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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Sequences and Series

NDA 2022 · Mathematics · Sequences and Series

The marks obtained by 51 students in a class are in AP with its...

The marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3. What is the median of the marks?

Options

  1. A79.5
  2. B79
  3. C78.5
  4. D77

Correct answer

B. 79

Step-by-step solution

Median = Middle term of A.P =(51+12)th =\left(\frac{51+1}{2}\right)^{\text{th }} term =26th =26^{\text{th }} term ∴T26=4+25×(3)=79\therefore \mathrm{T}_{26}=4+25 \times(3)=79
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