Instructions
Each item is followed by two statements A and B. Answer each question using the following Options :
Question 5
If $$x$$ is an integer, then what is the value of $$x^2$$ ?
A. $$\left(\frac{1}{5}\right) < \left(\frac{1}{(x + 1)}\right) < \left(\frac{1}{2}\right)$$
B. $$(x - 3) (x- 4) = 0$$
Solution
A) : $$\left(\frac{1}{5}\right) < \left(\frac{1}{(x + 1)}\right) < \left(\frac{1}{2}\right)$$
=> $$2<(x+1)<5$$
=> $$1<x<4$$
Thus, possible values of $$x$$ are : 2, 3 and since there is not a unique value, hence this statement alone is insufficient.
B) : $$(x - 3) (x- 4) = 0$$
=> $$x=3,4$$
Similarly, this statement alone is also not sufficient. But by combining both statements, we get : $$x=3$$ and $$x^2=9$$
=> Ans - (C)
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