Buckets and Apples Analytical Question

Select the third bucket. If it contains apples, that means second bucket has mixed fruits and first one has oranges.

Similarly if the third bucket contains oranges, that means second contains apple and first contains mixed fruits.

Take out a fruit from bucket 2, if that is an orange then go to bucket 1 if that is an apple then go to bucket 3 and if that also gives you an apple then the point to note here is the labeling which is incorrect on all the buckets is the key to figure out right fruits there in each of the buckets. If the label on bucket 2 says "Mixed" then that is incorrect and it needs a label as "Oranges". Check the label on bucket 1, if that says "Apple" then that is "Mixed" and indeed bucket 3 would be "Apples" which would have the label as "Orange".

Take fruit from the basket labeled mixed fruits. since all the baskets are labeled incorrectly, this basket is for sure not mixed fruit.
if you find apple, this basket contains apple, just interchange the label of others (basket with orange label has mixed fruit and one with apple label has oranges and the mixed fruit labeled basket is anyway apple)

similarly, if you find orange ,this basket has orange. Other baskets has fruits as per above method.