Mathematics - Basic maths Question with Solution | TestHub

MathematicsBasic mathsMiscellaneous/MixedMedium2 minPYQ_2014

MathematicsMediumsingle choice

The greatest positive integer, which divides $n (n + 1) (n + 2) (n + 3)$ for all $n \in N,$ is

Answer:

Solution:

The product of $r$ consecutive integers is divisible byr! . Thus $n (n + 1) (n + 2) (n + 3)$ is divisible by $4! = 24$

Stream:JEESubject:MathematicsTopic:Basic mathsSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2014

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