1 :

Hint : 🔢 Remaining clients.

Correct Answers:

  • 25%


Rationale :

📊 The total number of clients is 12, and 9 are being discharged today.

📊 Therefore, 12 − 9 = 3 clients will not be discharged.

📊 The percentage is calculated as (3 ÷ 12) × 100 = 25%.

57%

📊 This is incorrect because it overestimates the percentage of remaining clients.

📊 It does not match the correct calculation.

75%

📊 This represents the percentage being discharged, not those remaining.

📊 It is the complement of the correct answer.

43%

📊 This is an arbitrary percentage and does not correspond to the calculation.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

2 :

Hint : 🛏️ Apply discount + shipping.

Correct Answers:

  • T=(0.9)160X+25


Rationale :

💰 Each bedding unit costs $160, and a 10% discount means 90% of the price is paid, which is 0.9 × 160.

💰 For X units, the total discounted cost is 0.9 × 160 × X.

💰 Shipping is a fixed cost of $25, which is added to the total.

💰 The total cost equation is therefore T = (0.9)(160)X + 25.

T = (-0.1)160X + 25

💰 This incorrectly represents a negative discount, which is not applicable.

💰 It does not reflect actual cost calculation.

T = (0.9)160X + 25X

💰 Adding 25X incorrectly treats shipping as per unit rather than a flat rate.

💰 Shipping is a fixed cost of $25.

T = (0.1)160X + 25

💰 This calculates only the discount amount, not the total cost.

💰 It does not reflect the actual payment.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

3 :

Hint : ✏️ Solve step-by-step.

Correct Answers:

  • y = 3


Rationale :

✍️Start with the equation 5y − 9 = 2y.

✍️Subtract 2y from both sides: 3y − 9 = 0.

✍️Add 9 to both sides: 3y = 9.

✍️Divide both sides by 3: y = 3.

y = -3

✍️Incorrect sign from miscalculation.

✍️This does not satisfy the original equation.

y = 27

✍️Overestimation due to multiplication error.

✍️It is not the solution.

y = -27

✍️Incorrect negative value and magnitude.

✍️Does not satisfy 5y − 9 = 2y.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

4 :

Hint : 🔢 Round to tenth.

Correct Answers:

  • 24.4 kg


Rationale :

🏗️ The original measurement is 24.375 kg.

🏗️ Rounding to the nearest tenth place requires looking at the hundredth digit (7).

🏗️ Since 7 ≥ 5, round up the tenth digit from 3 to 4.

🏗️ Therefore, the rounded weight is 24.4 kg.

24.38 kg

🏗️ This rounds to the hundredth place, not the tenth.

🏗️ It is less standard in reporting materials.

24.3 kg

🏗️ This rounds down incorrectly, ignoring the hundredth digit.

🏗️ It underestimates the required material.

24.37 kg

🏗️ Retains three decimal places, not nearest tenth.

🏗️ Overly precise for standard use.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

5 :

Hint : 🐕 Calculate (part ÷ total) × 100.

Correct Answers:

  • 44%


Rationale :

🐾 Number of people with at least one pet = 11

🐾Total surveyed = 25.

🐾 Percentage = (11 ÷ 25) × 100 = 44%.

14%

🐾 Incorrect calculation; underestimates proportion.

🐾 Not reflective of survey data.

36%

🐾 Incorrect division and rounding error.

🐾 Does not represent true percentage.

11%

🐾 Too small; likely misinterpretation of raw numbers.

🐾 Does not reflect 11 out of 25.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

6 :

Hint : ➖ Diagonal = √(L² + W²).

Correct Answers:

  • 17m


Rationale :

📐 Use the Pythagorean theorem for the diagonal: √(length² + width²).

📐 Diagonal = √(15² + 9²) = √(225 + 81) = √306 ≈ 17.49 m.

📐 Rounded to the nearest meter = 17 m.

18 m

📐 Slight overestimate due to rounding without calculation.

📐 Not precise.

24 m

📐 Overestimation; does not follow Pythagorean theorem.

📐 Not accurate.

12 m

📐 Underestimation; ignores length contribution.

📐 Incorrect diagonal.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

7 :

Hint : 🛢️ Divide by 3.78.

Correct Answers:

  • 61


Rationale :

⛽ Convert liters to gallons using 1 gallon = 3.78 L.

⛽ Gallons = 231 ÷ 3.78 ≈ 61.1 gallons.

⛽ Round to nearest whole number = 61 gallons.

873

⛽ Overestimation; likely multiplied incorrectly.

⛽ Not realistic.

227

⛽ Underestimation; calculation error.

⛽ Does not reflect correct conversion.

77

⛽ Slight overestimation; rounding error from approximate calculation.

⛽ Not precise.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

8 :

Hint : 🥣 Multiply pints → fl oz → Tbsp.

Correct Answers:

  • 160 Tbsp


Rationale :

🥄 1 pint = 16 fluid ounces

🥄5 pints = 5 × 16 = 80 fl oz.

🥄 1 fl oz = 2 Tbsp, so 80 × 2 = 160 Tbsp.

80 Tbsp

🥄 Only accounts for 1 fl oz per Tbsp; incorrect.

🥄 Underestimates total.

192 Tbsp

🥄 Overestimation; possibly using 24 fl oz per pint.

🥄 Incorrect formula.

32 Tbsp

🥄 Significant underestimation; calculation error.

🥄 Not reflective of 5 pints.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

9 :

Hint : 🕒 Sum of remaining fractions.

Correct Answers:

  • 85 minutes


Rationale :

⏱️ The first task takes 1 hour, of which one-fourth is completed, so 3/4 of the first task remains = 45 minutes.

⏱️ The second task takes 1 hour, of which one-third is completed, so 2/3 remains = 40 minutes.

⏱️ Total remaining time = 45 + 40 = 85 minutes.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

10 :

Hint : 📏 Round to nearest tenth.

Correct Answers:

  • 12.9


Rationale :

🔢 Convert 12 6/7 to decimal: 6 ÷ 7 ≈ 0.857.

🔢 So, 12 6/7 ≈ 12.857.

🔢 Rounded to the nearest tenth, check the hundredths digit: 5 → round up.

🔢 Therefore, 12.857 rounds to 12.9.

12.85

🔢 Retains too many decimals; not rounded to nearest tenth.

🔢 Not standard rounding.

12.8

🔢 Incorrect rounding; hundredths digit (5) requires rounding up.

🔢 Does not match proper rounding rules.

12.86

🔢 Incorrect hundredths digit handling; exceeds correct tenth rounding.

🔢 Not consistent with rounding rules.


Distractor Analysis :

Rationale for Incorrect Options to be Available Soon

Total Questions: 10

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