Question

Find missing
value
21 16 23 7 ?4 784 441 729

Answer 1

We have:

21    16      23

7      ?       4

784  441   729

We have to find the value of missing number (?).

Solution:

The pattern follow(Column-wise):

$(C_{1} +C_{2})^2=C_{3}$

First column:

$(21+7)^2=784$

⇒ $28^2=784$

⇒ 784 = 784

Second column:

$(16+?)^2=441$

⇒ $(16+?)^2=21^2$

⇒ 16 + ? = 21

⇒ ? = 21 - 16 = 5

Third column:

$(23+4)^2=729$

⇒ $27^2=729$

⇒ 729 = 729

∴ Missing number (?) = 5

Thus, the value of "missing number (?) is 5".

Answer 2

Given  :  

21        16      23

7           ?         4

784     441    729

To Find : Missing Number

Solution:

21        16      23

7           ?         4

784     441    729

Breaking it column wise

21

7

784    

784 = 28²

21 + 7  = 28

23

4

729    

729 = 27²

23 +4  = 27

in a column  ( Row 1 + Row 2)² = Row 3

(R1 + R2)² = R3

16

?

441    

441 = 21²

16 + ?   = 21

=> ?   = 5

21        16      23

7           5         4

784     441    729

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