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Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}

  • 113
  • 1.13
  • 11.3
  • 113

Answer: Option C

Explanation:

\begin{aligned}
a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
\end{aligned}

\begin{aligned}
= \frac{10.3^3 + 1^3}
{10.3^2 + 1^2 - 10.3 \times 1}
\end{aligned}

\begin{aligned}
= (a+b) = (10.3+1) = 11.3
\end{aligned}

Similar Questions :

1. Evaluate
6202.5 + 620.25 + 62.025 + 6.2025 + .62025

  • 6791.59775
  • 6891.59775
  • 6891.59675
  • 5891.59775

Answer: Option B

Explanation:

Just we need to take care to put decimal under decimal, rest add in a simple way

2. 0.5 * 0.002 = ?

  • 0.0001
  • 0.01
  • 0.1
  • 0.001

Answer: Option D

3. 0.7683 + 0.369 + 0.05 + 0.8 = ?

  • 1.9873
  • 0.9873
  • 1.8873
  • 1.9872

Answer: Option A

4. \begin{aligned}
(0.34\overline{67} + 0.13\overline{33}) = ?
\end{aligned}

  • \begin{aligned} 0.048\overline{01} \end{aligned}
  • \begin{aligned} 4.8\overline{01} \end{aligned}
  • \begin{aligned} 48.\overline{01} \end{aligned}
  • \begin{aligned} 0.48\overline{01} \end{aligned}

Answer: Option D

Explanation:

\begin{aligned}
(0.34\overline{67} + 0.13\overline{33})\end{aligned}
\begin{aligned} =
\frac{3467-34}{9900} + \frac{1333-13}{9900}
\end{aligned}
\begin{aligned}
= \frac{3433 + 1320}{9900}
= \frac{4753}{9900}
\end{aligned}
\begin{aligned}
= \frac{4801 - 48}{9900}
= 0.48\overline{01}
\end{aligned}

5. Evaluate
\begin{aligned}
\frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5}
\end{aligned}

  • 80
  • 800
  • 8000
  • 80000

Answer: Option B

Explanation:

\begin{aligned}
\frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5}
\end{aligned}

\begin{aligned}
= \frac{36 \times 48 \times 250}{12 \times 9 \times 5} = 800
\end{aligned}

Read more from - Decimal Fraction Questions Answers