Question: What is the two-digit number?
Statement I: The number is divisible by 9 and its tens digit is 3.
Statement II: The sum of the digits of the number is 9.

Choose the correct option:
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient
d) Neither statement alone nor together is sufficient

Question

Question: What is the two-digit number?
Statement I: The number is divisible by 9 and its tens digit is 3.
Statement II: The sum of the digits of the number is 9.

Choose the correct option:
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient
d) Neither statement alone nor together is sufficient

Accepted Answer

Statement I: The number is divisible by 9 and tens digit is 3. Two-digit multiples of 9 are: 18, 27, 36, 45, 54, 63, 72, 81, 90. With tens digit 3, only 36 qualifies. So Statement I alone gives a unique answer (36). Statement II: Sum of digits = 9. Possible two-digit numbers: 18, 27, 36, 45, 54, 63, 72, 81, 90. Multiple answers possible — not sufficient alone. Therefore, Statement I alone is sufficient.

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