in Quantitative Aptitude edited by
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3 votes
3 votes

Let $\text{S} =\displaystyle \sum_{i=1}^n f(x_i), \text{A}=\displaystyle\sum_{i=1}^{a} f(x_i)$ and $\text{B}=\displaystyle \sum_{i=a}^n f(x_i)$ then
Which of the following is/are true?

(Consider f as some arbitary function)

  1. $\text{S = A + B}$
  2. $\text{S}=\displaystyle \sum_{i=1}^{a-1} f(x_i)+f(a)+ \text{B}$
  3. $\text{S}=\displaystyle \sum_{i=1}^{a-1} f(x_i)+f(a)+ \text{B}$
  4. $\text{S = A + B}-f(a)$
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3 Comments

Option B and C are same. Please correct it.
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Option A,B,C same.
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In option C, f(a) should not be there.
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1 Answer

2 votes
2 votes
A is false because it is adding two times at $i=a.$

1 comment

Since option B & C are same. So, if option B is false then option C is also false.

Answer is D.
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Answer:

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