Basic Maths: Test 21

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 21

Please wait while the activity loads.
If this activity does not load, try refreshing your browser. Also, this page requires javascript. Please visit using a browser with javascript enabled.

If loading fails, click here to try again

Question 1

Find the value of

$\displaystyle \frac{1}{1+\frac{1}{1-\frac{1}{2}}}\times \frac{1}{\frac{5}{6}\,\,of\,\frac{3}{2}\div \,1\frac{1}{4}\,}$

A	1/2
B	1/7
C	1/6
D	1/3

Question 1 Explanation:

The equation can be simplified as

$\displaystyle \begin{array}{l}\frac{1}{1+\frac{1}{\frac{1}{2}}}\times \frac{1}{\left( \frac{5}{6}\,\times \frac{3}{2} \right)\div \,\frac{5}{4}\,}\\=\frac{1}{1+2}\times \frac{1}{\frac{5}{4}\div \frac{5}{4}}\\=\frac{1}{3}\times \frac{1}{\frac{5}{4}\times \frac{4}{5}}\\=\frac{1}{3}\end{array}$
So the answer for the question is d

Question 2

$\displaystyle \frac{1}{2+\frac{2}{3+\frac{2}{3+\frac{2}{3}}}\times 0.78}$ is simplified to

A	7/3
B	100/11
C	111/100
D	None of these

Question 2 Explanation:

$\displaystyle \begin{array}{l}\frac{1}{2+\frac{2}{3+\frac{2}{\frac{11}{3}}}\times 0.78}\\=\frac{1}{2+\frac{2}{3+\frac{6}{11}}\times 0.78}\\=\frac{1}{2+\frac{2}{\frac{33+6}{11}}\times 0.78}\\=\frac{1}{\begin{array}{l}2+\frac{11\times 2}{39}\times 0.78\\=\frac{1}{2+\frac{11\times 2}{39}\times \frac{78}{100}}\end{array}}\\=\frac{1}{2+\frac{11}{25}}\\=25/61\end{array}$

Question 3

$\displaystyle 3+\frac{1}{1+\frac{1}{2}}$
is equal to

A	3/5
B	3/2
C	11/3
D	7/3

Question 3 Explanation:

The Expression can be solved like as

$\displaystyle 3+\frac{1}{1+\frac{1}{2}}$

$\displaystyle \begin{array}{l}=3+\frac{1}{\frac{2+1}{2}}\\=3+\frac{2}{3}\\=\frac{9+2}{3}\\=\frac{11}{3}\end{array}$

Question 4

The value of

$\displaystyle 5+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}}}$ is

A	134/21
B	132/23
C	143/21
D	118/21

Question 4 Explanation:

$\displaystyle \begin{array}{l}5+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{\frac{3+2}{3}}}}}\\\end{array}$

$\displaystyle \begin{array}{l}=5+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{3}{5}}}}\\=5+\frac{1}{1+\frac{1}{1+\frac{1}{\frac{5+3}{5}}}}\\=5+\frac{1}{1+\frac{1}{1+\frac{5}{8}}}\\=5+\frac{1}{1+\frac{1}{\frac{8+5}{8}}}\\=5+\frac{1}{1+\frac{8}{13}}=5+\frac{1}{\frac{13+8}{13}}\\=5+\frac{13}{21}=\frac{105+13}{21}=\frac{118}{21}\end{array}$

Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results

There are 4 questions to complete.

List

→

Return

Shaded items are complete.

End

Return