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JEE Advanced Mathematics question

MathematicsBasic Mathematics and LogarithmJEE Advanced

Let . If when divided by leaves 5 as remainder, and is divisible by then

Answer: (C)

Solution

Remainder theorem: :

-Missing argument for \frac\frac a8+Missing argument for \frac\frac54+Missing argument for \frac\frac b2+1=5\ ⇒\ -a+4b=22.

Factor theorem on : :

Missing argument for \frac\frac a3+Missing argument for \frac\frac{10}3

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Question ID VK-107896