NIMCET 2024 Paper

Section: Mathematics

Question : 49 of 120

Marks: +1, -0

It is given that the mean, median, and mode of a data set is

1,3^x

and

9^x

respectively. The possible values of the mode is

Solution:

We know that 3 (median) - Mode

=2

(Mean)

\;⇒ 3 × 3^x-9^x=2 × 1

\;⇒ y^2-3 y+2=0, \;\text " where "\; y=3^x

\;⇒ y=1,2

Hence possible value of mode = 1, 4

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