NTS NAT-IE Analytical Reasoning Syllabus

Analytical Reasoning syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Analytical Reasoning in NTS NAT-IE, not a summary of it.

1. 1

   Scenario-Based Reasoning

   4 topics

   • Seating and Linear Arrangements
   • Ordering and Sequencing
   • Grouping and Selection
   • Matching and Assignment Puzzles
2. 2

   Statement-Based Reasoning

   4 topics

   • Logical Deductions
   • Assumptions and Conclusions
   • Cause and Effect Statements
   • Strengthening and Weakening Arguments
3. 3

   Logical Connectives

   3 topics

   • If-Then Conditionals
   • And, Or, Unless Statements
   • Negation and Contrapositive
4. 4

   Data Interpretation

   3 topics

   • Tables and Charts
   • Venn Diagram Reasoning
   • Coding-Decoding

Analytical Reasoning flashcards for NTS NAT-IE

20 of 59 cards from the Analytical Reasoning deck — real questions with worked answers.

1. In a linear arrangement problem, what does a clue like 'A sits immediately to the left of B' tell you, and how is it written?

   A and B are adjacent with A directly before B in the row, with no person between them. Notation: A B (in that fixed order).

2. In seating arrangements, what is the key difference between a 'linear' and a 'circular' arrangement when interpreting left/right?

   In linear arrangements left/right are fixed and absolute. In circular arrangements, left/right depend on whether people face the centre (directions reverse) or face outward.

3. For people seated in a circle facing the centre, on which hand side is a person's 'right neighbour' located relative to a clockwise observer?

   When facing the centre, a person's right is the anticlockwise direction; their left is the clockwise direction (directions are mirrored versus facing outward).

4. In arrangement puzzles, what is the standard first step before placing any element?

   Identify the number of fixed positions/seats and list the definite clues (exact positions) first, then apply relative clues, leaving floating possibilities to test last.

5. What does the clue 'A and B are not adjacent' eliminate in a linear arrangement?

   It eliminates every arrangement in which A and B occupy consecutive positions; at least one person must sit between them.

6. In a circular seating of n people, how many distinct arrangements are possible (treating rotations as identical)?

   (n - 1)! distinct arrangements, because fixing one person removes equivalent rotations.

7. In a linear arrangement of n distinct people, how many possible orderings exist with no constraints?

   n! (n factorial) orderings.

8. What is the recommended diagram for solving seating/arrangement puzzles, and why?

   Draw a fixed grid of blank positions (a row of boxes for linear, a circle for circular). It anchors absolute positions and prevents misreading relative clues.

9. Define an 'ordering/sequencing' problem in analytical reasoning.

   A problem that requires arranging items in a definite sequence (e.g., by height, rank, time, or finish order) based on comparative clues such as 'before', 'after', 'taller than'.

10. In sequencing, what does the clue 'X finished before Y but after Z' establish?

    The partial order Z, then X, then Y (Z before X before Y), though other items may fall between them.

11. What is a 'transitive' relationship in ordering problems, with an example?

    If A > B and B > C, then A > C. Example: if Ali is taller than Bilal and Bilal is taller than Carl, then Ali is taller than Carl.

12. In sequencing puzzles, how do you handle 'immediately before/after' versus simply 'before/after'?

    'Immediately' means strictly adjacent with nothing between (X Y); plain 'before/after' allows any number of items in between (X ... Y).

13. What technique helps when an ordering problem gives ranks like fastest to slowest?

    Build a single vertical or horizontal scale (number line) and place each element using the comparison clues, marking fixed extremes (highest/lowest) first.

14. Define a 'grouping and selection' (also called 'group/team') problem.

    A problem where items must be sorted into two or more groups, or a subset must be chosen from a set, subject to inclusion/exclusion rules (who can or cannot be together).

15. In selection problems, what does the rule 'If A is selected, then B must also be selected' imply about excluding B?

    By contrapositive, if B is NOT selected, then A cannot be selected. (A's selection forces B's selection.)

16. In grouping problems, what does 'A and B cannot be in the same group' require?

    A and B must always be split into different groups; any solution placing them together is invalid.

17. What is the key counting tool for 'how many ways to choose r items from n' in selection problems?

    The combination formula C(n, r) = n! / [r!(n - r)!], used when order does not matter.

18. In selection problems, when do you use permutations instead of combinations?

    Use permutations P(n, r) = n!/(n - r)! when the order/position of the chosen items matters; use combinations when only the membership matters.

19. Define a 'matching/assignment' puzzle.

    A puzzle that pairs items from one set with items from another (e.g., people with jobs, houses, or colours) so each element matches exactly one, governed by elimination clues.

20. What grid tool is best for solving matching/assignment puzzles?

    A matrix (grid) with one category along the rows and another along the columns; mark X for impossible pairings and O (tick) for confirmed pairings, using elimination.

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