TCS Company Numerical Ability Arithmetic

sum of digits of a two digit number is 12.on adding 5 to the number then the new number form has units and ten's digit equal, then find the number?

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TCS Other Question

if we consider the permutation of 7 numbersthe what is the order of (1457)(236) In this question, A^B means A raised to the power B. What is the largest positive integer n for which 8^n divides 44^44?
option
a) 44
b) 29
c) 22
d) 8