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Question Detail
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}
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. 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
3. 15.06 * 0.0001 = ?
- 15060000
- 0.001506
- 0.01506
- 0.1506
Answer: Option B
Explanation:
Clearly after decimal 6 digits should be there.
4. Value of
\begin{aligned}
0.5\overline{6}
\end{aligned}
- \begin{aligned} \frac{51}{99} \end{aligned}
- \begin{aligned} \frac{51}{90} \end{aligned}
- \begin{aligned} \frac{51}{9} \end{aligned}
- \begin{aligned} \frac{510}{99} \end{aligned}
Answer: Option B
Explanation:
\begin{aligned}
0.5\overline{6} = \frac {56 - 5}{90} = \frac {51}{90}
\end{aligned}
5. If 144/0.144 = 14.4/x, then x = ?
- 0.144
- 0.0144
- .00144
- 1.44
Answer: Option B
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