- 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 55
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Question 1 |
The value of $\left[ \frac{{{\left( 0.456+0.123 \right)}^{2}}-{{\left( 0.456-0.123 \right)}^{2}}}{0.456\times 0.123} \right]$ is
4 | |
0.211 | |
0.463 | |
0.4246 |
Question 1 Explanation:
Let 0.456=a and 0.123 =b.
Therefore expression
$=\frac{{{\left( a+b \right)}^{2}}-{{\left( a-b \right)}^{2}}}{ab}=\frac{4ab}{ab}=4$
Therefore expression
$=\frac{{{\left( a+b \right)}^{2}}-{{\left( a-b \right)}^{2}}}{ab}=\frac{4ab}{ab}=4$
Question 2 |
The simplified value of
$\sqrt{400}+\sqrt{0.04}-\sqrt{0.000004}$is
20.202 | |
20.22 | |
20.198 | |
22.818 |
Question 2 Explanation:
$\begin{align}
& =\sqrt{400}+\sqrt{0.04}-\sqrt{0.000004} \\
& =20+0.2-0.002 \\
& =20.198 \\
\end{align}$
Question 3 |
$1.\overline{4}\times 0.\overline{27}$ =
$0.\overline{14}$ | |
$0.0\overline{26}$ | |
$0.\overline{39}$ | |
$0.\overline{027}$ |
Question 3 Explanation:
\[\begin{align}
& =1.\overline{4}\times 0.\overline{27} \\
& =\frac{13}{9}\times \frac{27}{99}=\frac{39}{99} \\
& =0.\overline{39} \\
\end{align}\]
Question 4 |
$1440\times ?=1080$
$\frac{1}{4}$ | |
$\frac{3}{4}$ | |
$\frac{3}{5}$ | |
$\frac{2}{3}$ |
Question 4 Explanation:
$\begin{align}
& 1440\times ?=1080 \\
& \Rightarrow ?=\frac{1080}{1440}=\frac{3}{4} \\
\end{align}$
Question 5 |
50% of ? = 250
50 | |
5000 | |
500 | |
600 |
Question 5 Explanation:
50% of ? = 250
=> (50 x ?)/100 = 250
=> ? = (250 x 100)/50 = 500
=> (50 x ?)/100 = 250
=> ? = (250 x 100)/50 = 500
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