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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. \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}

2. Which is in descending order

  • 11/17, 7/11, 8/15, 5/9
  • 11/17, 5/9, 7/11, 8/15
  • 5/9, 8/15, 11/17, 7/11
  • 11/17, 7/11, 5/9, 8/15

Answer: Option D

3. Arrange the fractions in ascending order

  • 5/8 < 7/12 < 3/4< 13/16
  • 5/8 < 7/12 < 13/16 < 3/4
  • 5/8 < 3/4< 13/16 < 7/12
  • 7/12 < 5/8 < 3/4< 13/16

Answer: Option D

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4< 13/16

4. 1/0.04 is equal to

  • 25.5
  • 2.5
  • 25
  • .25

Answer: Option C

Explanation:

1/0.04 = (1 * 100)/4 = 100/4 = 25

5. Evaluate 2.5 / .0005

  • 5000
  • 500
  • 50000
  • 50

Answer: Option A

Explanation:

2.5 * 10000 / 5 = 25000/5 = 5000

Read more from - Decimal Fraction Questions Answers