When a positive integer 'x' is divided by a divisor 'd', the remainder is 24. What is d?
So, the equation is x = p*d +24, where p= integer and d >24.
Stat1: When 2x is divided by d, the remainder is 23.
Now, 2x = q*d +23, let's draw from given equation, 2x = 2*(p*d +24) = r*d + 48, where r= integer
Solving equations, (q-r)*d = 48-23 = 25, as d >24, so we can say, d = 25.
SufficientStat2: When 3x is divided by d, the remainder is 22.
Now, 3x = q*d +22, given equation, 3x = 3*(p*d +24) = m*d + 72, where m= integer
Solving equations, (q-m)*d = 72-22 = 50, as d >24, so we can say, d = 25 or 50.
Not SufficientSo, I think A.