Question

If the mean of a data is 27 and its median is 33. Then, the mode is
(a) 30
(b) 43
(c) 45
(d) 47

Answer 1

(c) 45
$$\begin{gathered} \mathrm{Here},\mathrm{mean}=27\mathrm{and}\mathrm{mode}=33 \\ \therefore \mathrm{Mode}=3\mathrm{Median}-2\mathrm{Mean} \\ =3\times 33-2\times 27 \\ =99-54 \\ =45 \end{gathered}$$