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Alike is correct. It is a predicate adjective meaning “similar” and is used after a verb (e.g., “They are alike”). Like is used as a preposition before a noun (e.g., “He looks like his father”). Same requires the definite article “the” (e.g., “They look the same”) and cannot stand alone without it.
Correct Answer: C — alike.
The recorded value $3.50 \text{ cm}$ has a precision of $0.01 \text{ cm}$. We must find an instrument with a least count (LC) of $0.01 \text{ cm}$.
- Option A: $LC = \frac{1 \text{ mm}}{100} = 0.01 \text{ mm} = 0.001 \text{ cm}$
- Option B: $LC = \frac{1 \text{ mm}}{50} = 0.02 \text{ mm} = 0.002 \text{ cm}$
- Option C: $LC = 0.1 \text{ cm}$
- Option D: $1 \text{ MSD} = \frac{1 \text{ cm}}{10} = 0.1 \text{ cm}$. Since $10 \text{ VSD} = 9 \text{ MSD}$, $1 \text{ VSD} = 0.9 \text{ MSD}$. $LC = 1 \text{ MSD} - 1 \text{ VSD} = 0.1 \text{ MSD} = 0.01 \text{ cm}$.
Thus, Option D matches the required precision.
Fill in the blank: He has been working ______ this project for two weeks.
The correct preposition is 'on' when referring to working on a task or project. 'Working on a project' is the standard phrase.
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