Q44 / 160 · AP EAMCET 2021 (25 Aug Shift 1) · Mathematics

For all $n \in N,(n+24)(n+25)(n+26)(n+27)$ is divisible by

  • A
    27
  • B
    26
  • C
    29
  • Correct answer
    D
    24

Solution

Since, $(n+24)(n+25)(n+26)(n+27)$ is a product of consecutive four natural numbers. $\therefore$ It is divisible by $4 !=24$

Hence, the correct answer is option: 'D'.

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