• 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

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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
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
A
1
B
0.1
C
0.01
D
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
$45+5\times 0.5=?$
A
45
B
47.25
C
47.5
D
41.5
Question 4 Explanation: 
$\begin{align} & 45+5\times 0.5=? \\ & \Rightarrow 45+2.5=? \\ & \Rightarrow ?=47.5 \\ \end{align}$
Question 5
$1864+423-?=1699$
A
518
B
608
C
588
D
618
Question 5 Explanation: 
$\begin{align} & 1864+423-?=1699 \\ & \Rightarrow 2287-?=1699 \\ & \Rightarrow ?=2287-1699=588 \\ \end{align}$
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