XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

The best questions to practice for XAT Exam are the actual XAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In XAT 2022 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original XAT Question paper is the best place to start off your XAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

Question 9 : 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:

Video Explanation

Explanatory Answer

Nadeem's age is a two-digit number X, squaring which yields a three-digit number, whose last digit is Y.
Let us take the statement I:
The possible numbers which satisfying statement(I) is 225(\(15^{2}\)) and 625 (\(25^{2}\))
So we have two possible outcomes. Hence statement (I) alone is not sufficient
Now let us take statement II:
The possible numbers which satisfy statement(II) are
144(\(12^{2}\)) , 225(\(15^{2}\)) , 729 (\(\left.27^{2}\right)\)
So we have three possible outcomes. Hence statement (II) alone is not sufficient.
But by using I & II we can get only one solution which is 15.
Therefore, both statements I & II are required to answer the question.

The answer is 'it is necessary and sufficient to take I and II together.'

Choice E is the correct answer.

Verbal Ability for CAT | CAT Reading Comprehension

Verbal Ability for CAT| CAT Para Jumble

Verbal Ability for CAT | CAT Sentence Elimination

Verbal Ability for CAT | CAT Paragraph Completion

Verbal Ability for CAT | CAT Critical Reasoning

Verbal Ability for CAT | CAT Word Usage

Verbal Ability for CAT| CAT Para Summary

Verbal Ability for CAT | CAT Text Completion

Verbal Ability for CAT | CAT Sentence Correction