Tag: maths

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Questions Related to maths

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

Mark the correct alternative of the following.
If A, B, C divide Rs. $1200$ in the ratio $2 : 3 : 5$, then B's share is?

  1. Rs. $240$
  2. Rs. $600$
  3. Rs. $380$
  4. Rs. $360$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Since they divide Rs. $1200$ in the ratio $2:3:5$ then let shares of them will be $2x,3x$ and $5x$.

Then according to the problem we get,
$2x+3x+5x=1200$
or, $x=120$.
So share of B is Rs. $120\times 3=360$.

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

Mark the correct alternative of the following.
If $343$ is the third proportional of $a$ and $b,$ where $a : b=1 : 7$, then the values of $a+b$ is?

  1. $14$
  2. $24$
  3. $56$
  4. $63$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$a : b = b : 343$


$\dfrac{a}{b} = \dfrac{b}{343}$


$\dfrac{1}{7} = \dfrac{b}{343}$

$b = \dfrac{343}{7}$

$b = 49$

$\dfrac{a}{b} = \dfrac{1}{7}$

$\dfrac{a}{49} = \dfrac{1}{7}$

$a = \dfrac{49}{7} = 7$

$a + b = 49 + 7 = 56$

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

If the first three terms of a proportion are $3,5$ and $21$ respectively, then its fourth term is

  1. $21$
  2. $35$
  3. $15$

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

Given, the first three terms of a proportion are $3,5$ and $21$ respectively.

Let the fourth number be $'x'$,

So, Numbers proportion are $3, 5, 21, x$

According to proportionality,

Product of means $=$ Product of extremes

$3 : 5 :: 21 : x$

$\dfrac{3}{5} = \dfrac{21}{x}$

Cross multiply,

$3 \times x = 21 \times 5$

$3x = 105$

$x = 35$

Therefore, The required fourth number is $35$