• 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 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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