Deduction
Chains, conditionals, quantifiers and Venn diagrams: what follows from premises, and what does not. Deduction is tested in the Critical thinking section of the Bocconi Test, which has 9 of the 50 questions (75 minutes in total, 2027/28 format). This guide covers it in 4 lessons, each with the rule that solves it and a diagram.
Chains of premises
All A are B and all B are C give all A are C; comparisons line up the same way. Chains never reverse, “all” followed by “some” breaks the link, and items not connected keep an unknown order.
If–then statements
From “if P then Q” you may conclude Q from P and not P from not Q. Q does not give P, and not P does not give not Q. “P only if Q” is P ⇒ Q; “P unless Q” is not Q ⇒ P.
All, some, none and negation
“Some” means at least one, possibly all. The negation of “all A are B” is “some A are not B”; the negation of “some A are B” is “no A is B”. The negation is not the opposite.
Reasoning with Venn diagrams
Draw all as inside, no as apart, some as an overlap with a mark. A conclusion follows only if no drawing that fits the premises breaks it. Two “some” premises give nothing.
What is the Bocconi Test format?
Online Bocconi Test for admission in academic year 2027/28, as published by Università Bocconi.
- Questions / time
- 50 / 75 minutes
- Distribution
- 24 mathematics · 11 reading · 6 numerical reasoning · 9 critical thinking
- Scoring
- +1 correct · 0 blank · −0.2 wrong
- Question languages
- English · Italian
- Three-option questions
- Some critical thinking questions have three options; a wrong answer there costs −0.33
- Minimum score
- Below 17 points the test is not considered for selection
- AI degree
- Mathematical and Computing Sciences for Artificial Intelligence also needs at least 11 of 24 points in mathematics
- Law test
- A separate test, 50 questions / 75 minutes: 5 mathematics · 11 reading · 6 numerical reasoning · 18 logic and critical thinking · 10 verbal reasoning; same scoring
Source: Università Bocconi, Online Bocconi Test page (checked October 7, 2026)
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