Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (22.08.2024) Shift-II
Identify the numbers that occur in the series 0, 7, 26, 63, 124, … Choose the correct answer from the options given below.
- 1. 344
- 2. 511
- 3. 215
- 4. 730
A1 and 2 only
B2 and 3 only ✓ Correct
C3 and 4 only
D1 and 4 only
Correct answer: (B) 2 and 3 only — The numbers that occur are 511 and 215, so the answer is 2 and 3.
Explanation
★The numbers that occur are 511 and 215, so the answer is 2 and 3.
★Each term follows the rule n cubed minus 1.
★For n equal to 6, 6 cubed minus 1 is 215, so statement 3 occurs.
★For n equal to 8, 8 cubed minus 1 is 511, so statement 2 occurs.
★The values 344 and 730 do not fit the rule for any whole number.
★So only statements 2 and 3 occur in the series.
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