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What is 7/8 + 9/10 + 6/5 as a mixed number?
- A. 3 22/23
- B. 3 39/40
- C. 22/23
- D. 2 39/40
Correct Answer: A
Rationale: To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.
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Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, about how far can he drive on a full tank?
- A. 400 miles
- B. 100 miles
- C. 320 miles
- D. 41 miles
Correct Answer: A
Rationale: To determine the distance Roger can drive on a full tank, you need to multiply the miles per gallon by the tank capacity. Since his car gets 25 miles per gallon and the tank holds 16 gallons, the calculation would be: 25 miles/gallon * 16 gallons = 400 miles. Therefore, Roger can drive approximately 400 miles on a full tank of gas.
What is the sum of 2/3 + 1/6 + 2/5?
- A. 1/3
- B. 2/5
- C. 1 & 7/30
- D. 1 & 1/15
Correct Answer: C
Rationale: To add fractions, we need to find a common denominator. The least common multiple of 3, 6, and 5 is 30. Convert each fraction to have the denominator 30. 2/3 becomes 20/30, 1/6 becomes 5/30, and 2/5 becomes 12/30. Adding these fractions gives us 20/30 + 5/30 + 12/30 = 37/30, which simplifies to 1 & 7/30. Therefore, the correct answer is 1 & 7/30.
2.5:150 :: 20:x = ?
- A. X = 3000
- B. X = 1000
- C. X = 1500
- D. X = 1200
Correct Answer: D
Rationale: The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.
What is 27 minus 3.54?
- A. 24.46
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To solve this subtraction problem, you need to subtract 3.54 from 27. When subtracting decimals, start by aligning the decimal points. Subtract the whole number part first (27 - 3 = 24) and then subtract the decimal part (0.54). This results in 23.46. Therefore, the correct answer is 23.46 (choice B). Remember, when subtracting decimals, align the decimal points and carry out the subtraction as if they were whole numbers.
What is the result of the subtraction 27 - 3.54?
- A. 24.46
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To subtract 3.54 from 27, align the decimal points and subtract as you would with whole numbers. 27 - 3.54 equals 23.46. Therefore, the correct answer is 23.46, corresponding to option B. Remember to be careful with decimal point placement and borrow if necessary when subtracting decimals.