Data Sufficiency Simple Equation – UGC NET Question

Statement (1) presents a solvable linear equation, 3x + 2 = 20, which has a unique solution. Solving it gives x = 6, so statement (1) by itself fully determines the value of x. Statement (2) only tells us that x is an integer but gives no equation or relation to narrow down x further. Therefore, statement (2) alone does not allow us to find a unique x. In data sufficiency terms, (1) alone is sufficient while (2) alone is not.

Option A:
Option A correctly reflects that statement (1) yields a unique solution for x, and that statement (2) adds no new restrictive information when used alone.

Option B:
Option B reverses the roles of the statements and incorrectly claims that simply knowing x is an integer is sufficient to find a unique value, which is impossible without an equation.

Option C:
Option C assumes that neither statement can independently identify x, which is incorrect because statement (1) clearly does.

Option D:
Option D states that each statement alone is sufficient, but this overstates the power of statement (2), which does not determine any specific numerical value.