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 and C both capture the cross-multiplication property of equal ratios in a proportion. Statement B is a direct algebraic consequence of A when all terms are non-zero. Statement D is correct because multiplying or dividing each term by the same non-zero factor leaves the ratio unchanged. Statement E is false, since if a:b = 2:3, then b:a should be 3:2, not 3:4. Therefore, A, B, C and D only form the correct set, which is option D.

Option A:
Option A is incomplete as it has only A, B and C and omits D, thereby ignoring the important rule about scaling ratios, which is frequently used in simplifying or comparing them.

Option B:
Option B is incorrect because it omits B (true) and so fails to include the fraction form a/c = b/d implied by a:b = c:d.

Option C:
Option C is incomplete since it excludes A; without stating ad = bc explicitly, the key proportionality check is missing even though some other statements are true.

Option D:
Option D is correct because it gathers all the fundamental properties of proportions and ratio scaling while excluding E, which misstates the inverse ratio of 2:3.