Question

In the given matrix which option will replace the question mark?

Options are:
A) 231 E
B) 153 Z
C) 178 Z
D) 160 V

- *Answer with proper explanation*
- Thanks in advance :D​

Answer 1

$\large\underline{\bf{Answer-}}$

$\red{\boxed{ \bf{ \:153Z \: \: }} }$

$\large\underline{\sf{Step \: step \: of \: calculations-}}$

Given figure is

$\begin{array}{|c|c|c|c} \hline \rm 976E&\rm 122H&\rm 8K \\ \hline\rm 854M&\rm 122P&\rm 7S\\ \hline\rm 459W&\rm &\rm 3C \rm \\ \hline \end{array}$

Now, we have to find the empty column.

Now, first we find the missing alphabet.

For first row,

$\rm \: E \: \: \red {F \: G} \: \: H$

$\rm \: H \: \: \red{I \: J \: } \: \: K$

That means, exactly two alphabets between the first two alphabets of corresponding elements of row.

For second row,

$\rm \: M \: \: \red{N \: O} \: \: P \: \: \red{ Q \: R } \: \: S$

So, we get the pattern for third row as

$\rm \: W \: \: \red{X \: Y} \: \bf{ \: Z} \: \: \rm \: \red{A \: B} \: \: C$

So, it means the Alphabet is Z

Now, we have to find the numeric number.

Let assume that the missing numeric number be x

So, we have a pattern, the numeric numbers of 2nd and 3rd column multiplied together, gives the numeric number of first column.

That is,

$\rm \: 122 \times 8 = 976$

$\rm \: 122 \times 7 = 854$

So,

$\rm \: x \times 3 = 459\rm\implies \:x = \dfrac{459}{3} = 153$

Hence,

$\rm\implies \:\begin{array}{|c|c|c|c} \hline \rm 976E&\rm 122H&\rm 8K \\ \hline\rm 854M&\rm 122P&\rm 7S\\ \hline\rm 459W&\rm \red{ 153Z}&\rm 3C \rm \\ \hline \end{array}$

Answer 2

Answer:

Answer−

153

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153Z

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�

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�

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�

�

�

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−

‾

Stepstepofcalculations−

Given figure is

976

E

122

H

8

K

854

M

122

P

7

S

459

W

3

C

976E

854M

459W

122H

122P

8K

7S

3C

Now, we have to find the empty column.

Now, first we find the missing alphabet.

For first row,

E

F

G

H

EFGH

H

I

J

K

HIJK

That means, exactly two alphabets between the first two alphabets of corresponding elements of row.

For second row,

M

N

O

P

Q

R

S

MNOPQRS

So, we get the pattern for third row as

W

X

Y

�

A

B

C

WXYZABC

So, it means the Alphabet is Z

Now, we have to find the numeric number.

Let assume that the missing numeric number be x

So, we have a pattern, the numeric numbers of 2nd and 3rd column multiplied together, gives the numeric number of first column.

That is,

122

×

8

=

976

122×8=976

122

×

7

=

854

122×7=854

So,

x

×

3

=

459

⟹

x

=

459

3

=

153

x×3=459⟹x=

3

459

=153

Hence,

⟹

976

E

122

H

8

K

854

M

122

P

7

S

459

W

153

Z

3

C

⟹

976E

854M

459W

122H

122P

153Z

8K

7S

3C