Tag: maths

Questions Related to maths

$\displaystyle \frac {15}{45}\, =\, \displaystyle \frac {?}{9}$

  1. 15

  2. 9

  3. 5

  4. 3


Correct Option: D
Explanation:

$\displaystyle \frac {15}{45}\, =\, \displaystyle \frac {15\, \div\, 5}{45\, \div\, 5}\, =\, \displaystyle \frac {3}{9}$

Convert 0.225 in to form p/q

  1. $\displaystyle \frac{3}{10}$

  2. $\displaystyle \frac{9}{40}$

  3. $\displaystyle \frac{9}{50}$

  4. $\displaystyle \frac{9}{400}$


Correct Option: B
Explanation:

${.225}\Rightarrow \frac{225}{1000}=\frac{9}{40}$

$1.\bar{3}$ is equal to

  1. $\displaystyle\frac{3}{4}$

  2. $\displaystyle\frac{2}{3}$

  3. $\displaystyle\frac{4}{3}$

  4. $\displaystyle\frac{2}{5}$


Correct Option: C
Explanation:

$1.\bar{3}$
Let $1.3333...$ be $x$
$1.3333...=x$  {i}
$13.333...=10x$ {ii} [Multiplied by $10$]
                               
$        12  =9x$
$=>x=\frac{12}{9}$
$=>x=\frac{4}{3}$

The fraction form of 0.23 is

  1. $\displaystyle\frac{2.3}{10}$

  2. $\displaystyle\frac{23}{100}$

  3. $\displaystyle\frac{23}{90}$

  4. $\displaystyle\frac{7}{90}$


Correct Option: B
Explanation:

The fraction for of 0.23$ =\frac{23}{100}$
Hence $B$  is the answer

The rational form of $-25.6875$ is

  1. $\displaystyle-\frac{411}{16}$

  2. $\displaystyle-\frac{421}{16}$

  3. $\displaystyle-\frac{431}{16}$

  4. $\displaystyle-\frac{441}{16}$


Correct Option: A
Explanation:

Consider the given decimal number

$ \Rightarrow -25.6875 $

$ \Rightarrow -\dfrac{256875}{10000} $

$ \Rightarrow -\dfrac{51375}{2000} $

$ \Rightarrow -\dfrac{10275}{400} $

$ \Rightarrow -\dfrac{2055}{80} $

$ \Rightarrow -\dfrac{411}{16} $


Hence, this is the answer.

The lowest form of $\displaystyle \frac { 30 }{ 60 } $ is -

  1. $\displaystyle \frac { 1 }{ 2 } $

  2. $\displaystyle \frac { 6 }{ 12 } $

  3. $\displaystyle \frac { 15 }{ 30 } $

  4. $\displaystyle \frac { 10 }{ 20 } $


Correct Option: A
Explanation:

lowest form of 30/60 is

30/60=3/6=1/2

Decimal for $79\%$ is  ____ 

  1. $7.9$

  2. $0.79$

  3. $79.00$

  4. $1.79$


Correct Option: B
Explanation:

$79\% = 0.79$ in decimal form. Percent means 'per $100$'. 


So, $79\%$ means $79$ per $100$ or simply $\dfrac{79}{100}$.

If you divide $79$ by $100$, you'll get $0.79$ (a decimal number).

So option B is the correct answer.

$\displaystyle \frac { 20 }{ 25 } = \frac {?} {5} $

  1. $2$

  2. $5$

  3. $4$

  4. $6$


Correct Option: C
Explanation:

$\displaystyle \frac { 20 }{ 25 } =\frac { 20\div 5 }{ 25\div 5 } =\frac { 4 }{ 5 }  $

$\displaystyle \frac{68}{100} = $ ..............%

  1. 0.68

  2. 6.8

  3. 68

  4. 68.01


Correct Option: C
Explanation:

Here, we have to covert fraction in to percentage.

We know that, to covert number into percentage we have to multiply the given number by $100.$
$\Rightarrow$  $\dfrac{68}{100}\times 100=68\%$

$0.97$ is equal to .............$\%$

  1. $9.7$

  2. $9.71$

  3. $97$

  4. $0.97$


Correct Option: C
Explanation:
Multiply both numerator and denominator by $100$ in the given value to find the percentage value.

$\dfrac{0.97×100}{100}=\dfrac{97}{100}= 97\%$

So option C is the correct answer.