Question Detail

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

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

Answer: Option D

Explanation:

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

1. What decimal of an hour is a second

.0028
.0027
.0026
.0025

Answer: Option B

Explanation:

1/(60*60) = 1/3600 = .0027

2. Which is in ascending order

3/2, 9/11, 7/9, 8/9
3/2, 7/9, 9/11, 8/9
9/11, 8/9, 3/2, 7/9
7/9, 3/2, 9/11, 8/9

Answer: Option B

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

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

Answer: Option D

Explanation:

4. 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:

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

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

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