Question:

Each item is followed by two statements A and B. Answer the question using the instructions.
If x is an integer, then what is the value of x²?
A. 1/(5)< < (1/(x + 1)) << (1/2)
B. (x - 3)(x - 4) = 0

Updated On: Sep 30, 2024
  • the question can be answered by one statement alone, but cannot be answered by using the other statement alone.
  • the question can be answered by using either statement alone.
  • the question can be answered by using both the statements together but cannot be answered by using either statement alone.
  • the question cannot be answered even by using both the statements together.
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The Correct Option is C

Solution and Explanation

A):(15)<(1x+1)<(12)A):(\frac{1}{5}) < (\frac{1}{x+1})< (\frac{1}{2})
2<(x+1)<52<(x+1)<5
1<x<41<x<4
Thus, possible values of xx are : 2, 3 and since there is not a unique value, hence this statement alone is insufficient.
B);(x3)(x4)=0B);(x-3)(x-4)=0
Similarly, this statement alone is also not sufficient. But by combining both statements, we get:x=3x=3  and x2=9x^{2} =9
The correct option is (C): If the question can be answered by using both the statements together but cannot be answered by using either statement alone.

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