(i)The bulb X lasts longer than bulb Y (ii)The bulb Y does not lasts longer than bulb Z.(iii) Bulb Z lasts longer than bulb X .If the statements (i)and(ii) are true hen the statement (iii) is :
Explanation
Let's analyze the statements to determine the validity of statement (iii).
Statement (i): The bulb X lasts longer than bulb Y.
X > Y
Statement (ii): The bulb Y does not last longer than bulb Z.
Y ≤ Z
Statement (iii): Bulb Z lasts longer than bulb X.
Z > X
Combining the information from statements (i) and (ii):
From (i): X > Y
From (ii): Y ≤ Z
To find if (iii) is true, we need to see if Z > X can be logically derived from the given statements:
Since X > Y and Y ≤ Z, we can deduce X > Y ≤ Z, which means X is greater than or equal to Z (X > Z is not necessarily true, but X > Y ≤ Z suggests X may or may not be greater than Z).
Therefore, without additional information, we cannot definitively conclude whether Z > X is based solely on statements (i) and (ii).
So, the answer is "Uncertain."
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