Question Detail

$\begin{aligned} \frac{5 \times 1.6 - 2 \times 1.4}{1.3} = ? \end{aligned}$

Answer: Option D

Explanation:

As per given equation we can solve like this :

$\begin{aligned} = \frac{8 - 2.8}{1.3} \\ = \frac{5.2}{1.3} = \frac{52}{13} \\ = 4 \end{aligned}$

1. 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:

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

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

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

2. 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

3. What decimal of an hour is a second

.0028
.0027
.0026
.0025

Answer: Option B

Explanation:

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

4. 34.95 + 240.016 + 23.98 = ?

288.946
298.946
198.946
188.946

Answer: Option B

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

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

Answer: Option D

Explanation:

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