Let p and p+2 be prime numbers and let ∆=\left|\begin{array}{cccc}& & & \ {\p\end{array} ! , ( {\p}+1) ! , ( {\p}+2) ! ; ( {\p}+1) ! , ( {\p}+2) ! , ( {\p}+3) ! ; ( {\p}+2) ! , ( {\p}+3) ! , ( {\p}+4) ! |} Then the sum of the maximum values of \alpha and \beta, such that {\p}^\alpha and ( {\p}+2)^\beta divide ∆, is ________. [29-Jul-2022-Shift-1]

JEE Mains 29-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 27 of 90

Marks: +1, -0

Let p and p+2 be prime numbers and let ∆=|

|

Then the sum of the maximum values of α and β, such that pα and (p+2)β divide ∆, is ________.

[29-Jul-2022-Shift-1]

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