Basic Maths: Test 56

This is an assessment test.
These tests focus on the basics of Maths and are meant to indicate your preparation level for the subject.
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Basic Maths: Test 56

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Question 1

$\frac{0.216+0.064}{0.36-0.24+0.16}$ is equal to

A	0.3
B	0.5
C	0.8
D	1.0

Question 1 Explanation:

$\begin{align} & if\,\,0.6=a\,\,\,and\,\,\,0.4=b\,\,\,then, \\ & Expression\,\, \\ & =\frac{{{a}^{3}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}} \\ & =\frac{\left( a+b \right)\left( {{a}^{2}}-ab+{{b}^{2}} \right)}{{{a}^{2}}-ab+{{b}^{2}}}=a+b \\ & =0.6+0.4=1.0 \\ \end{align}$

Question 2

$\sqrt{\frac{0.025\times 0.049\times 0.008\times 0.64}{0.002\times 0.0008\times 0.0002}}$ is equal to

A	134
B	136
C	138
D	140

Question 2 Explanation:

$\begin{align} & =\sqrt{\frac{0.025\times 0.049\times 0.008\times 0.64}{0.002\times 0.0008\times 0.0002}} \\ & =\sqrt{\frac{25\times 49\times 8\times 64}{2\times 8\times 2}} \\ & =5\times 7\times 4 \\ & =140 \\ \end{align}$

Question 3

$\frac{5.29\times 0.14}{2.3\times 1.4\times 0.23}$is simplified to