Tag: maths

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Questions Related to maths

Multiple choice maths calculating and mental strategies 3 written methods dividing decimals division of decimals

$54.327\times 357.2\times 0.0057$ is the same as.

  1. $5.4327\times 3.572\times 5.7$
  2. $5.4327\times 3.572\times 0.57$
  3. $54327\times 3572\times 0.0000057$
  4. $5432.7\times 3.572\times 0.000057$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Given expression is $54.327\times 357.2\times 0.0057$
$\Rightarrow$  Number of decimal places in the given expression = $8$
$\Rightarrow$   Number of decimal places in (A) = 8
$\Rightarrow$   Number of decimal places in (B) = 9 
$\Rightarrow$   Number of decimal places in (C)= 7
$\therefore$    The expression in $(A)$ is the same as the given Expression.

Multiple choice maths calculating and mental strategies 3 written methods dividing decimals division of decimals

Simplify $\left[\displaystyle\frac{(0.333)^3}{(0.111)^2}-\frac{(0.222)^4}{(0.111)^3}\right]$.

  1. $1.331$
  2. $1.221$
  3. $1.484$
  4. $1.551$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given, $[\dfrac{(0.333)^3}{(0.111)^2} - \dfrac{(0.222)^4}{(0.111)^3}]$
We can solve like 
= $[\dfrac{0.333 \times 0.333 \times 0.333}{0.111 \times 0.111} - \dfrac{0.222 \times 0.222 \times 0.222 \times 0.222}{0.111 \times 0.111 \times 0.111}]$
= ${3 \times 3 \times 0.333} - 2 \times  2 \times 2 \times 0.222$
= $2.997 - 1.776$
= $1.221$
Multiple choice maths calculating and mental strategies 3 written methods dividing decimals division of decimals

Find the product:
$\displaystyle 0.05\times 0.09\times 5$

  1. $0.025$
  2. $0.225$
  3. $0.005$
  4. $0.0225$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Multiply the numbers without decimal point
i.e. $5\times 9\times 5=225$
$0.05$ have decimal point after $2$ digits
$0.09$ have decimal point after $2$ digits
So, the product will have decimal point after $2+2=4$ digits
Thus, the product of $0.05\times 0.09 \times 5=0.0225$

Multiple choice maths ratio, proportion and unitary method more on proportion terms related to proportion proportion

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains $25$%. The percentage of water in the mixture is

  1. $4$%
  2. $6\frac { 1 }{ 4 } $%
  3. $20$%
  4. $25$%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

According to the question,

Let's assume milkman has $100$ liter of milk, If he added $x$ liter of water, the percentage of water in the mixture$=\dfrac {x}{(100+x)}\times 100$

The milk gain $25$%, he must have added $25$ liter water in $100$ liter of milk. Then the percentage of water in the mixture$=\dfrac {25}{(100+25)}\times 100=20\%$


In the new mixture, If the milk is $80$% then $80$% of total mixture should be $100$ liter
$(100+x)\times \dfrac{80}{100}=100$
$8x=200$
$x=25$

Then, the percentage of water in the mixture $=\dfrac {25}{(100+25)}\times 100=20\%$

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

If the area of a parallelogram is $144 \operatorname { cm } ^ { 2 }$ and its base is $9 cm$. then its height is 

  1. $8 cm$
  2. $12 cm$
  3. $24 cm$
  4. $16 cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Area of parallelogram $=base\times height$


$\Rightarrow$ $144{cm}^{2}=9cm\times 10cm$


$\Rightarrow$ $h$ in $cm=\cfrac{144{cm}^{2}}{9cm}$

$\therefore$ $h=16cm$

Hence height $=16cm$

Multiple choice maths perimeter and area of rectilinear figures parallelogram and rectangle area of parallelogram area of a parallelogram

Area of the parallelogram formed by the pairs of lines $x^{2}+xy-^{2}=0$ and $x^{2}+xy-y^{2}-3x-4y+1=0$ is

  1. $\sqrt {5}$
  2. $\dfrac {1}{\sqrt {5}}$
  3. $2\sqrt {5}$
  4. $\dfrac {2}{\sqrt {5}}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area of a parallelogram formed by two pairs of parallel lines is given by the formula |c1-c2|*|d1-d2| / |ab'-a'b|. Calculating this for the given equations yields 2*sqrt(5).