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BITSAT 2016
Exam
BITSAT
Year
2016
Subject
Mathematics
Chapter
Sequences and Series

BITSAT 2016 · Mathematics · Sequences and Series

The arithmetic mean of numbers a, b, c, d, e is M . What is the...

The arithmetic mean of numbers a, b,c,d,e\mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e} is M\mathrm{M}. What is the value of (a−M)+(b−M)+(c−M)+(d−M)+(e−M)?(a-M)+(b-M)+(c-M)+(\mathrm{d}-\mathrm{M})+(\mathrm{e}-\mathrm{M}) ?

Options

  1. AM\mathrm{M}
  2. Ba+b+c+d+ea+b+c+d+e
  3. C0
  4. D5M5 \mathrm{M}

Correct answer

C. 0

Step-by-step solution

Given M=a+b+c+d+e5⇒a+b+c+d+e=5M⇒a+b+c+d+e−5m=0\mathrm{M}=\frac{\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}+\mathrm{e}}{5}\Rightarrow a+b+c+d+e=5 M\Rightarrow a+b+c+d+e-5 m=0⇒(a−M)+(b−M)+(c−M)+(d−M)+(e−M)=0\begin{array}{l} \Rightarrow(a-M)+(b-M)+(c-M)+(d-M) \\ +(e-M)=0 \end{array}Hence,requiredvalueHence, required value=0
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