Q103 / 170 · Manipal (MET) 2021 · Mathematics

If $a \lt b$, then $a \lt \frac{a+b}{2} \lt \ldots$.

  • A
    $2 a$
  • B
    $2 b$
  • Correct answer
    C
    $b$
  • D
    None of these

Solution

$a \lt b \Rightarrow \frac{a+b}{2} \lt \frac{b+b}{2}$ $\Rightarrow \quad \frac{a+b}{2} \lt b$

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

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