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CAT 2022 Number System — Previous Year Question

Year

CAT 2022

Section

Quantitative

Topic

Number System

Difficulty

Hard

Question

Slot-1

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:

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

only II is sufficient, but I is not.

only I is sufficient, but II is not.

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

even taking I and II together is not sufficient.

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