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\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tHow many ounces are there in a gallon?
\n

","questionPreview":null,"options":[{"id":1399881,"position":0,"text":"32","imageUrl":null},{"id":1399882,"position":1,"text":"64","imageUrl":null},{"id":1399883,"position":2,"text":"128","imageUrl":null},{"id":1399884,"position":3,"text":"1/4","imageUrl":null}],"correctOptions":[2],"correctAnswerHtml":null,"explanation":"Use dimensional analysis to convert from gallons to ounces.
1 Gallon = 4 Quarts
1 Quart = 2 Pints
1 Pint = 2 Cups
1 Cup = 8 Ounces

","aiExplanation":"## 1. Correct Answer\n**C.** 128\n\n---\n\n## 2. Evaluation\n\n**A.** 32\n\n32 ounces equals **1 quart**, not 1 gallon. Since **4 quarts = 1 gallon**, a gallon is much larger than 32 ounces.\n\n**B.** 64\n\n64 ounces equals **half a gallon**. Because **1 gallon = 128 ounces**, this is only half the correct amount.\n\n**C.** 128\n\nA **gallon contains 128 fluid ounces**. A quick way to remember it is: **1 gallon = 4 quarts** and **1 quart = 32 ounces**, so **4 × 32 = 128**.\n\n**D.** 1/4\n\nThis is not a correct ounce measurement for a gallon. A gallon is measured as **128 fluid ounces**, not **1/4** ounce.\n\n---\n\n## 3. Overall Explanation\n\nThe correct answer is **C**. In U.S. customary units, **1 gallon = 128 fluid ounces**. You can find this by using **4 quarts in a gallon** and **32 ounces in a quart**, so **4 × 32 = 128**.","revealAnswer":{"schemaVersion":"mcq_option_analysis_v1","correctOptionPositions":[2],"isMultiSelect":false,"overallExplanationHtml":"

The correct answer is C. In U.S. customary units, 1 gallon = 128 fluid ounces. You can find this by using 4 quarts in a gallon and 32 ounces in a quart, so 4 × 32 = 128.

","options":[{"position":0,"label":"A","explanationHtml":"

32 ounces equals 1 quart, not 1 gallon. Since 4 quarts = 1 gallon, a gallon is much larger than 32 ounces.

","isCorrect":false},{"position":1,"label":"B","explanationHtml":"

64 ounces equals half a gallon. Because 1 gallon = 128 ounces, this is only half the correct amount.

","isCorrect":false},{"position":2,"label":"C","explanationHtml":"

A gallon contains 128 fluid ounces. A quick way to remember it is: 1 gallon = 4 quarts and 1 quart = 32 ounces, so 4 × 32 = 128.

","isCorrect":true},{"position":3,"label":"D","explanationHtml":"

This is not a correct ounce measurement for a gallon. A gallon is measured as 128 fluid ounces, not 1/4 ounce.

","isCorrect":false}]},"images":[{"ext":"png","hash":"8db42327947bc2cc","context":"answer","assetKey":"images/8db42327947bc2cca4cb2651f67aa5ab1bc1e80db5960d5fdc2be85e8cb6d662.png"}]},{"id":358603,"sortOrder":2,"type":"multiple_choice","domain":null,"visibility":"full","questionText":"

\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tWhat is 70% of 65?
\n

","questionPreview":null,"options":[{"id":1399885,"position":0,"text":"45.5","imageUrl":null},{"id":1399886,"position":1,"text":"50.5","imageUrl":null},{"id":1399887,"position":2,"text":"65","imageUrl":null},{"id":1399888,"position":3,"text":"110.5","imageUrl":null}],"correctOptions":[0],"correctAnswerHtml":null,"explanation":"Recall that:

Substitute given values and solve for the unknown:

Alternatively, directly multiplying 65 by 0.7 will yield the same result.","aiExplanation":"## 1. Correct Answer\n**A.** 45.5\n\n---\n\n## 2. Evaluation\n\n**A.** 45.5\n\nConvert 70% to a decimal: **0.70**. Then multiply: **0.70 × 65 = 45.5**. This is the correct answer.\n\n**B.** 50.5\n\nThis is too high. **70% of 65** must be less than 65, and the exact product is **45.5**, not 50.5.\n\n**C.** 65\n\nThis would represent **100% of 65**, not **70%** of 65.\n\n**D.** 110.5\n\nThis is impossible because **70% of 65** cannot be greater than 65. The correct value is **45.5**.\n\n---\n\n## 3. Overall Explanation\n\nTo find **70% of 65**, change the percent to a decimal and multiply:\n\n**70% = 0.70**\n\n**0.70 × 65 = 45.5**\n\nSo the correct answer is **A. 45.5**. The community reference also points to **A**, which matches the correct calculation.","revealAnswer":{"schemaVersion":"mcq_option_analysis_v1","correctOptionPositions":[0],"isMultiSelect":false,"overallExplanationHtml":"

To find 70% of 65, change the percent to a decimal and multiply:

70% = 0.70

0.70 × 65 = 45.5

So the correct answer is A. 45.5. The community reference also points to A, which matches the correct calculation.

