Q253 / 270 · NDA 2019 (Phase 2) · Mathematics

The median of the observations $22,24,33,37, x+1, x+3,46$, $47,57,58$ in ascending order is 42 . What are the values of 5 th and 6 th observations respectively?

  • A
    42,45
  • Correct answer
    B
    41,43
  • C
    43,46
  • D
    40,40

Solution

$22,24,33,37, x+1, x+3,46,47,57,58$ given median $=42$ $\begin{aligned} & \frac{(x+1)+(x+3)}{2}=42 \\ & \Rightarrow \frac{2 x+4}{2}=42 \\ & \Rightarrow x+2=42 \\ & \Rightarrow x=40 \\ & \therefore \quad x+1=41 \\ & x+3=43 \end{aligned}$

Hence, the correct answer is option: 'B'.

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