UGC NET Questions (Paper – 1)

Statement A matches the definition of percentage as a ratio per hundred. C is correct because a 25% profit implies selling price equals cost price plus 25% of cost, giving 125% of cost. D is true since equal ratios constitute a proportion. E is also correct; if a:b = 2:3, reversing gives b:a = 3:2. B is false, because a 20% increase followed by a 20% decrease results in a net 4% decrease. Thus A, C, D and E only form the correct set.

Option A:
Option A is incomplete; while A and C are true, omitting D and E ignores important proportional and inverse ratio relationships frequently examined in NET aptitude questions.

Option B:
Option B is wrong as it includes B, which misstates the effect of successive percentage changes, and so mixes a false statement with correct ones.

Option C:
Option C is correct because it collects the accurate definitions and interpretations of percentage, profit, proportion and inverse ratio, while excluding B, which leads to a typical exam trap.

Option D:
Option D is incorrect because it includes B, allowing a false claim about successive percentage operations into the option, even though C, D and E are correct.

Statements A, B and C are all correct descriptions of standard percentage and profit–loss ideas. Percentages convert quantities to a base of 100, profit percent is typically calculated on cost price, and a discount, when given, lowers the marked price. Statement D is false because an x% increase followed by an x% decrease leads to an overall decrease, not a return to the original value, and E is false since percentage questions are very common in mathematical aptitude sections of UGC NET. Therefore the combination containing A, B and C only is correct.

Option A:
Option A is incomplete because it omits C, even though the understanding that discounts reduce marked price is crucial for many profit–loss and discount problems. Without C, the description of applied percentage use is partial.

Option B:
Option B is correct since it collects all the true statements and excludes D and E, which give misleading information about successive percentage changes and exam pattern. It accurately reflects how percentages operate in typical NET aptitude questions.

Option C:
Option C is wrong because it adds D to the set, asserting that equal increase and decrease cancel out exactly, which is mathematically incorrect. Including D makes the overall combination invalid.

Option D:
Option D is also incorrect because it includes E, which wrongly denies the presence of percentage-based aptitude questions in UGC NET, and omits A, thereby leaving out the foundational definition of percentage.