Question

122:170::290:?
What number should replace the question mark

Answer 1

It is really simple mathematical reasoning .
Let see ,
Given , 122 : 170 :: 290 : ?
You see , 122 = 11² + 1
170 = 13² + 1

Similarly 290 : ?
290 = 17² + 1
? = 19² + 1 = 361 +1 = 362

Hence , answer is 362 .
e.g., 122 : 170 : : 290 : 362

Answer 2

The number should replace the question mark is "362".

Step-by-step explanation:

We have,

122 : 170 : : 290 : ?

To find, the question mark =

The pattern follow:

$x^{2}+1:(x+2)^{2}+1.$

122 : 170 =$11^{2}+1:(11+2)^{2}+1=121+1:169+1=122:170$

Similarly,

$290 : ? =17^{2}+1:(17+2)^{2}+1=289+1:361+1=290:362$

Hence, the number should replace the question mark is "362".