Question

Find the missing number, if same rule is followed in
all the three figures.
​

Answer 1

The required option "B. 46 is correct".

Step-by-step explanation:

The missing number(?) =

The patter follow,

${\space}\dfrac{The sum of the square of outside numbers}{5} =Inside number$

In figure 1,

$13=\dfrac{5^{2}+6^{2}+2^{2} }{5} =\dfrac{25+36+4}{5} =\dfrac{65}{5} =13$

In figure 3,

$21=\dfrac{5^{2}+8^{2}+4^{2} }{5} =\dfrac{25+64+16}{5} =\dfrac{105}{5} =21$

Similarly,

In figure 2,

$?=\dfrac{9^{2}+7^{2}+10^{2} }{5} =\dfrac{81+49+100}{5} =\dfrac{230}{5} =46$

∴ The missing number = 46

Hence, the required option B. 46 is correct.