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If \(a\) and \(b\) are two-digit positive integers greater than \(10,\) is the remainder when \(a\) is divided by \(11\) less than the remainder when \(b\) is divided by \(11?\)
(1) The remainder when \(a\) is divided by \(69\) is the fifth power of a prime number.
(2) The remainder when \(b\) is divided by \(12\) is \(b.\)
Answer: D
Source: GMAT Club Tests
(1) The remainder when \(a\) is divided by \(69\) is the fifth power of a prime number.
(2) The remainder when \(b\) is divided by \(12\) is \(b.\)
Answer: D
Source: GMAT Club Tests
