions incorrectly.
If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?
- A. 133 days
- B. 399 days
- C. 66 1/2 days
- D. 75 1/2 days
Correct Answer: C
Rationale: To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.