Basic Maths: Test 12

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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 12

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Question 1

$ \displaystyle 10-\left[ 4-\left\{ 3-\left( 3-3-6 \right) \right\} \right]$ is equal to:

A	15
B	16
C	14
D	10

Question 1 Explanation:

$ \displaystyle \begin{array}{l}p=10-\left[ 4-\left\{ 3-\left( 3-3-6 \right) \right\} \right]\\=10-\left[ 4-\left\{ 3-\left( -6 \right) \right\} \right]\\=10-\left[ 4-\left\{ 3+6 \right\} \right]\\=10-\left[ 4-9 \right]\\=10+5=15\end{array}$

Question 2

Evaluate:$ \displaystyle \frac{-{{\left( 4-6 \right)}^{2}}-3\left( -2 \right)+6}{17-9\div 3\times 5}$

A	$ \displaystyle \frac{3}{8}$
B	$ \displaystyle 7$
C	$ \displaystyle 4$
D	$ \displaystyle \frac{7}{4}$

Question 2 Explanation:

$ \displaystyle \begin{array}{l}?=\frac{-{{\left( -2 \right)}^{2}}+6+6}{17-15}\\=\frac{-4+12}{2}=\frac{8}{2}=4\end{array}$

Question 3

Simplify: $ \displaystyle \frac{\frac{5}{3}\times \frac{7}{51}of\,\frac{17}{5}-\frac{2}{3}}{\frac{2}{9}\times \frac{5}{7}of\,\frac{28}{5}-\frac{1}{3}}$

A	$ \displaystyle \frac{1}{2}$
B	$ \displaystyle 4$
C	$ \displaystyle \frac{1}{5}$
D	$ \displaystyle \frac{1}{4}$

Question 3 Explanation:

Question 4

$ \displaystyle 3-\left[ 5-\left\{ 2+\left( -5+6-2 \right)2 \right\} \right]$ is equal to

A	-4
B	2
C	0
D	-2

Question 4 Explanation:

$ \displaystyle \begin{array}{l}p=3-\left[ 5-\left\{ 2+\left( -1 \right)2 \right\} \right]\\=3\times \left[ 5-\left\{ 2-2 \right\} \right]\\=3-\left[ 5-0 \right]\\=3-5=-2\end{array}$

Question 5

On simplification 2134−(1002/20.04) is equal to: