Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 14
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)]?
Solution
|a| ≠ |b| ≠|c| and -10 ≤ a, b, c ≤ 10
Expression : $$[abc - (a + b + c)]$$
For maximum value, two of a,b and c should be negative, as all three negative will make abc negative.
Thus, max value will occur if $$a = -10 , b = -9 , c = 8$$
=> Max value = $$[(-10 \times -9 \times 8) - (-10 -9 + 8)]$$
= $$720 + 11 = 731$$
Video Solution
XAT Quant Questions | XAT Quantitative Ability
XAT Number Systems QuestionsXAT Time, Distance and Work QuestionsXAT Venn Diagrams QuestionsXAT Logarithms, Surds and Indices QuestionsXAT Inequalities Questions
XAT DILR Questions | LRDI Questions For XAT
XAT Special Charts QuestionsXAT Quant Based DI QuestionsXAT Arrangement QuestionsXAT Data Interpretation Basics QuestionsXAT Games and Tournamnents Questions
