题目

When 26 is divided by K, the remainder is K-2. K >= 2


Quantity A

Sum of all possible values of K

Quantity B

55

选项

A.

Quantity A is greater.

B.

Quantity B is greater.

C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.


解析

任意数 N 除以除数 x 可表示为: N = xQ + 余数 这里, 26 = KQ + (K - 2) 即 26 + 2 = K(Q + 1) K = 28/(Q+1) 当 Q = 0 时, K = 28 当 Q = 1 时, K = 14 当 Q = 3 时, K = 7 当 Q = 6 时, K = 4 当 Q = 13 时, K = 2 当 Q = 27 时, K = 1 A栏:所有可能的 K 值之和为56 B栏:55 因此,选A。
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