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