🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


🎉Effortlessly calculate your score with the 2IIM Score Calculator!🎉

XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

XAT Previous Year Paper | XAT QADI Questions | Question 10

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 10 : Wilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one integer and writes it on a wall. The writing on the wall shows that Xavier and Zakir picked positive integers, Yaska picked a negative one, while Wilma's integer is either negative, zero or positive. If their integers are denoted by the first letters of their respective names, the following is true:



Given the above, which of these can possibly evaluate to?

  1. 0
  2. 9
  3. 6
  4. 4
  5. 1

🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!


2IIM : Best Online CAT Coaching.

🎉Effortlessly calculate your score with the 2IIM Score Calculator!🎉


2IIM : Best Online CAT Coaching.


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!


Explanatory Answer

Inequalities equations
W4 + X3 + Y2 + Z ≤ 4
We can isolate the terms as W4 + Y2+ X3 + Z ≤ 4
From here we can see that the equalities [2] and [3] together make up [1]

From inequation [2],
Z can be 1 or 2 and X can be 0 or 1



W
X
Y
Z
-
1
-
1
-
0
-
2

From inequation [3],
Y can only be -1 as Y is negative and thus cannot be 0 or lesser than -1 or the inequality wouldn't be satisfied. W can be -1 or 1 and
W
X
Y
Z
-1
1
-1
1
-1
0
-1
2
1
1
-1
1
1
0
-1
2
From inequality [4] we can rule out the possibilities 1 and 3 as Y3 + Z is not greater than 3 in these possibilities.
So we are left with,


W
X
Y
Z
±1
0
-1
2

From here we can calculate the value of W2 + X2 + Y2 + Z2
= 6


The answer is '6'

Choice C is the correct answer.

CAT Questions | CAT Quantitative Aptitude

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com