Practice30Create account

What is the two-digit number? Statement I: The number is a perfect square. Statement II: The number is even and the sum of its digits is 9. Which statement(s) are sufficient to answer?

Competition practiceData Sufficiency
  • AEither statement alone is sufficient
  • BStatement I alone is sufficient but Statement II alone is not
  • CStatement II alone is sufficient but Statement I alone is not
  • DBoth statements together are needed (neither alone is sufficient)

Step-by-Step Solution

Each statement alone leaves several candidates. Among two-digit perfect squares, the only even one with digit sum 9 is 36, so both are needed.
Answer: D) 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

What is the two-digit number? Statement I: The number is divisible by both 7 and 4.…What is Meena's present age? Statement I: Meena's age ten years from now will be twice…How is Deepak related to Anil? Statement I: Deepak is the son of Anil's brother.…How is P related to Q? Statement I: Q is the mother of P. Statement II: P is the…How is A related to C? Statement I: A is married to D, and D is the mother of B.…