Question
Quantitative Ability and Data Interpretation Question on Logical and Analytical Reasoning Skills
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:
A
only I is sufficient, but II is not.
B
even taking I and II together is not sufficient.
C
it is necessary and sufficient to take I and II together.
D
only II is sufficient, but I is not.
E
either of I and II, by itself, is sufficient.
Answer
it is necessary and sufficient to take I and II together.
Explanation
Solution
The correct answer is option (C):it is necessary and sufficient to take I and II together.