ABC26GN1547 · Average

Subject: General Aptitude · Chapter: Average · Exam: 2006 · Marks: · Difficulty:

The average of $x_{1}, x_{2}, x_{3}$ and $x_{4}$ is 16. Half the sum of $x_{2}, x_{3}, x_{4}$ is 23. What is the value of $x_{1}$ ?

(a)17

(b)18

(c)19

(d)20

Answer

Answer (as printed): B

Explanation

$x_{1}+x_{2}+x_{3}+x_{4}=16 \times 4=64$. $\frac{1}{2}\left(x_{2}+x_{3}+x_{4}\right)=23 \Rightarrow x_{2}+x_{3}+x_{4}=46$. $$\therefore x_{1}=64-46=18 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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