Syllogisms and logical puzzles look intimidating but reward the most mechanical methods in the section. Draw the right diagram, add every clue, and the answer is simply read off the page. The skill is choosing the diagram fast and trusting it over your intuition.
Syllogisms: the minimum-overlap Venn
A syllogism gives you a few statements about groups and asks whether a conclusion follows. Draw the groups as overlapping circles, but only commit to the overlap the statements actually force — nothing more. 'All A are B' nests A inside B; 'some A are B' forces just one shared point; 'no A are B' keeps them apart. By drawing the minimum overlap, you avoid inventing relationships the text never stated.
Default to No when nothing forces it
A conclusion only follows if it must be true in every arrangement your diagram allows. If you can picture even one valid arrangement where the conclusion fails, it does not follow — so the answer is No. This is the single most useful habit for the five-statement format: unless the statements force the conclusion, default to No rather than to what merely sounds plausible.
A worked syllogism
Suppose: all wolves are mammals, and all lycans are wolves. Draw lycans inside wolves inside mammals. 'All lycans are mammals' must be true in that nested picture, so Yes. Now add 'some foxes are red, no wolves are red'. Does 'no lycans are red' follow? Lycans sit entirely inside wolves, and no wolves are red, so no lycan can be red — Yes. But 'some foxes are wolves' has nothing forcing it, so it's No.
Logical puzzles: build a grid
Puzzles ask you to arrange people, objects or positions under a set of clues. Don't reason in your head — draw a grid. For matching problems (who teaches what, who chose which colour) use a table of people against options and tick or cross each cell. For ordering problems (fastest to slowest, hottest to coolest) draw a single ranked line of slots and slide names in.
Work from the most certain clue first
Start with the clue that pins something down completely, then cascade. Each definite placement lets you cross out cells or fix neighbours, and the grid tightens until only one arrangement survives. If the question asks what 'must be true', test the candidate answers against your grid — anything that could be otherwise is out.
A worked puzzle
Five bakers use ovens at 165, 180, 195, 210 and 225C. Clues: Raj is hotter than Lucas; Lucas is above Sofia but below Mei; Nina is above Mei. Draw five slots low to high. Sofia sits below Lucas below Mei below Nina, giving Sofia, Lucas, Mei, Nina rising — and Raj must be hotter than Lucas, so Raj slots in too. Fill the line and any 'must be true' option is read straight off it.
Why this saves time overall
Drawing feels slower for the first few questions and then pays for itself: you stop re-reading the stem, you stop second-guessing, and you stop making the silent errors that come from juggling clues mentally. Because logical puzzles are your last type in the attack order, a clean grid is also your best defence against the clock at the end.