TANCET 2025 Solved Papers

Concept:A unique integer value is found only when the given conditions together restrict $x$ to exactly one number.Explanation:From statement (1): $x > 2$, so $x$ can be $3, 4, 5, \dots$This gives many possible values. Hence, statement (1) alone is not sufficient.From statement (2): $x < 4$, so $x$ can be $\dots, 0, 1, 2, 3$This also gives many possible values. Hence, statement (2) alone is not sufficient.Combining both statements: since $x$ is an integer,$2 < x < 4$ means the only possible integer is $x = 3$.Thus, both statements together give a definite answer.Answer:Option C: BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.