UGC NET Questions (Paper – 1)

Statement B is the only wrong statement in this group. A is correct because data sufficiency focuses on whether information is enough, not on computing the final number. C is true since some questions are solvable with one statement but not with the other alone. D is also correct because in some cases, even combining statements fails to give a unique answer. E is correct since we generally presume the given data are consistent unless told otherwise. B is false because two insufficient statements may remain insufficient when combined.

Option A:
Option A is incorrect as it treats both A and B as wrong, even though A accurately states the objective in data sufficiency problems. Misclassifying A makes the option invalid.

Option B:
Option B is correct because it isolates B as the sole incorrect statement, capturing the fact that insufficiency of each statement alone does not guarantee sufficiency when combined.

Option C:
Option C is wrong because it wrongly marks C as wrong as well, even though C describes a common situation where one statement alone can be sufficient.

Option D:
Option D is incorrect since it ignores B altogether and claims only C and D are wrong, even though D and C correctly describe typical sufficiency patterns and B is the problematic rule.

Statements A and B describe the core task and one possible sufficiency pattern, D highlights that sometimes both statements together are needed and E correctly notes that these questions focus on judging sufficiency rather than performing detailed computation. Statement C is false because in many data sufficiency items it is enough to determine that a unique answer can be found in principle, without actually computing it. Therefore, the combination A, B, D and E only is correct.

Option A:
Option A is incomplete because it omits E and so underplays the fact that data sufficiency emphasises reasoning about information rather than heavy calculation. Without E, the skill focus of these questions is not fully captured.

Option B:
Option B is also incomplete since it leaves out A, failing to mention explicitly that the central goal is to determine sufficiency of information, not to solve the problem numerically. This omission weakens the conceptual framing.

Option C:
Option C is wrong because it includes C, the mistaken requirement to always compute exact answers, and it also omits E, thereby misrepresenting the very philosophy of data sufficiency questions.

Option D:
Option D is correct because it contains all the true statements about how sufficiency is judged and how statements are used, while excluding C, which contradicts standard instructions for such items. It aligns with UGC NET-style data sufficiency patterns.

A number divisible by 4 must be divisible by 2, so it is even; no number that is a multiple of 4 can be odd. Likewise, any number divisible by 6 must also be divisible by 2, because 6 = 2 × 3, so divisibility by 6 implies divisibility by 2. Therefore, either statement by itself guarantees that x is even. Since each statement is independently enough to answer the question, each alone is sufficient.

Option A:
Option A underestimates statement (2), but divisibility by 6 already includes divisibility by 2, so statement (2) is also sufficient.

Option B:
Option B reverses the mistake by underestimating statement (1), though any multiple of 4 is clearly even.

Option C:
Option C claims that only the combination of statements can decide parity, which is wrong because each provides its own independent guarantee of evenness.

Option D:
Option D correctly recognises that both conditions individually ensure x is even, making each statement sufficient on its own.

A is correct because typical answer choices in these questions classify sufficiency patterns for the two statements. B is true as understanding what is being asked is the first step before checking sufficiency. D is also correct since the primary skill tested is judging sufficiency, not heavy computation. C is false because if either statement alone is sufficient, then both statements together are also sufficient even if redundant, and E is false because when both together suffice, the overall information is treated as sufficient. Thus A, B and D only are correct.

Option A:
Option A omits D and therefore fails to convey the main focus of these questions on sufficiency rather than calculation. Without D, the description of purpose is incomplete.

Option B:
Option B is correct because it combines the structural pattern in answer choices, the need to read the question and the intended skill focus, while excluding C and E, which misrepresent how combined sufficiency is treated.

Option C:
Option C includes E, which wrongly labels a jointly sufficient pair as insufficient, and omits A, so it fails both structurally and conceptually.

Option D:
Option D contains E as well and leaves out B, thereby misclassifying a false statement while losing an important instruction about reading the main 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.