Sample CAT Quantitative Questions

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Sample CAT Quantitative Questions- Directions for next 3 CAT Quantitative Questions: Answer these cat quantitative questions based on the information given below.
S = {a, b, c, d, e}. A binary operation * is defined by the following table, which had been partially filled up.

For all x, y belonging to S, x * y = y * x. The operation * is so defined that every x belonging to S occurs exactly once in each row and each column of the table.

1. If a * b = e and a * a = d, what is the value of c * d?
a. a
b. b
c. c
d. e

2. If a * a = b and b * b = c, what is the value of c * d?
a. a
b. b
c. c
d. e

3. If a * b = d and c * d = b, then d * d =
a. c
b. a
c. d
d. b

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