UGC NET Questions (Paper – 1)

Statements A and B correctly describe arithmetic and geometric series as having constant difference and constant ratio respectively. Statement C is also true because many exam series mix patterns, for example by forming two interleaved sub-sequences. Statement E is correct since checking whether values rise, fall or oscillate helps to guess the right pattern. Statement D is false as some questions deliberately use interleaving or alternating rules. Therefore, the only combination that gathers all true statements and excludes the false one is A, B, C and E only.

Option A:
Option A is incorrect because although A, B and C are all true, the option omits E, which is also a correct and useful principle for analysing series. Since it does not list all the true statements, it cannot be the right answer.

Option B:
Option B is correct because it includes each true statement (A, B, C and E) and excludes D, which wrongly denies the possibility of interleaved or alternating sub-series in exam questions. It therefore matches the complete set of correct statements.

Option C:
Option C is wrong because it includes D, which incorrectly rules out interleaving of sub-series, and at the same time leaves out B, which correctly characterises geometric series. The presence of a false statement and the omission of a true one make this combination invalid.

Option D:
Option D is incorrect because it retains D along with B and E and omits A and C, so it both includes a false restriction about patterns and drops two true statements about arithmetic and mixed series.

The sequence can be split into two sub-series: 2, 4, 6 and 9, 11, 13. The first sub-series 2, 4, 6 increases by 2, and the second sub-series 9, 11, 13 also increases by 2. The next term should continue the first sub-series after 6, giving 8. Therefore, 8 is the correct next term for the combined series.

Option A:
Option A fits because it extends the first subsequence 2, 4, 6 to 8 using the same +2 rule. The combined sequence becomes 2, 9, 4, 11, 6, 13, 8, which keeps both interleaved progressions intact. Hence, this option matches the alternating structure.

Option B:
Option B is 14, which would belong naturally after 13 in the second subsequence. However, in the alternating arrangement, the next position should be filled by the first subsequence. Placing 14 here would disturb the alternation order. Thus, it is not correct.

Option C:
Option C is 15, which neither continues the +2 pattern from 6 nor fits the timing of the second subsequence. It introduces an extra value that does not align with either internal progression. Therefore, 15 cannot be accepted.

Option D:
Option D is 10, which does not belong to the first subsequence 2, 4, 6 when extended by adding 2. It also does not fit the second subsequence at this position. Hence, 10 fails to respect the dual structure and is incorrect.