Question:
What is the value of the two-digit number N? Statement I: The sum of the digits of N is 9. Statement II: N is equal to 45.
What is the value of the two-digit number N? Statement I: The sum of the digits of N is 9. Statement II: N is equal to 45.
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Which statement gives exactly one possible number?
Updated On: Jul 8, 2026
- Statement I alone is sufficient, but statement II alone is not sufficient.
- Statement II alone is sufficient, but statement I alone is not sufficient.
- Both statements together are sufficient, but neither statement alone is sufficient.
- Each statement alone is sufficient.
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The Correct Option is B
Solution and Explanation
Step 1: Test Statement I alone.
Digit sum 9 fits many numbers: 18, 27, 36, 45, 54, and so on. It does not fix N. Not sufficient.
Step 2: Test Statement II alone.
N = 45 directly gives the value. Sufficient.
Step 3: Conclude.
Statement II alone is sufficient, but statement I alone is not.
Digit sum 9 fits many numbers: 18, 27, 36, 45, 54, and so on. It does not fix N. Not sufficient.
Step 2: Test Statement II alone.
N = 45 directly gives the value. Sufficient.
Step 3: Conclude.
Statement II alone is sufficient, but statement I alone is not.
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