Practice30Create account

What is the two-digit number? Statement I: The sum of its two digits is 9. Statement II: The number is 27 more than the number formed by reversing its digits.

Competition practiceData Sufficiency
  • ABoth statements together are needed (neither alone is sufficient)
  • BEither statement alone is sufficient
  • CStatement I alone is sufficient but Statement II alone is not
  • DStatement II alone is sufficient but Statement I alone is not

Step-by-Step Solution

I alone gives many pairs (18, 27, 36...). II alone gives 9(tens-units)=27, so tens-units=3, still many. Together: sum 9 and difference 3 give tens 6, units 3, i.e. 63 uniquely.
Answer: A) Both statements together are needed (neither alone is sufficient)

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Data Sufficiency practice questions

More Data Sufficiency practice

How is P related to Q? Statement I: P is the brother of R, who is the son of Q.…On which day of the week did Rahul reach the city? Statement I: Rahul reached two days…In a code language, what is the code for the word 'money'? Statement I: In that language…What is the value of the whole number x? Statement I: x is a prime number lying between…Is the positive integer x an even number? Statement I: x is divisible by 3. Statement…