ABC26GN0740 · Decimal Fractions
Subject: General Aptitude · Chapter: Decimal Fractions · Exam: 2010 · Marks: · Difficulty:
The expression $\frac{3}{4}+\frac{5}{36}+\frac{7}{144}+\cdots+\frac{17}{5184}+\frac{19}{8100} \quad$ is equal to
(a)0.9
(b)0.95
(c)0.99
(d)1.91
Answer
Explanation
Given expression $$\begin{aligned} & =\left(1-\frac{1}{4}\right)+\left(\frac{1}{4}-\frac{1}{9}\right)+\left(\frac{1}{9}-\frac{1}{16}\right)+\cdots+\left(\frac{1}{81}-\frac{1}{100}\right) \\ & =1-\frac{1}{100}=\frac{99}{100}=0.99 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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