Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (11.07.2022) Shift-I
Find the missing term in the series: 2, 5, 9, 19, 37, ?
A74
B75 ✓ Correct
C71
D72
Correct answer: (B) 75 — The missing term is 75.
Explanation
★The missing term is 75.
★Each term is roughly double the previous, so look at the doubling pattern with a small adjustment.
★From 2 to 5 the rule is times 2 plus 1, giving 5.
★From 5 to 9 the rule is times 2 minus 1, and from 9 to 19 it is times 2 plus 1.
★From 19 to 37 it is times 2 minus 1, so the next step is times 2 plus 1.
★Thus 37 times 2 plus 1 equals 75, which is the answer.
★Number series problems are solved by testing consistent arithmetic operations between successive terms.
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