Question

the number which replace ❓(question mark) in the following pattern is

Answer 1

Answer:

144

Step-by-step explanation:

Concept= Mathematical Aptitude

Given= Pictographic Representation/ Pattern

To find= The missing number/Replace question mark

Explanation=

In this Patter first of all determine the values/position of G,K,M,P in the alphabet system.

we get, G=7 , K=11 , M=13 and P=16

Now we see every circle in hexagon is connected with the the center circle that is 5. The logic behind this is = squaring the alphabet's position and subtracting the preceding number we get multiple of five as

=> $k^{2} - 96$ = $11^{2}$ -96 = 121-96 =25, 25 is multiple of 5

Now lets see the pattern,

G=>  $7^{2}$-24= 49-24= 25

P=> $16^{2}$ - 231 = 256-231= 25

Since we observe 25 is the only multiple of 5 occurring here after subtraction in case of M we proceed as

=> $M^{2}$ -x =25

=> 169-x=25

=> x= 144.

Therefore, the question mark will be replaced by 144.

#SPJ2