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"Arcane" perfectly fits the context, referring to something known or understood by only a few, and "oblivious" fits well because the physicist is so absorbed that he is unaware of anything else. Thus, the best answer is (b) arcane, oblivious.
4, 12, 36, 108, ?, 396
24, 42, 60, ?, 96, 114
4, 5, 11, 34, 137, ?
What will come in the place of questions (?) mark in the following questions.
40, 25, 30, 50, 105, ?
25, 30, 50, 60, 80, ?
8 24 48 144 288 ?
...1029, 1030, 1039, 1064, ?, 1194
10, 20, 60, 300, ?, 23100
44 45 41 50 ? 59 23
...18, 21, 45, 138, 555, ?