Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (23.08.2024) Shift-I
Identify the numbers that occur in the series 1, 1, 7, 17, 31, 49, … Choose the correct answer from the options given below.
- 1. 74
- 2. 95
- 3. 97
- 4. 127
- 5. 161
A1, 2 and 3 only
B3, 4 and 5 only ✓ Correct
C5, 2 and 1 only
D3, 4 and 2 only
Correct answer: (B) 3, 4 and 5 only — The numbers that occur are 97, 127 and 161, so the answer is 3, 4 and 5.
Explanation
★The numbers that occur are 97, 127 and 161, so the answer is 3, 4 and 5.
★The series increases by 0, 6, 10, 14, 18 and so on, adding four more each time.
★Continuing gives 49 plus 22 as 71, then 71 plus 26 as 97, so statement 3 occurs.
★The next term is 97 plus 30, which is 127, so statement 4 occurs.
★The next term is 127 plus 34, which is 161, so statement 5 occurs.
★The values 74 and 95 do not appear in the series, so statements 1 and 2 are excluded.
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