Question Detail

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}

1. Evaluate
\begin{aligned}
\frac{2.39^2 - 1.61^2}{2.39 - 1.61}
\end{aligned}

Answer: Option C

Explanation:

Use following formula to solve it quickly
\begin{aligned}
\frac{a^2-b^2}{a-b}=\frac{(a+b)(a-b)}{(a-b)} = (a+b)
\end{aligned}
= (2.39+1.61) = 4

2. Which is in ascending order

1/3, 2/5, 3/5, 6/7
2/5, 1/3, 3/5, 6/7
1/3, 2/5, 6/7, 3/5
3/5, 6/7, 1/3, 2/5

Answer: Option A

3. 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}

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}