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Karen went to the grocery store with $40. She bought a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?
- A. $30.95
- B. $31.90
- C. $32.10
- D. $34.95
Correct Answer: B
Rationale: To determine how much money Karen has left, we need to subtract the total cost of the items she purchased from the initial amount. The total cost of the items is $1.85 + $3.20 + $3.05 = $8.10. Subtracting $8.10 from $40, we find $40 - $8.10 = $31.90. Therefore, Karen has $31.90 remaining after buying the items.
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Round to the nearest whole number: 4748 — 12 =
- A. 372
- B. 384
- C. 396
- D. 412
Correct Answer: C
Rationale: To find the result of 4748 — 12 and round to the nearest whole number, multiply 4748 by 12 to get 56976. When considering rounding to the nearest whole number, 56976 is closest to 57000. Since 56976 is closer to 57000 than to 56000, the rounded answer is 57000. Therefore, the correct rounded answer is 57000, which corresponds to 396 in the given choices.
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.
Round to the nearest whole number: What is 17 out of 68 as a percent?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator (17) by the denominator (68) to get approximately 0.25. Then, multiply this decimal by 100 to get the percentage. 0.25 * 100 = 25%. Since we are asked to round to the nearest whole number percentage, the answer is 25%. Therefore, the correct choice is B, 25%.
20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)
- A. 5
- B. 6
- C. 7.5
- D. 8
Correct Answer: C
Rationale: To find the value of x, set up the proportion: 20/5 = 30/x. Cross-multiply to get 20x = 150. Dividing both sides by 20 gives x = 7.5. Therefore, the value of x is 7.5 when rounded to the nearest tenth.
How many ounces are in 3 gallons?
- A. 256 oz
- B. 384 oz
- C. 512 oz
- D. 128 oz
Correct Answer: B
Rationale: To convert gallons to ounces, you should multiply by the conversion factor of 128 (1 gallon = 128 ounces). Therefore, to find the number of ounces in 3 gallons, you calculate: 3 gallons x 128 ounces/gallon = 384 ounces. Hence, there are 384 ounces in 3 gallons.