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*9). AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?**(A) 1**(B) 3**(C) 7**(D) 9**(E) Cannot be determined*

*Answer - D**Explanation -- AB + CD = AAA**AB and CD are two digit numbers, hence AAA must be 111 **Therefore 1B + CD = 111**B can assume any value between 3 and 9**If B = 3, then CD = 111-13 = 98 and C = 9**If B = 9, then CD = 111-19 = 92 and C = 9**Hence for all values of B between 3 & 9 ---- C = 9**Thus the answer is D i.e (C = 9)*
*The Power of Absolutes**If a and b are integers and a is not equal to b, is ab > 0? **(1) a^b > 0 **(2) a^b is a non-zero integer**(A) Statement (1) ALONE is sufficient to answer the question, but statement (2) alone is not. **(B) Statement (2) ALONE is sufficient to answer the question, but statement (1) alone is not. **(C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. **(D) EACH statement ALONE is sufficient to answer the question. **(E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question.*