ABC26GN1085 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
$\frac{1}{1 \cdot 2 \cdot 3}+\frac{1}{2 \cdot 3 \cdot 4}+\frac{1}{3 \cdot 4 \cdot 5}+\frac{1}{4 \cdot 5 \cdot 6}$ is equal to
(a)$\frac{7}{30}$
(b)$\frac{11}{30}$
(c)$\frac{13}{30}$
(d)$\frac{17}{30}$
Answer
Explanation
Given $\exp .=\frac{4 \cdot 5 \cdot 6+5 \cdot 6+2 \cdot 6+2 \cdot 3}{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6}=\frac{120+30+12+6}{720}$ $$=\frac{168}{720}=\frac{7}{30} .$$
Explanation as extracted from the printed page; notation may be imperfect.
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