Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (22.08.2024) Shift-I
Identify the numbers that occur in the series 2, 10, 30, 68, 130, … Choose the correct answer from the options given below.
- 1. 738
- 2. 349
- 3. 520
- 4. 222
A1, 2 and 3 only
B2, 3 and 4 only
C1, 3 and 4 only ✓ Correct
D1, 2 and 4 only
Correct answer: (C) 1, 3 and 4 only — The numbers that occur are 738, 520 and 222, so the answer is 1, 3 and 4.
Explanation
★The numbers that occur are 738, 520 and 222, so the answer is 1, 3 and 4.
★Each term follows the rule n cubed plus n.
★For n equal to 6, 6 cubed plus 6 is 222, so statement 4 occurs.
★For n equal to 8, 8 cubed plus 8 is 520, so statement 3 occurs.
★For n equal to 9, 9 cubed plus 9 is 738, so statement 1 occurs.
★The value 349 does not fit the rule for any whole number, so statement 2 is excluded.
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