Question

2197:961::3375:?
Find out the reason

Answer 1

2601

Step-by-step explanation:

13×13×13=2197,after reversing it is 31 then square,like that 51 square is answer

Answer 2

Concept:

This question requires the knowledge of logical relations of mathematics.

Logical relation is a relation in which a proposition is related  to the other,in reasoning and we need to find the same relation in the next proposition which has a missing value.

To find:

The missing term of the relation 2197:961::3375:?

Solution:

2197= 13×13×13

       = $13^{3}$

On reversing the digits of 13 we get the number 31

then squaring 31

i.e. $31^{2}$=961

We will follow the same steps to find the missing term of next given relation .

3375=15×15×15

       =$15^{3}$

On reversing the digits of 15 we get the number 51

then squaring 51, we get the missing term

i.e. $51^{2}$=2601

Hence, the missing term is 2601.