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Mathematical problems about beads
The answer is

1 = "Red

2 = blue

3 = "Yellow

4 = "White

5 = purple

1 2 3 4 5

Purple yellow

Blue red

Red and white

Blue and white

Yellow purple

Because only one person answered the first one, the first one must be red.

So the fifth white answer of C is wrong, so the fifth purple answer of E is right.

Purple is the fifth, so the third yellow that A answered is correct.

So the third blue answer given by D is wrong, so the fourth one is white. So the second one is blue.