Question

6. How many even prime numbers are there in the set of natural numbers?​

Answer 1

Answer:

Answer :

$\large{ \boxed{ \rm{ \pmb{ \pink{x = 11}}}}}$

$\boxed{ \bf{ \underline{7 : \pink{11} : : 35 : 55 }}}$

Step-by-step explanation :

• In this question, we are provided with the proportion $\bf 7 : x : : 35 : 55$ and we have to find the value of x.

• So, for calculating the value of x, we will apply this method,

$\boxed{ \tt{ \underline{Product \: of \: means = Product \: of \: extremes }}}$

• And lastly we will calculate the value of x.

Given :

$\tt 7 : x : : 35 : 55$

To Find :

The value of x.

Options given :

5

6

13

11 $\checkmark$

Calculations :

We know that,

$\boxed{ \tt{ \underline{Product \: of \: extremes = Product \: of \: means }}}$

Putting the values,

$\mapsto \sf \dfrac{7}{x} = \dfrac{35}{55}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\mapsto \sf x = \dfrac{55 \times 7}{35}$

On multiplying the numbers [55 × 7]

$\mapsto \sf x = \dfrac{385}{35}$

Performing division,

$\mapsto \sf x = \cancel \dfrac{385}{35}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\mapsto \boxed{ \rm{ \pmb{ \red{ x = 11}}}}$

Therefore,

The value of x is 11.