Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

Simplify : $\displaystyle \left [ 3\frac{1}{4}\div \left { 1\frac{1}{4}-\frac{1}{2}\left ( 2\frac{1}{2}-\frac{1}{4}-\frac{1}{6} \right ) \right } \right ]\div \left ( \frac{1}{2}of4\frac{1}{3} \right )$

  1. 18

  2. 36

  3. 39

  4. 78
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given exp.
$\displaystyle =\left [ \frac{13}{4}\div \left { \frac{5}{4}-\frac{1}{2}\left ( \frac{5}{2}-\frac{3\, \, \,2}{2} \right ) \right } \right ]\div \left ( \frac{1}{2}of\frac{13}{3} \right )$
$\displaystyle =\left [ \frac{13}{4}\div \left { \frac{5}{4}-\frac{1}{2}\left ( \frac{5}{2}-\frac{1}{12} \right ) \right } \right ]\div \frac{13}{6} $
$=\displaystyle \left [ \frac{13}{4}\div \left { \frac{5}{4}-\frac{1}{2}\times \frac{30-1}{12} \right } \right ]\div \frac{13}{6}$
$\displaystyle =\left [ \frac{13}{4}\div \left { \frac{5}{4}-\frac{29}{24} \right } \right ]\div \frac{13}{6}$
$\displaystyle =\left [ \frac{13}{4}\div \frac{30-29}{24} \right ]\div \frac{13}{6}$
$\displaystyle =\left ( \frac{13}{4} \div \frac{1}{24}\right )\div \frac{13}{4}=\frac{13}{4}\times 24\times \frac{6}{13}=36$

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

If $2805\,\div\, 2.55\, =\, 1100\,, then\, 280.5\,\div\,25.5\, =\,$ .............

  1. 1.1

  2. 1.01

  3. 0.11

  4. 11
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\displaystyle\frac{280.5}{25.5}\,=\, \frac{280.5}{25.5}\,\times\, \frac{10}{10}\,\times\, \frac{10}{10}$

$=\,\displaystyle\frac{2805}{2.55}\,\times\,\frac{1}{100}$

$=\,\displaystyle\frac{1100}{100}\,=\, 11$

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

If $\sqrt{5}=2.236$ and $\sqrt{10}=3.162$, the value of $\displaystyle\frac{\sqrt{10}-\sqrt{5}}{\sqrt{2}}$ on simplifying is

  1. 0.455

  2. 0.855

  3. 0.655

  4. 0.755
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

values of $\sqrt { 5 } $ and $\sqrt { 10 } $ are given.

as per problem,
$\frac { \sqrt { 10 } -\sqrt { 5 }  }{ \sqrt { 2 }  } $
$\frac { 3.162-2.236 }{ 1.414 } $(value of $\sqrt { 2 } $ is1.414)
$\frac { 0.926 }{ 1.414 } $
$0.655$

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

The value of $\displaystyle\frac{1}{\sqrt{3}+\sqrt{2}-1}$ on simplifying upto 3 decimal places, given that $\sqrt{2}=1.4142$ and $\sqrt{6}=2.4495$ is

  1. 0.166

  2. 0.366

  3. 0.466

  4. 0.566
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } -1 } $
$=\frac { \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  }{ \left( \sqrt { 3 } +\left( \sqrt { 2 } -1 \right)  \right) \left( \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  \right)  } Multiplying\sqrt { 3 } -\left( \sqrt { 2 } -1 \right) \quad with\quad numerator\quad and\quad denominator\quad $
$=\frac { \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  }{ 3-{ \left( \sqrt { 2 } -1 \right)  }^{ 2 } } $
 $=\frac { \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  }{ 3-{ \left( 2+1-2\sqrt { 2 }  \right)  } } $
 $=\frac { \sqrt { 3\quad  } -\sqrt { 2 } +1 }{ 2\sqrt { 2 }  } $
$=\frac { 1.732-1.4142+1 }{ 2.8284 } =0.466$
                                               $(\sqrt { 3 } =\frac { \sqrt { 6 }  }{ \sqrt { 2 }  } =\frac { 2.4495 }{ 1.4142 } =1.732)$

Multiple choice maths fractions dividing fractions division of a fractions division of a fraction

Place value chart is extended on .............. side to provide place for fractions

  1. right

  2. left

  3. no

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

That is the role of the decimal point. The decimal point separates the place values that are whole values on the left from the place values that are fractional parts on the right.

So option A is the correct answer.

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

If $\displaystyle 2805\div 2.55=1100$ then $\displaystyle 280.5\div 25.5=$ _______

  1. 1.1

  2. 1.01

  3. 0.11

  4. 11
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\displaystyle \frac{280.5}{25.5}=\frac{280.5}{25.5}\times \frac{10}{10}\times \frac{10}{10}$

$\displaystyle =\frac{2805}{2.55}\times \frac{1}{100}$

$\displaystyle =\frac{1100}{100}=11$

Multiple choice maths fractions dividing fractions division of a fractions division of a fraction

The fraction $\displaystyle \frac{9}{4}$ can be written as

  1. $\displaystyle \dfrac{\dfrac{9}{2}}{\dfrac{4}{2}}$
  2. $\displaystyle \dfrac{\dfrac{9}{4}}{1}$
  3. $\displaystyle \dfrac{\dfrac{9}{5}}{\dfrac{4}{5}}$
  4. $\displaystyle \dfrac{\dfrac{7}{6}}{\dfrac{9}{4}}$
Reveal answer Fill a bubble to check yourself
A,B,C Correct answer
Explanation
$ \dfrac{\dfrac{9}{2}}{\dfrac{4}{2}} = \dfrac{9}{2} \div \dfrac 42 =\dfrac 92 \times \dfrac 24  = \dfrac 94$

$ \dfrac{\dfrac{9}{4}}{1} = \dfrac{9}{4} \div 1 = \dfrac 92 \times 1 = \dfrac 94$

$ \dfrac{\dfrac{9}{5}}{\dfrac{4}{5}} = \dfrac{9}{5} \div \dfrac 45 =\dfrac 95 \times \dfrac 45  = \dfrac 94$

So, options $A, B$ and $C$ are correct.