There are two baskets, each containing an equal number of apples. When the apples from one basket are distributed to each student in classes A and B, 3 apples remain in that basket. When the apples from the other basket are distributed to each student in class B, there are not enough apples, so 2 students do not receive apples. Accordingly I. Each basket contains an odd number of apples. II. The difference between the number of students in these two classes is an odd number. III. The product of the number of students in these two classes is an even number. Which of the following statements are definitely true? A) Only I B) Only III C) I and II D) II and III E) I, II and III
There are two baskets, each containing an equal number of apples. When the apples from one basket are distributed to each student in classes A and B, 3 apples remain in that basket. When the apples from the other basket are distributed to each student in class B, there are not enough apples, so 2 students do not receive apples.
Accordingly
I. Each basket contains an odd number of apples.
II. The difference between the number of students in these two classes is an odd number.
III. The product of the number of students in these two classes is an even number.
Which of the following statements are definitely true?
A) Only I
B) Only III
C) I and II
D) II and III
E) I, II and III