What is the result of subtracting 3.54 from 27?
- A. 24.56
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To find the result of subtracting 3.54 from 27, you need to subtract the two numbers. 27 - 3.54 equals 23.46. Therefore, the correct answer is B. When subtracting a smaller number from a larger number, the result will be smaller than the original number. In this case, subtracting 3.54 from 27 results in 23.46, not 24.56, 33.3, or 24.54. Therefore, the only correct answer choice is B.
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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.
What is the result of adding 23.5 + 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, align the decimals and add the numbers: 23.5 + 7.025 = 30.525. The correct answer is choice A, which is 30.525. When adding decimal numbers, it's essential to align the decimal points properly and perform the addition as usual. Careful attention to decimal arithmetic ensures accuracy in the final result, making choice A the correct answer.
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.
How many pints are in 80 ounces?
- A. 1,280 pints
- B. 16 pints
- C. 15 pints
- D. 5 pints
Correct Answer: D
Rationale: To determine how many pints are in 80 ounces, we use the conversion that 1 pint is equal to 16 ounces. Therefore, 80 ounces divided by 16 ounces per pint equals 5 pints (80/16 = 5). Choice D, 5 pints, is the correct answer. Choice A is incorrect as it miscalculates by multiplying 80 by 16 instead of dividing. Choices B and C are incorrect as they do not use the correct conversion factor of 16 ounces per pint. Thus, the correct answer is D, 5 pints, as it accurately applies the conversion factor to solve the problem.
Solve for x: 7:42 :: 4:x
- A. 12
- B. 48
- C. 24
- D. 16
Correct Answer: C
Rationale: To solve the analogy 7:42 :: 4:x, we first simplify the ratio 7:42 to 1:6 by dividing both numbers by 7. Maintaining the same simplification, we apply it to 4:x, resulting in 4:24. Therefore, x = 24, making choice C the correct answer as it completes the analogy.
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