ABC26GN0733 · Decimal Fractions
Subject: General Aptitude · Chapter: Decimal Fractions · Exam: · Marks: · Difficulty:
$\frac{96.54-89.63}{96.54+89.63} \div \frac{965.4-896.3}{9.654+8.963}=$ ?
(a)$10^{-2}$
(b)$10^{-1}$
(c)10
(d)None of these
Answer
Explanation
Given expression $=\frac{(96.54-89.63)}{(96.54+89.63)} \times \frac{(9.654+8.963)}{(965.4-896.3)}$ $$\begin{aligned} & =\frac{(96.54-89.63)}{(965.4-896.3)} \times \frac{(9.654+8.963)}{(96.54+89.63)} \\ & =\frac{(96.54-89.63)}{10(96.54-89.63)} \times \frac{(96.54+89.63)}{10(96.54+89.63)} \\ & =\frac{1}{10} \times \frac{1}{10}=\frac{1}{100}=\frac{1}{10^{2}}=10^{-2} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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