Inequalities & ModulusXAT Previous-Year Questions

4 previous-year questions on Inequalities & Modulus from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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4 questions

Inequalities & Modulus · XAT PYQs

XAT 2023 · QA & DI
Q1.

Given A = |x + 3| + |x - 2| - |2x - 8|. The maximum value of |A| is:

XAT 2018 · QA & DI
Q2.

If 2 ≤ |x – 1|×|y + 3| ≤ 5 and both x and y are negative integers, find the number of possible combinations of x and y.

XAT 2016 · QA & DI
Q3.

a, b, c are integers, |a| ≠ |b| ≠ |c| and –10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a + b + c)]?

XAT 2015 · QA & DI
Q4.

If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c + d))/((a + b) + (c – d)) would be: