A sandwich shop offers a sandwich menu, a soup menu, and a salad menu.

 

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(1) indicates that the total number of combinations available when a customer chooses one item from any two of the three menus is 63. Assuming x represents the number of sandwiches, salads are then 2x (twice the number of sandwiches) and soups are 2x - 1 (one fewer than the number of salads). This can be broken down into the following combinations:

Adding these combinations gives:

By plugging in factors of 63 for x, we find that only x = 3 works (testing is only necessary up to 7, since already if x = 7, the product exceeds 63). Hence, the first statement is sufficient.

Similarly, (2) indicates that the total number of combinations available when a customer chooses one item from each of the three menus is 90. This implies that:

Again, by plugging in factors of 90 for x, we quickly find that x = 3 (similarly, testing only up to 5 is necessary, since already if x = 5, the product exceeds 90). Thus, the second statement is also sufficient.

Answer: D.

Hope it's clear.­