Multiple choice

In the following number series one number is given wrong, find the number? $23040 \qquad 2408 \qquad 288 \qquad 48 \qquad 12 \qquad 6$

  1. $23040$
  2. $2408$
  3. $288$
  4. $48$
  5. $6$
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B Correct answer
Explanation

The series follows a division pattern: divide by 2, then by square root of perfect squares in descending order (10, 7, 5, 3, 2). Starting from 23040: 23040/2 = 11520, 11520/10 = 1152, 1152/2 = 576, 576/7 ≈ 82.29, 82.29/2 = 41.14, 41.14/5 = 8.23, 8.23/2 = 4.11, 4.11/3 = 1.37. The number 2408 (2880/2 = 1440, 1440/10 = 144) breaks this pattern and should be 2880.

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