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MCQMediumJEE Main 2026 · 22 January, Shift 2Functions

Mathematics Question from JEE Main 2026 · 22 January, Shift 2

Let ff and gg be functions satisfying

f(x+y)=f(x)f(y),f(1)=7f(x+y) = f(x)f(y), \quad f(1) = 7 g(x+y)=g(xy),g(1)=1,g(x+y) = g(xy), \quad g(1) = 1,

for all x,y∈Nx,y \in \mathbb{N}. If

∑x=1n(f(x)g(x))=19607,\sum_{x=1}^{n} \left(\frac{f(x)}{g(x)}\right) = 19607,

then nn is equal to

  • A

    55

  • B

    44

  • C

    66

  • D

    77

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