","options":[{"position":0,"label":"A","explanationHtml":"

Convert 70% to a decimal: 0.70. Then multiply: 0.70 × 65 = 45.5. This is the correct answer.

","isCorrect":true},{"position":1,"label":"B","explanationHtml":"

This is too high. 70% of 65 must be less than 65, and the exact product is 45.5, not 50.5.

","isCorrect":false},{"position":2,"label":"C","explanationHtml":"

This would represent 100% of 65, not 70% of 65.

","isCorrect":false},{"position":3,"label":"D","explanationHtml":"

This is impossible because 70% of 65 cannot be greater than 65. The correct value is 45.5.

","isCorrect":false}]},"images":[{"ext":"png","hash":"9edf4e8674f08513","context":"answer","assetKey":"images/9edf4e8674f08513b5a23fce9819d19759388311cd74b51e011e1d22389996a6.png"},{"ext":"png","hash":"aee580fd8042ed0d","context":"answer","assetKey":"images/aee580fd8042ed0db7fc03dc3867fd1e72b628b0a0c041351380a51fd3cd39dc.png"}]},{"id":358604,"sortOrder":3,"type":"multiple_choice","domain":null,"visibility":"full","questionText":"

\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tFor a recipe, there are 3 eggs needed for every pound of cake needed. How many pounds of cake can be made if there are 40 eggs?
\n

","questionPreview":null,"options":[{"id":1399889,"position":0,"text":"12","imageUrl":null},{"id":1399890,"position":1,"text":"13","imageUrl":null},{"id":1399891,"position":2,"text":"14","imageUrl":null},{"id":1399892,"position":3,"text":"15","imageUrl":null}],"correctOptions":[1],"correctAnswerHtml":null,"explanation":"Write a proportion to represent the situation:

Cross multiply and solve for the variable x:
3x = 40 x = 131/3
Only 13 pounds of cake can be made.","aiExplanation":"## 1. Correct Answer\n**B.** 13\n\n---\n\n## 2. Evaluation\n\n**A.** 12\n\nUsing the ratio **3 eggs for 1 pound of cake**, divide the total eggs by 3: **40 ÷ 3 = 13 remainder 1**. That means you can make **13 whole pounds** of cake with 1 egg left over, so this is correct.\n\n**B.** 13\n\nUsing the ratio **3 eggs for 1 pound of cake**, divide the total eggs by 3: **40 ÷ 3 = 13 remainder 1**. That means you can make **13 whole pounds** of cake with 1 egg left over, so this is the best answer.\n\n**C.** 14\n\nThis would require **14 × 3 = 42 eggs**, but only **40 eggs** are available, so this is too high.\n\n**D.** 15\n\nThis would require **15 × 3 = 45 eggs**, but only **40 eggs** are available, so this is too high.\n\n---\n\n## 3. Overall Explanation\n\nSet up the ratio as **3 eggs : 1 pound of cake**. With **40 eggs**, compute:\n\n**40 ÷ 3 = 13.33...**\n\nSo you can make **13 whole pounds** of cake, with **1 egg left over**. Therefore, the correct answer is **B**.","revealAnswer":{"schemaVersion":"mcq_option_analysis_v1","correctOptionPositions":[1],"isMultiSelect":false,"overallExplanationHtml":"

Set up the ratio as 3 eggs : 1 pound of cake. With 40 eggs, compute:

40 ÷ 3 = 13.33...

So you can make 13 whole pounds of cake, with 1 egg left over. Therefore, the correct answer is B.

","options":[{"position":0,"label":"A","explanationHtml":"

Using the ratio 3 eggs for 1 pound of cake, divide the total eggs by 3: 40 ÷ 3 = 13 remainder 1. That means you can make 13 whole pounds of cake with 1 egg left over, so this is correct.

","isCorrect":false},{"position":1,"label":"B","explanationHtml":"

Using the ratio 3 eggs for 1 pound of cake, divide the total eggs by 3: 40 ÷ 3 = 13 remainder 1. That means you can make 13 whole pounds of cake with 1 egg left over, so this is the best answer.

","isCorrect":true},{"position":2,"label":"C","explanationHtml":"

This would require 14 × 3 = 42 eggs, but only 40 eggs are available, so this is too high.

","isCorrect":false},{"position":3,"label":"D","explanationHtml":"

This would require 15 × 3 = 45 eggs, but only 40 eggs are available, so this is too high.

