Nadeem's Age Data Sufficiency

XAT 2022 · QADI · Medium · Data Sufficiency

Nadeem's age is a two-digit number X, squaring which yields a three-digit number, whose last digit is Y. Consider the statements below: Statement I: Y is a prime number Statement II: Y is one-third of X

To determine Nadeem's age uniquely:

  1. A.

    either of I and II, by itself, is sufficient.

  2. B.

    only II is sufficient, but I is not.

  3. C.

    only I is sufficient, but II is not.

  4. D.

    it is necessary and sufficient to take I and II together.

  5. E.

    even taking I and II together is not sufficient.

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