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.
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