","isCorrect":false}]},"images":[{"ext":"png","hash":"ed0de0256ec9ec67","context":"answer","assetKey":"images/ed0de0256ec9ec67717f7cec74783ed1a1259368c4e89db2e05a2cc444c87bb5.png"}]},{"id":358605,"sortOrder":4,"type":"multiple_choice","domain":null,"visibility":"full","questionText":"

\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tEvaluate:
x4 y if x = 3 and y = 20
\n

","questionPreview":null,"options":[{"id":1399893,"position":0,"text":"61","imageUrl":null},{"id":1399894,"position":1,"text":"65","imageUrl":null},{"id":1399895,"position":2,"text":"−8","imageUrl":null},{"id":1399896,"position":3,"text":"−10","imageUrl":null}],"correctOptions":[0],"correctAnswerHtml":null,"explanation":"Substitute the values of x and y into the given equation and evaluate:
= 34 (20)
= 81 20
= 61","aiExplanation":"## 1. Correct Answer\n**A.** 61\n\n---\n\n## 2. Evaluation\n\n**A.** 61\n\nThis is correct if the expression is interpreted as **x^4 - y**. Substitute the given values: **3^4 - 20 = 81 - 20 = 61**.\n\n**B.** 65\n\nThis would be incorrect. Using **x^4 - y**, the value is **81 - 20 = 61**, not **65**.\n\n**C.** −8\n\nThis does not match the evaluation of **x^4 - y**. Since **3^4 = 81**, subtracting **20** gives **61**, not **−8**.\n\n**D.** −10\n\nThis is also incorrect. After substituting **x = 3** and **y = 20** into **x^4 - y**, the result is **61**.\n\n---\n\n## 3. Overall Explanation\n\nThe expression is most reasonably read as **x^4 - y**.\n\nSubstitute the values:\n\n- **x = 3**\n- **y = 20**\n\nCompute the exponent first:\n\n**3^4 = 81**\n\nThen subtract **y**:\n\n**81 - 20 = 61**\n\nSo the correct answer is **A**.","revealAnswer":{"schemaVersion":"mcq_option_analysis_v1","correctOptionPositions":[0],"isMultiSelect":false,"overallExplanationHtml":"

The expression is most reasonably read as x^4 - y.

Substitute the values:

x = 3
y = 20

Compute the exponent first:

3^4 = 81

Then subtract y:

81 - 20 = 61

So the correct answer is A.

","options":[{"position":0,"label":"A","explanationHtml":"

This is correct if the expression is interpreted as x^4 - y. Substitute the given values: 3^4 - 20 = 81 - 20 = 61.

","isCorrect":true},{"position":1,"label":"B","explanationHtml":"

This would be incorrect. Using x^4 - y, the value is 81 - 20 = 61, not 65.

","isCorrect":false},{"position":2,"label":"C","explanationHtml":"

This does not match the evaluation of x^4 - y. Since 3^4 = 81, subtracting 20 gives 61, not −8.

","isCorrect":false},{"position":3,"label":"D","explanationHtml":"

This is also incorrect. After substituting x = 3 and y = 20 into x^4 - y, the result is 61.

","isCorrect":false}]},"images":null},{"id":358606,"sortOrder":5,"type":"multiple_choice","domain":null,"visibility":"full","questionText":"

\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSubtract: 1001 − 99 =
\n

","questionPreview":null,"options":[{"id":1399897,"position":0,"text":"900","imageUrl":null},{"id":1399898,"position":1,"text":"902","imageUrl":null},{"id":1399899,"position":2,"text":"999","imageUrl":null},{"id":1399900,"position":3,"text":"1,000","imageUrl":null}],"correctOptions":[],"correctAnswerHtml":null,"explanation":"","aiExplanation":"## 1. Correct Answer\n**B.** 902\n\n---\n\n## 2. Evaluation\n\n**A.** 900\n\nSubtracting 99 from 1001 gives **902**. A quick way is to subtract 100, then add 1 back: 1001 − 100 = 901, and 901 + 1 = **902**.\n\n**B.** 902\n\nThis is correct. Use compensation: **1001 − 99 = 1001 − 100 + 1 = 901 + 1 = 902**.\n\n**C.** 999\n\nThis is too high. It does not reflect subtracting 99 from 1001 correctly.\n\n**D.** 1,000\n\nThis would be the result of subtracting only 1 from 1001, not 99.\n\n---\n\n## 3. Overall Explanation\n\nThe correct answer is **902**. A fast mental-math method is to treat 99 as 100 − 1:\n\n- 1001 − 100 = 901 \n- 901 + 1 = 902\n\nSo, **1001 − 99 = 902**.","revealAnswer":{"schemaVersion":"mcq_option_analysis_v1","correctOptionPositions":[1],"isMultiSelect":false,"overallExplanationHtml":"

The correct answer is 902. A fast mental-math method is to treat 99 as 100 − 1:

1001 − 100 = 901
901 + 1 = 902

So, 1001 − 99 = 902.

","options":[{"position":0,"label":"A","explanationHtml":"

Subtracting 99 from 1001 gives 902. A quick way is to subtract 100, then add 1 back: 1001 − 100 = 901, and 901 + 1 = 902.

","isCorrect":false},{"position":1,"label":"B","explanationHtml":"

This is correct. Use compensation: 1001 − 99 = 1001 − 100 + 1 = 901 + 1 = 902.

","isCorrect":true},{"position":2,"label":"C","explanationHtml":"

This is too high. It does not reflect subtracting 99 from 1001 correctly.

","isCorrect":false},{"position":3,"label":"D","explanationHtml":"

This would be the result of subtracting only 1 from 1001, not 99.

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HESI Admission Assessment Exam (A2)

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