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Add: 1/4 + 3/8 =
- A. 5/8
- B. 1/2
- C. 4/12
- D. 1/3
Correct Answer: A
Rationale: To add the fractions, first convert 1/4 to a common denominator with 3/8. The common denominator is 8: (1/4) = 2/8. Then, add: 2/8 + 3/8 = 5/8. Therefore, the correct answer is A) 5/8.
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Ratio and Proportion: 240 : X :: 80 : 0.8 (Enter a numeric value only.)
- A. 2.4
- B. 3.2
- C. 4
- D. 1.6
Correct Answer: A
Rationale: To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 * 0.8 = 80 * X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.
Convert 0.07 to a ratio.
- A. 7:10
- B. 7:10,000
- C. 7:1,000
- D. 0.361111
Correct Answer: D
Rationale: To convert 0.07 to a ratio, we first need to express it as a fraction. 0.07 as a fraction is 7/100. To convert this to a ratio, we need to express it in the form of a ratio of two integers. Therefore, 7/100 can be simplified to 7:100. Hence, the correct answer is D: 7:100.
Explanation:
A) 7:10 - Incorrect. This ratio is not equivalent to 0.07.
B) 7:10,000 - Incorrect. This ratio is not equivalent to 0.07.
C) 7:1,000 - Incorrect. This ratio is not equivalent to 0.07.
Summary: The correct ratio for 0.07 is 7:100, which represents the equivalent proportion of the decimal value. Other choices are incorrect as they do not accurately represent the given decimal value.
How many ounces are equivalent to 3 gallons?
- A. 256 oz.
- B. 42 oz.
- C. 128 oz.
- D. 384 oz.
Correct Answer: D
Rationale: To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces. Therefore, to find out how many ounces are in 3 gallons, you multiply 3 (gallons) by 128 (ounces per gallon) which equals 384 ounces. Hence, the correct answer is 384 oz.
In the ratio 0.6 : X :: 7 : 42, what is X?
- A. 3
- B. 3.6
- C. 4
- D. 4.2
Correct Answer: B
Rationale: To find the value of X in the given ratio, set up the proportion: (0.6/X) = (7/42). Simplifying this, we get (0.6/X) = (1/6). Cross multiplying gives 0.6 * 6 = X, which results in X = 3.6. Therefore, the correct answer is 3.6, representing the value of X in the given ratio.
If the quotient of X and 12 is 4, what is the divisor?
- A. X+12
- B. X-12
- C. 4
- D. 3
Correct Answer: C
Rationale: To find the divisor when the quotient of X and 12 is 4, we use the formula for division: Dividend = Divisor x Quotient. Given that the quotient is 4 and Dividend = X, we have X = 12 x 4 = 48. Therefore, the divisor is the number that, when multiplied by 4, equals 48, which is 12. So, the correct answer is C: 4.
Choice A (X+12) is incorrect because it represents adding X and 12 together, not the divisor.
Choice B (X-12) is incorrect because it represents subtracting 12 from X, not the divisor.
Choice D (3) is incorrect because it is not related to the given information about X and the quotient being 4.