C and E are wrong because they contradict basic properties and uses of ratios. Ratios can indeed be simplified by dividing both terms by the same non-zero number, in the same way that fractions are simplified, so C is false. E is also false because ratio and proportion are central to many aptitude problems, especially those involving sharing, mixtures and scaling. A, B and D all correctly describe comparison, equality in proportion and sharing applications, so the wrong statements are exactly C and E.
Option A:
Option A is incorrect because it identifies only C as wrong and overlooks E, which dismisses the importance of ratios in aptitude, a claim that clearly conflicts with the UGC NET syllabus. Leaving out E means not all wrong statements are captured.
Option B:
Option B is also incorrect since it treats only E as wrong and ignores C, which incorrectly states that ratios cannot be simplified. A proper understanding of ratio includes the idea of simplification.
Option C:
Option C is correct because it brings together both C and E, the two statements that misrepresent ratio properties and their examination relevance. It implicitly acknowledges that A, B and D provide accurate descriptions used in aptitude questions.
Option D:
Option D is wrong because it adds B, which is true about cross products in a proportion, to the set of supposed wrong statements. Including B makes the option inconsistent with the mathematical definition of proportion.
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