Question

Hi ......!

Which is The Right Answer For This Question Mark ? And Why
Explain .

1. 9
2. 4
3. 5
4. 6​

Answer 1

The concept behind the numbers is,

"The middle number in each row is one - third of the sum of all numbers in the same row."

In other words,

"The middle number in each row is half the sum of all other numbers in the same row."

In the first row, 3 is the middle number which is one - third of the sum of all  numbers in the row.  

$\longrightarrow\sf{3=\dfrac{4+3+2}{3}}$

In the second row, 5 is the middle number which is one - third of the sum of all numbers in the row.

$\longrightarrow\sf{5=\dfrac{5+3+5+1+1}{3}}$

In the third row, 8 is the middle number which is one - third of the sum of all numbers in the row.

$\longrightarrow\sf{8=\dfrac{6+1+2+8+3+3+1}{3}}$

In the fourth row, 8 is also the middle number which is one - third of the sum of all numbers in the row.

$\longrightarrow\sf{8=\dfrac{7+2+8+4+3}{3}}$

In the fifth row, let $\sf{x}$ be the middle number. Then we have,

$\longrightarrow\sf{\dfrac{9+x+3}{3}=x}$

$\longrightarrow\sf{12+x=3x}$

$\longrightarrow\sf{2x=12}$

$\longrightarrow\sf{\underline{\underline{x=6}}}$

Hence (4) 6 is the answer.

Answer 2

Explanation:

Given -

Figure

To Find -

Value of ?

Now,

As we see in the first line :-

• The sum of 4 + 2 is divided by 2 then the middle term 3 is obtained

It means,

» 4 + 2/2

» 6/2

» 3

Similarly

In second line :-

• The sum of 5 + 3 + 1 + 1 is divided by 2 then the middle term 5 is obtained

It means,

» 5 + 3 + 1 + 1/2

» 10/2

» 5

Similarly

In third line :-

• The sum of 6 + 1 + 2 + 3 + 3 + 1 is divided by 2 then the middle term 8 is obtained

It means,

» 6 + 1 + 2 + 3 + 3 + 1/2

» 16/2

» 8

Similarly,

In fourth line :-

• The sum of 7 + 2 + 4 + 3 is divided by 2 then the middle term 8 is obtained

It means,

» 7 + 2 + 4 + 3/2

» 16/2

» 8

Similarly,

In fifth line :-

• The sum of 9 + 3 is divided by 2 then the middle term ? is obtained

It means,

» 9 + 3/2

» 12/2

» 6

Hence,

The value of ? is 6