Logical & Analytical Reasoning — CUET UG General Test
Logical & Analytical Reasoning is the heavier of the two Reasoning-cluster topics, and it rewards a very specific habit: drawing a quick diagram, family tree or table on the rough sheet, rather than trying to track every relationship or position mentally. None of the individual sub-topics is conceptually hard — the difficulty comes entirely from keeping several stated facts straight at once, which a drawn structure solves directly.
1. Blood relations
A blood-relations question gives a chain of family statements and asks for the relationship between two specific people in that chain — the fastest method is drawing a small family tree, generation by generation, as each statement is read, rather than trying to hold the whole chain in memory.
A chain like "A is B's father, B is C's sister, C is D's son, D is A's wife" draws out directly: A and D are a married couple, and both B and C are their children — making C also A's son.
2. Syllogism
A syllogism gives two or more categorical statements (All/Some/No) and asks which conclusion necessarily follows — "necessarily" is the key word, since a conclusion that is merely PLAUSIBLE but not guaranteed by the given statements is not a valid conclusion.
Two patterns are worth recognising instantly as producing NO valid conclusion connecting the two end terms: "All A are B, Some B are C" and "Some A are B, Some B are C" — in both cases, the "Some" statement does not guarantee enough overlap to connect A and C.
3. Ranking
A ranking question gives a person's rank from one end (top or bottom) of a group and the group's total size, and asks for their rank from the other end — the two ranks and the total size always satisfy one fixed relationship.
If a class has 45 students and Priya ranks 18th from the top, her rank from the bottom is .
4. Seating arrangement (linear and circular)
Linear seating arrangements place people along a row, while circular seating arrangements place them around a table — the core method is identical for both: draw the row or circle first, then place each person according to the given clues one at a time, using the clues that fix an ABSOLUTE position before the ones that only state a RELATIVE position.
In circular arrangements specifically, "immediately to the left/right" and "clockwise/anticlockwise" must be read relative to the table's centre, not relative to an external viewer.
5. Direction sense
Direction problems track a person's movements as a sequence of directions and distances, and the fastest solving method treats north-south and east-west as two INDEPENDENT axes — net displacement along each axis is found separately, and only combined at the end if the question asks for total distance or a single overall direction.
A person walking 8 km north, then 6 km east, then 8 km south ends up exactly 6 km east of the start — the two 8 km north-south legs cancel completely, leaving only the east-west displacement.
6. Calendars
Calendar questions ask for the day of the week on a given date, using the fact that the day of the week repeats every 7 days — the number of days between two dates, taken MOD 7 (the remainder after dividing by 7), gives the shift in day of the week.
A full ordinary year (365 days) shifts the day of week by 1 (), while a leap year (366 days) shifts it by 2 — this single fact answers most "same date, different year" calendar questions directly.
7. Coding-decoding and operator substitution
A coding-decoding question defines a fixed rule — commonly a fixed letter shift — applied to a sample word, and the same rule must then be applied to a new word; the rule must first be correctly identified from the given example before it is reused.
An operator-substitution question instead swaps the MEANINGS of arithmetic symbols (for instance, '+' actually means '×') and asks for an expression's value — the swap must be applied to every occurrence of a symbol first, and only then does BODMAS apply, using the new meanings throughout.
8. Transitive ordering (comparison chains)
A transitive-ordering question gives several pairwise comparisons (taller than, older than, heavier than) and asks for the overall order — chaining every comparison into one single ordered list, from most to least, resolves any question about relative position that follows. Once the full chain is built, "who is second-tallest" or "who is shorter than exactly two people" become direct lookups rather than fresh calculations.
Worked Examples
Example 1. A is B's father. B is C's sister. C is D's son. D is A's wife. How is C related to A?
D is A's wife, so A and D are the parents. C is D's son, making C also A's son (since A and D are married, their children are shared).
Answer: C is A's son.
Example 2. Statements: All roses are flowers. Some flowers are red. Conclusion: Some roses are red.
This follows the "All A are B, Some B are C" pattern — the "some red flowers" are not guaranteed to include any rose specifically, since "some" only confirms overlap with SOME flowers, not necessarily the rose subset.
Answer: The conclusion does NOT necessarily follow.
Example 3. In a class of 52 students, Arjun ranks 21st from the top. Find his rank from the bottom.
.
Answer: 32nd from the bottom.
Example 4. 6 friends sit around a circular table. A sits immediately to the right of B. C sits immediately to the left of B. D sits opposite A. Where does D sit relative to B and C?
Placing B first, A is immediately right of B and C is immediately left of B, so the order around the table (clockwise from B) is B, A, ?, D (opposite A), ?, C. Since D is directly opposite A, and A is one seat clockwise from B, D sits opposite A — three seats away from A in either direction around a 6-seat table.
Answer: D sits directly opposite A, three seats from both B and C going around the table.
Example 5. A man walks 5 km north, then 4 km east, then 5 km south, then 4 km west. How far is he from his starting point?
North-south: . East-west: . Both axes cancel completely.
Answer: He is back at the starting point (0 km away).
Example 6. If 1 January 2024 was a Monday, what day of the week was 1 January 2025? (2024 was a leap year, 366 days.)
leaves a remainder of 2 (since ), so the day of the week shifts forward by 2 from Monday.
Answer: Wednesday.
Example 7. In a certain code, CAT is written as DBU (each letter shifted forward by 1 in the alphabet). How is DOG written in the same code?
Applying the same +1 shift: D→E, O→P, G→H.
Answer: EPH.
Example 8. If '+' means '×', '−' means '+', '×' means '÷', and '÷' means '−', evaluate: .
Substituting the new meanings throughout: . Applying BODMAS to this substituted expression: , then , then .
Answer: 19.
Example 9. Among 5 friends, P is taller than Q, Q is taller than R, S is taller than P, and T is shorter than R. Determine the full order from tallest to shortest.
Chaining every comparison: .
Answer: S, P, Q, R, T (tallest to shortest).
Summary
Blood relations, seating arrangements and transitive-ordering questions are all solved fastest by drawing a family tree, a seating diagram, or an ordered chain — never by tracking relationships mentally.
Syllogisms test whether a conclusion is NECESSARILY guaranteed, not merely plausible — the "All+Some" and "Some+Some" statement combinations are the two classic patterns that produce no valid conclusion connecting the end terms.
Ranking uses one fixed relationship: Rank from bottom = Total − Rank from top + 1. Direction-sense problems resolve fastest by tracking north-south and east-west displacement as two independent axes. Calendar questions use the number of days between two dates, taken mod 7, to find the shift in day of the week — an ordinary year shifts by 1, a leap year by 2.
Coding-decoding requires identifying the exact rule from the given example before reusing it; operator-substitution requires swapping every symbol's meaning first, then applying BODMAS to the substituted expression.
