A number 277XY5 (where X, Y are digits) is divisible by 25.<br>Question: What is the value of X?<br>Statement I: The given number is divisible by 9.<br>Statement II: X \gt 5.

For the next ten (10) items that follow:<br>Each item contains a Question followed by two Statements. Answer each item using the following instructions:

  1. A. Choose this option if the Question can be answered by one of the Statements alone but not by the other.
  2. B. Choose this option if the Question can be answered by either Statement alone.
  3. C. Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone. ✓
  4. D. Choose this option if the Question cannot be answered even by using both Statements together.

Correct Answer: C. Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.

Explanation

For 277XY5 to be divisible by 25, Y must be 2 or 7. Statement I (divisible by 9) gives sum 21+X+Y = 9k. If Y=2, X=4. If Y=7, X=8. Not unique. Statement II (X \gt 5) alone isn't enough. Both together mean X=8 and Y=7. Thus, both statements are required.

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