The correct answer is - True.
One minute ('), in geography, contains sixty seconds (''), and one degree (°) contains sixty minutes (').
So in this situation, the 60'' actually represent 1', thus making the 59' into 60', and since 60' make 1°, than the 24° turn into 25°, thus the statement is true.
1° = 60'
1' = 60''
59' + 1' = 60'
24° + 1° = 25°