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Complete the following series: 582, 581, 585, 576, 592, 567, ______

Paper 1 · Mathematical Reasoning and Aptitude UGC NET 02nd Jan 2026 Shift 1
Complete the following series: 582, 581, 585, 576, 592, 567, ______
A601
B602
C603 ✓ Correct
D599
Answer: C
Explanation
Look at the gaps between the terms. They are minus 1, plus 4, minus 9, plus 16, minus 25, which are the squares of 1, 2, 3, 4 and 5 with alternating signs. The next gap is plus 36, the square of 6, so the missing term is 567 plus 36 = 603.

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