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# Simplification Aptitude Questions

Quantitative Aptitude Questions and Answers section on “Simplification” with solution and explanation for competitive examinations such as CAT, MBA, SSC, Bank PO, Bank Clerical and other examinations.

1.

Simplify : $6010-6000\div 10$
[A]1
[B]5400
[C]0
[D]5410

5410
Given expression –
$6010-6000\times \frac{1}{10}$
$=>6010-600=5410$
Hence option [D] is the right answer.

2.

Simplify: $18800\div 470\div 20$
[A]800
[B]2
[C]23.5
[D]None of these

2
Given expression :
$\frac{18800}{470}\div 20$
$=>40\div 20=\frac{40}{20}=2$
So the correct option is [B].

3.

If a*b = $\left ( a^{2}+b^{2}-ab \right )$, Then 6*9 =
[A]66
[B]63
[C]64
[D]62

63
$\because 6*9=\left ( 6^{2}+9^{2}-6\times 9 \right )$
$=>(36+81-54)=63$
Hence option [B] is the right answer.

4.

$5-\left [ 4-\left \{ 3-(3-3-6) \right \} \right ]$ is equal to :
[A]0
[B]4
[C]6
[D]10

10
$Given,5-\left [ 4-\left \{ 3-(3-3-6) \right \} \right ]$
$= 5-\left [ 4-\left \{ 3-\left ( -6 \right ) \right \} \right ]$
$= 5-\left [ 4-\left \{ 3+6 \right \} \right ]$
$= 5-\left [ 4-9 \right ]$
$= 5+5 = 10$
Hence option [D] is right answer.

5.

Evaluate :
$\frac{9|3-5|-5|4|\div 10}{-3(5)-2\times 4\div 2}$
[A]$\frac{4}{7}$
[B]$-\frac{16}{19}$
[C]$-\frac{8}{17}$
[D]$\frac{9}{10}$

$\mathbf{-\frac{16}{19}}$
$= \frac{9|3-5|-5|4|\div 10}{-3(5)-2\times 4\div 2}$
$= \frac{9\times 2 - 5\times 4\div 10}{-15-8\div 2}$
$= \frac{18-2}{-19} = -\frac{16}{19}$
Hence option [B] is right answer.

6.

Evaluate :
$\frac{-(4-6)^{2}-3(-2)+|-6|}{18-9\div 3\times 5}$
[A]$\frac{7}{4}$
[B]$\frac{3}{8}$
[C]$\frac{8}{3}$
[D]$\frac{4}{7}$

$\mathbf{\frac{8}{3}}$
Given Expression,
$= \frac{-(4-6)^{2}-3(-2)+|-6|}{18-9\div 3\times 5}$
$= \frac{-(-2)^{2}+6+6}{18-15}$
$= \frac{-4+12}{3} = \frac{8}{3}$
Hence option [C] is right answer.

7.

Simplify
$\frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}}$ :
[A]$\frac{5}{16}$
[B]$\frac{7}{18}$
[C]$\frac{8}{19}$
[D]$\frac{9}{16}$

$\mathbf{\frac{8}{19}}$Given Expression :
$\frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}}$
$=>\frac{1}{2+\frac{1}{2+\frac{2}{3}}}$
$=> \frac{1}{2+\frac{3}{8}}$
$=>\frac{8}{19}$
Hence option [c] is the right answer.

8.

The Simplification of
$\frac{5}{3+\frac{3}{1-\frac{2}{3}}}$ gives:
[A]$\frac{5}{12}$
[B]5
[C]$\frac{5}{3}$
[D]$\frac{3}{5}$

$\mathbf{\frac{5}{12}}$
Given Expression,
$\frac{5}{3+\frac{3}{\frac{3-2}{3}}}$
$=>\frac{5}{3+\frac{3}{\frac{1}{3}}}$
$=>\frac{5}{3+3\times 3}$
$=>\frac{5}{3+9}$
$=>\frac{5}{12}$
Hence option [A] is the right answer.

9.

The value of
$\frac{1}{3+\frac{1}{2-\frac{1}{\frac{7}{9}}}}+\frac{17}{22}$ is :
[A]$\frac{12}{22}$
[B]$\frac{22}{5}$
[C]1
[D]$\frac{5}{22}$

1
Given Expression,
$\frac{1}{3+\frac{1}{2-\frac{1}{\frac{7}{9}}}}+\frac{17}{22}$
$=>\frac{1}{3+\frac{1}{2-\frac{9}{7}}}+\frac{17}{22}$
$=>\frac{1}{3+\frac{1}{\frac{14-9}{7}}}+\frac{17}{22}$
$=>\frac{1}{3+\frac{1}{\frac{5}{7}}}+\frac{17}{22}=\frac{1}{3+\frac{7}{5}}+\frac{17}{22}$
$=>\frac{1}{\frac{15+7}{5}}+\frac{17}{22}$
$=>\frac{5}{22}+\frac{17}{2}=\frac{22}{22}=1$
Hence option [C] is the right answer.

10.

Find the value of
$\frac{2}{1+\frac{1}{1-\frac{1}{2}}}\times \frac{3}{\frac{5}{6}of\frac{3}{2}of\div 1\frac{1}{4}} :$
[A]4
[B]2
[C]8
[D]6

2
Given Expression,
$\frac{2}{1+\frac{1}{\frac{1}{2}}}\times \frac{3}{\left [ \frac{5}{6}\times \frac{3}{2} \right ]\div \frac{5}{4}}$
$=>\frac{2}{1+2}\times\frac{3}{\frac{5}{4}\div \frac{5}{4}}$
$=>\frac{2}{3}\times \frac{3}{\frac{5}{4}\times \frac{4}{5}}$
$=>\frac{2}{3}\times 3=2$
Hence option [B] is the right answer.