Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (19.12.2023) Shift-II
Find the number that can replace the question mark (?) in the series given below: 1.5, 5, 10.5, 18, 27.5, 39, ?
A48.5
B52.5 ✓ Correct
C62.5
D72.5
Correct answer: (B) 52.5 — The missing number is 52.5, so the answer is 52.5.
Explanation
★The missing number is 52.5, so the answer is 52.5.
★The series is 1.5, 5, 10.5, 18, 27.5, 39, then the blank.
★The differences are 3.5, 5.5, 7.5, 9.5, 11.5, rising by 2 each time.
★The next difference is therefore 13.5.
★Adding 13.5 to 39 gives 52.5.
★Such number series are cracked by finding the pattern in successive differences.
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