Question:

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:

Updated On: Aug 9, 2024
  • only I is sufficient, but II is not.
  • even taking I and II together is not sufficient.
  • it is necessary and sufficient to take I and II together.
  • only II is sufficient, but I is not.
  • either of I and II, by itself, is sufficient.
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The Correct Option is C

Solution and Explanation

The correct answer is option (C):it is necessary and sufficient to take I and II together.
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