Two statements are given followed by three conclusions numbered I, II and III. Consider the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follow(s) from the given statements provided. Statements: Some clocks have numbers. All clocks have needles. Conclusions: Some clocks have needles. All needles are clocks. Some numbers are needles.
Question
Two statements are given followed by three conclusions numbered I, II and III. Consider the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follow(s) from the given statements provided. Statements: Some clocks have numbers. All clocks have needles. Conclusions: Some clocks have needles. All needles are clocks. Some numbers are needles.
Solution
Based on the given statements, we can draw the following conclusions:
I. Some clocks have needles. - This conclusion is true. The statement clearly says that all clocks have needles, so it's logical to say that some clocks have needles.
II. All needles are clocks. - This conclusion is false. While all clocks have needles, it doesn't mean that all needles are clocks. There could be needles that are not part of a clock.
III. Some numbers are needles. - This conclusion is false. The statements do not provide any logical connection between numbers and needles. While some clocks have numbers and all clocks have needles, it doesn't mean that some numbers are needles.
So, only conclusion I is true.
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