20205
Question
A {{collective}} of {{who}} were {{work}} {{what}}.
In a full day's work, the mean number of {{verb}} by the {{who}} was {{number}}.
Which of the following statements MUST be true?
Worked Solution
Although some of the statements could possibly be true, only one must be true:
Mean = {{frac}} = {{number}}
∴ {{{correctAnswer}}}
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Variant 0
DifficultyLevel
537
Question
A group of seasonal workers were harvesting lettuces.
In a full day's work, the mean number of lettuces picked by the seasonal workers was 246.
Which of the following statements MUST be true?
Worked Solution
Although some of the statements could possibly be true, only one must be true:
Mean = number of workerstotal lettuces picked = 246
∴ The total number of lettuces picked divided by the number of workers equals 246.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
collective | |
who | |
work | |
what | |
verb | |
number | |
frac | $\dfrac{\text{total lettuces picked}}{\text{number of workers}}$ |
correctAnswer | The total number of lettuces picked divided by the number of workers equals 246. |
Answers
Is Correct? | Answer |
x | More workers picked 246 lettuces than any other number. |
x | Half the group picked less than 246 lettuces. |
x | The highest number of lettuces picked was 246. |
✓ | The total number of lettuces picked divided by the number of workers equals 246. |
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Variant 1
DifficultyLevel
537
Question
A team of labourers were harvesting pineapples.
In a full day's work, the mean number of pineapples picked by the labourers was 196.
Which of the following statements MUST be true?
Worked Solution
Although some of the statements could possibly be true, only one must be true:
Mean = number of labourerstotal pineapples picked = 196
∴ The total pineapples picked divided by the number of labourers is 196.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
collective | |
who | |
work | |
what | |
verb | |
number | |
frac | $\dfrac{\text{total pineapples picked}}{\text{number of labourers}}$ |
correctAnswer | The total pineapples picked divided by the number of labourers is 196. |
Answers
Is Correct? | Answer |
x | The difference between the most and least pineapples picked by the labourers is 196. |
✓ | The total pineapples picked divided by the number of labourers is 196. |
x | The highest number of pineapples picked by any individual labourer is 196. |
x | Half the labourers picked 196 pineapples. |
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Variant 2
DifficultyLevel
537
Question
A group of workers were picking avocados.
In a full day's work, the mean number of avocados picked by the workers was 512.
Which of the following statements MUST be true?
Worked Solution
Although some of the statements could possibly be true, only one must be true:
Mean = number of workerstotal avocados picked = 512
∴ The total number of avocados picked divided by the number of workers is 512.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
collective | |
who | |
work | |
what | |
verb | |
number | |
frac | $\dfrac{\text{total avocados picked}}{\text{number of workers}}$ |
correctAnswer | The total number of avocados picked divided by the number of workers is 512. |
Answers
Is Correct? | Answer |
x | Less than half of the group picked 512 avocados. |
x | More than half the group picked 512 avocados. |
x | More workers picked exactly 512 avocados than other number. |
✓ | The total number of avocados picked divided by the number of workers is 512. |
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Variant 3
DifficultyLevel
537
Question
A team of labourers were harvesting durians.
In a full day's work, the mean number of durians picked by the labourers was 162.
Which of the following statements MUST be true?
Worked Solution
Although some of the statements could possibly be true, only one must be true:
Mean = number of pickerstotal durians picked = 162
∴ The total number of durians picked divided by the number of labourers is 162.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
collective | |
who | |
work | |
what | |
verb | |
number | |
frac | $\dfrac{\text{total durians picked}}{\text{number of pickers}}$ |
correctAnswer | The total number of durians picked divided by the number of labourers is 162. |
Answers
Is Correct? | Answer |
x | Less than half of the labourers picked 162 durians. |
x | More labourers picked 162 durians than any other number. |
✓ | The total number of durians picked divided by the number of labourers is 162. |
x | More than half of the labourers picked 162 durians. |
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Variant 4
DifficultyLevel
537
Question
A team of pickers were harvesting watermelons.
In a full day's work, the mean number of watermelons picked by the pickers was 81.
Which of the following statements MUST be true?
Worked Solution
Although some of the statements could possibly be true, only one must be true:
Mean = number of pickerstotal watermelons picked = 81
∴ The total number of watermelons harvested divided by the number of pickers is 81.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
collective | |
who | |
work | |
what | |
verb | |
number | |
frac | $\dfrac{\text{total watermelons picked}}{\text{number of pickers}}$ |
correctAnswer | The total number of watermelons harvested divided by the number of pickers is 81. |
Answers
Is Correct? | Answer |
x | Exactly half of the pickers harvested 81 watermelons. |
x | The difference between the highest and lowest number of watermelons harvested by individuals is 81. |
x | More pickers harvested 81 watermelons than any other number. |
✓ | The total number of watermelons harvested divided by the number of pickers is 81. |