• 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 54

Congratulations - you have completed Basic Maths: Test 54.

You scored %%SCORE%% out of %%TOTAL%%.

Your performance has been rated as %%RATING%%


Your answers are highlighted below.
Question 1
${{\left( 2457\div 91 \right)}^{\frac{1}{3}}}+{{\left( \frac{12.5\times 100}{50} \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}}$
A
512
B
64
C
256
D
16
Question 1 Explanation:
$\begin{align} & {{\left( \frac{2457}{91} \right)}^{\frac{1}{3}}}+{{\left( 12.5\times 2 \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}} \\ & \Rightarrow {{\left( 27 \right)}^{\frac{1}{3}}}+{{\left( 25 \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}} \\ & \Rightarrow {{\left( {{3}^{3}} \right)}^{\frac{1}{3}}}+{{\left( {{5}^{2}} \right)}^{\frac{1}{2}}}={{\left( ? \right)}^{\frac{1}{3}}} \\ & \Rightarrow 3+5={{\left( ? \right)}^{\frac{1}{3}}} \\ & \Rightarrow {{\left( ? \right)}^{\frac{1}{3}}}=8={{\left( {{8}^{3}} \right)}^{\frac{1}{3}}} \\ & \Rightarrow ?={{8}^{3}}=512 \\ \end{align}$
Question 2
$\sqrt{{{12}^{2}}+32\div 2-{{\left( 5 \right)}^{2}}+154}={{\left( ? \right)}^{2}}$
A
18
B
$\sqrt{17}$
C
289
D
17
Question 2 Explanation:
$\begin{align} & {{?}^{2}}=\sqrt{{{12}^{2}}+32\times \frac{1}{2}-{{\left( 5 \right)}^{2}}+154} \\ & =\sqrt{144+16-25+154} \\ & =\sqrt{289}=17 \\ & \Rightarrow ?=\sqrt{17} \\ \end{align}$
Question 3
${{\left( 0.25 \right)}^{4}}\times {{\left( 0.125 \right)}^{4}}\div {{\left( 0.0625 \right)}^{4}}={{\left( 50\div 100 \right)}^{?+3}}$
A
3
B
1
C
4
D
7
Question 3 Explanation:
$\begin{align} & {{\left( {{\left( 0.5 \right)}^{2}} \right)}^{4}}\times {{\left( {{\left( 0.5 \right)}^{3}} \right)}^{4}}\div {{\left( {{\left( 0.5 \right)}^{4}} \right)}^{4}}={{\left( \frac{50}{100} \right)}^{?+3}} \\ & \Rightarrow {{0.5}^{8}}\times {{.5}^{12}}\div {{\left( 0.5 \right)}^{16}}={{\left( 0.5 \right)}^{?+3}} \\ & \Rightarrow {{\left( 0.5 \right)}^{8+12-16}}={{\left( 0.5 \right)}^{?+3}}={{\left( 0.5 \right)}^{4}} \\ & \Rightarrow ?+3=4\, \\ & \Rightarrow ?=4-3=1 \\ \end{align}$
Question 4
image-30
A
1/2
B
43/196
C
196/43
D
1
Question 4 Explanation:
image-31
Question 5
$\sqrt{\frac{0.049\times 0.576}{0.0036\times 7.84}}$ is equal to
A
1
B
1.1
C
10
D
1.11
Question 5 Explanation:
$\begin{align} & =\sqrt{\frac{0.049\times 0.576}{0.0036\times 7.84}} \\ & =\sqrt{\frac{49\times 576}{36\times 784}} \\ & =\frac{7\times 24}{6\times 28} \\ & =1 \\ \end{align}$
Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results
There are 5 questions to complete.
List
Return
Shaded items are complete.
12345
End
Return