Multiple choice

Find the missing term in the following series. 960, 720, 600, ?, 510, 495

  1. 530

  2. 535

  3. 540

  4. 545

  5. 550
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C Correct answer
Explanation

The differences between consecutive terms are: 960-720=240, 720-600=120, 600-x, x-510, 510-495=15. The pattern of differences is 240, 120, 60, 30, 15 (each is half the previous). Thus, 600-60 = 540, and 540-30 = 510.

AI explanation

The series follows a pattern of subtracting numbers from the multiplication table of 60 in decreasing order. The first difference is 240 (960 - 720), the second difference is 120 (720 - 600), and the fourth difference is 15 (510 - 495). To maintain the pattern of 240, 120, 60, 30, 15, the third difference must be 60, meaning we subtract 60 from 600 to get the missing term 540. Subtracting the next difference of 30 from 540 gives 510, confirming the logic. The missing term is 540.

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