- This is an assessment test.
- These tests focus on the basics of Maths and are meant to indicate your preparation level for the subject.
- Kindly take the tests in this series with a pre-defined schedule.
Basic Maths: Test 56
Congratulations - you have completed Basic Maths: Test 56.
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Your answers are highlighted below.
Question 1 |
$\frac{0.216+0.064}{0.36-0.24+0.16}$ is equal to
0.3 | |
0.5 | |
0.8 | |
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
134 | |
136 | |
138 | |
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
1 | |
0.1 | |
0.01 | |
10 |
Question 3 Explanation:
$\begin{align}
& =\frac{5.29\times 0.14}{2.3\times 1.4\times 0.23} \\
& =\frac{529\times 14}{23\times 14\times 23}=1 \\
\end{align}$
Question 4 |
$45+5\times 0.5=?$
45 | |
47.25 | |
47.5 | |
41.5 |
Question 4 Explanation:
$\begin{align}
& 45+5\times 0.5=? \\
& \Rightarrow 45+2.5=? \\
& \Rightarrow ?=47.5 \\
\end{align}$
Question 5 |
$1864+423-?=1699$
518 | |
608 | |
588 | |
618 |
Question 5 Explanation:
$\begin{align}
& 1864+423-?=1699 \\
& \Rightarrow 2287-?=1699 \\
& \Rightarrow ?=2287-1699=588 \\
\end{align}$
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