UGC NET Questions (Paper – 1)

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.

Statements A, B, C and E correctly describe the behaviour of clock hands and the nature of related aptitude questions: the minute and hour hands have known revolution times, their relative speed determines meeting or opposite positions and questions hinge on both angular calculations and relative motion. Statement D is false because the hour also affects the angle; for example, 3:00 and 4:00 have different angles even though the minutes are zero. Hence, the combination A, B, C and E only is correct.

Option A:
Option A is correct because it includes all the true statements while excluding D, which oversimplifies angular dependence by ignoring the hour. It reflects the standard method used to model clock questions in NET exams.

Option B:
Option B is incomplete since it omits E and so does not mention that these problems blend geometry and speed concepts. Without E, the description of the skill set tested is less comprehensive.

Option C:
Option C is wrong because it includes D, which incorrectly denies the effect of the hour hand on the angle, and it also omits A, failing to mention the minute hand’s revolution time. This mix of omission and error makes the option invalid.

Option D:
Option D is incorrect as it leaves out B, and so does not state that the hour hand takes 12 hours to complete a revolution, which is important for computing relative motion. The combination is thus incomplete even though some statements in it are true.

Statements A and B are true because the weekday sequence repeats every seven days and a non-leap year of 365 days shifts the starting weekday by one day in the next year. Statement E is also correct since many calendar questions ask candidates to determine the weekday for a given date. Statement C is false because leap years have 366 days, and D is false because century years must be divisible by 400, not merely by 4, to be leap years. Hence, the combination A, B and E only is correct.

Option A:
Option A is incomplete as it omits E and does not explicitly connect the calendar structure to typical exam tasks that require finding weekdays. Without E, the applied dimension of the topic is missing.

Option B:
Option B is correct because it groups the three true statements about the cyclic nature, year shift and exam usage of calendar facts, while rejecting C and D, which misrepresent leap-year and day-count rules. It thus matches the logical content of NET-level calendar questions.

Option C:
Option C is wrong because it adds C, which incorrectly assigns 365 days to leap years, and still omits D, failing to discuss the additional condition for century years. Including C makes the option factually incorrect.

Option D:
Option D is incorrect since it includes D, the statement that ignores the special rule for centuries, and therefore endorses a mistaken description of the Gregorian calendar. This misclassification invalidates the option.