KVS Recruitment (PGT/TGT/PRT) Reasoning and Quantitative Aptitude Syllabus

Reasoning and Quantitative Aptitude syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Reasoning and Quantitative Aptitude in KVS Recruitment (PGT/TGT/PRT), not a summary of it.

1. 1

   Verbal and Logical Reasoning

   4 topics

   • Analogy and Classification
     • Word, number and letter analogy
     • Odd-one-out
   • Series and Coding-Decoding
     • Number and alphabet series
     • Coding by letter shifting and symbols
   • Logical Deduction
     • Syllogisms
     • Statements, assumptions and conclusions
   • Arrangements and Puzzles
     • Seating arrangement
     • Blood relations and direction sense
2. 2

   Non-Verbal Reasoning

   3 topics

   • Figure-based Reasoning
     • Mirror and water images
     • Embedded and hidden figures
   • Pattern Completion
     • Figure series and analogy
     • Paper folding and cutting
   • Cube and Dice Reasoning
     • Dice problems and faces
     • Cube folding and counting
3. 3

   Quantitative Aptitude

   3 topics

   • Number System and Arithmetic
     • HCF, LCM and simplification
     • Percentage, ratio and proportion
     • Average, age and partnership
   • Commercial Mathematics
     • Profit, loss and discount
     • Simple and compound interest
     • Time, speed, distance and work
   • Data Interpretation
     • Tables, bar and pie charts
     • Line graphs and mixed data sets

Reasoning and Quantitative Aptitude flashcards for KVS Recruitment (PGT/TGT/PRT)

20 of 50 cards from the Reasoning and Quantitative Aptitude deck — real questions with worked answers.

1. In verbal analogy, what is an "analogy" and what must a solver identify to complete one?

   An analogy is a relationship of similarity between two pairs of terms. The solver must identify the logical relationship in the given pair (e.g., cause-effect, part-whole, synonym, worker-tool) and apply the same relationship to find the missing term.

2. What is the difference between "Analogy" and "Classification (Odd One Out)" type questions?

   In Analogy, you find a term sharing the same relationship as a given pair. In Classification, you identify the one item that does NOT share the common property/relationship that the rest of the group has.

3. Name four common relationship types tested in analogy questions.

   Common types: synonym/antonym, cause and effect, part and whole, worker and tool/product, function, and category-member relationships.

4. In number classification, why is 49 the odd one in {2, 3, 5, 7, 49}?

   2, 3, 5, 7 are all prime numbers, while 49 (= 7 x 7) is composite. The common property is primality, so 49 is the odd one out.

5. In a letter series, what is the standard position number assigned to letters A through Z?

   A=1, B=2, C=3 ... Z=26. Reverse order (EJOTY/opposite): A=26, B=25 ... Z=1. Knowing positions lets you compute gaps between letters in a series.

6. What is the EJOTY rule used for in alphabet-based reasoning?

   EJOTY gives quick reference positions: E=5, J=10, O=15, T=20, Y=25. It lets you locate any letter's position fast without counting from A.

7. In Coding-Decoding, what is "letter-shift (Caesar) coding"?

   Each letter is replaced by a letter a fixed number of places forward or backward in the alphabet. E.g., +1 shift turns CAT into DBU. Decode by reversing the shift.

8. How do you find the opposite (mirror) letter of any alphabet letter?

   Opposite letter position = 27 minus the letter's position. E.g., for D (4), opposite = 27 - 4 = 23 = W. The pairs are A-Z, B-Y, C-X, etc.

9. In a number series, what defines an "arithmetic" versus a "geometric" series?

   Arithmetic: each term differs from the previous by a constant difference (e.g., 2,5,8,11; d=3). Geometric: each term is the previous multiplied by a constant ratio (e.g., 3,6,12,24; r=2).

10. What is the next term in the series 1, 4, 9, 16, 25, ...? Explain the pattern.

    36. These are perfect squares: 1², 2², 3², 4², 5², so the next is 6² = 36.

11. What is a syllogism in logical deduction, and what are its parts?

    A syllogism is a deductive argument with two premises and a conclusion. It tests whether the conclusion necessarily follows from the given premises (statements), regardless of real-world truth.

12. In syllogism rules, what does the term "distributed" mean, and which statements distribute the subject/predicate?

    A term is distributed when a statement refers to all members of that category. 'All A are B' distributes the subject (A). 'No A are B' distributes both A and B. 'Some A are not B' distributes the predicate (B).

13. In syllogisms, can a valid conclusion be drawn from two particular premises (both starting with "Some")?

    No. From two particular premises ('Some...'), no definite conclusion can be drawn. At least one premise must be universal ('All' or 'No') for a valid conclusion.

14. In syllogisms, if both premises are negative, what conclusion follows?

    No valid conclusion can be drawn from two negative premises.

15. What is the rule about the conclusion when one premise is negative in a syllogism?

    If one premise is negative, the conclusion (if any) must also be negative.

16. What is the difference between a "linear arrangement" and a "circular arrangement" puzzle?

    Linear: people/objects sit in a single row/line; positions have a definite left-right end. Circular: arranged around a circle; directions (facing center vs outward) reverse left-right, and there are no end positions.

17. In a circular arrangement with all persons facing the center, how do left and right directions relate to an observer's view?

    When facing the center, a person's left is the clockwise direction and their right is the anticlockwise direction (mirror of facing outward). This reversal is the key trick in circular puzzles.

18. What is the first recommended step when solving a seating arrangement or puzzle?

    List all definite (direct) clues to fix positions first, then apply conditional/relative clues. Draw a diagram, and use elimination for floating possibilities.

19. In blood-relation problems, who is referred to by "my father's only son" (when spoken by a male)?

    If a man says 'my father's only son,' he is referring to himself.

20. In a direction-sense problem, if you face North and turn 90° clockwise, which direction do you face? Then another 90° clockwise?

    Facing North, 90° clockwise → East. Another 90° clockwise → South. (North→East→South→West→North.)

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