there is one 4 - digit whole number n , such that the last 4 digits of n 2 are in fact the original number n Choose the correct choice from the following options:
A) 8476  B) 7376  C) 9376  D) 7378  E) 9466

Rationale: c 9376 looking at the last digit , the last digit must be either 0 , 1 , 5 or 6 . then looking at the last two digits , the last two digits must be either 0001 , 25 or 76 . then looking at the last three digits , the last three digits must be either 00001 , 625 or 376 . then looking at the last four digits , the last four digits must be either 0000001 , 0625 or 9376 . out of those , only 9376 is a 4 digit number
Answer: C