Examius

🇮🇳 KVS Recruitment (PGT/TGT/PRT) · subject

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

The Reasoning and Quantitative Aptitude syllabus for KVS Recruitment (PGT/TGT/PRT) in full: 3 chapters, 10 topics and 22 sub-topics, every one listed below, plus 50 Reasoning and Quantitative Aptitude flashcards with answers.

3Chapters
10Topics
22Sub-topics
50Flashcards

Reasoning and Quantitative Aptitude syllabus: all 3 chapters

Expand any chapter to see its topics and sub-topics.

  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. 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. 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

KVS Recruitment (PGT/TGT/PRT) Reasoning and Quantitative Aptitude flashcards — 50 questions with 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.)

Show the other 30 Reasoning and Quantitative Aptitude flashcards

  1. In figure-based reasoning, what is "mirror image" versus "water (reflection) image"?

    Mirror image: object reflected left-right (vertical mirror beside it), reversing horizontal orientation. Water image: object reflected top-bottom (horizontal mirror below it), reversing vertical orientation as if reflected in water.

  2. In paper folding/punching problems, what determines the number of holes that appear when the paper is unfolded?

    Each fold doubles the number of holes from a single punch. The unfolded holes are symmetric about every fold line, so n folds can produce up to 2ⁿ holes per punch, placed mirror-symmetrically across each crease.

  3. In figure series/pattern completion, what three transformations should you check between successive figures?

    Check for (1) rotation (direction and angle), (2) reflection, and (3) addition/removal/movement of elements (counts, shading, position). Identify the consistent rule and project it forward.

  4. What is "embedded figure" identification in non-verbal reasoning?

    It asks you to find which answer figure contains the given figure hidden within it, in the same shape, size, and orientation (without rotation), as a part of a larger pattern.

  5. In pattern completion (matrix/grid) problems, how do you find the missing figure?

    Analyze the pattern row-wise and column-wise for a consistent rule (rotation, addition of lines, shading sequence, count progression), then choose the option that satisfies the rule for the empty cell.

  6. A standard die (dice) has how many faces, and what is the sum of opposite faces on a standard die?

    A standard cubic die has 6 faces. On a standard die, opposite faces always sum to 7 (1-6, 2-5, 3-4).

  7. What is the difference between a "standard" die and an "ordinary" die in dice reasoning?

    Standard die: opposite faces sum to 7. Ordinary die: opposite faces are simply the two faces that cannot be seen together in any given view; their sum need not be 7. You deduce opposites from the views shown.

  8. Rule for finding hidden/opposite faces from two views of a die: if one face is common in both positions, how do you find the opposite of the common face?

    If a face is common (same number, same position) in two views, then the remaining four visible faces are all adjacent to it; the one face NOT visible in either view is opposite the common face.

  9. When a cube of side n units is painted on all faces and cut into n³ unit cubes, how many small cubes have exactly 3 painted faces?

    Always 8 (the corner cubes), for any n ≥ 2.

  10. For an n-side painted cube cut into unit cubes, how many small cubes have exactly 2 faces painted, and how many have exactly 1 face painted?

    Exactly 2 faces: 12(n−2) (the edge cubes). Exactly 1 face: 6(n−2)² (the face-center cubes). 0 faces (interior): (n−2)³.

  11. State the divisibility rules for 3 and for 9.

    Divisible by 3 if the sum of its digits is divisible by 3. Divisible by 9 if the sum of its digits is divisible by 9.

  12. State the divisibility rules for 4 and for 8.

    Divisible by 4 if the last two digits form a number divisible by 4. Divisible by 8 if the last three digits form a number divisible by 8.

  13. State the divisibility rule for 11.

    A number is divisible by 11 if the difference between the sum of digits in odd positions and the sum of digits in even positions is 0 or a multiple of 11.

  14. What is the relationship between LCM, HCF, and two numbers?

    For two numbers, Product of the numbers = LCM × HCF. So LCM × HCF = a × b.

  15. What is the formula for the sum of the first n natural numbers, and the sum of their squares?

    Sum of first n natural numbers = n(n+1)/2. Sum of squares = n(n+1)(2n+1)/6. Sum of cubes = [n(n+1)/2]².

  16. Define HCF (GCD) and LCM of two or more numbers.

    HCF (Highest Common Factor) is the largest number that divides all the given numbers exactly. LCM (Least Common Multiple) is the smallest number that is exactly divisible by all the given numbers.

  17. What is the simple interest formula, and what does each symbol mean?

    SI = (P × R × T)/100, where P = principal, R = rate of interest per annum (%), T = time in years.

  18. What is the compound interest formula for amount compounded annually?

    A = P(1 + R/100)ᵀ, where A = amount, P = principal, R = annual rate (%), T = time in years. Compound Interest = A − P.

  19. How do you calculate profit percentage and loss percentage?

    Profit% = (Profit/Cost Price) × 100; Loss% = (Loss/Cost Price) × 100. Both are always calculated on the Cost Price (CP).

  20. What are the formulas for Selling Price (SP) given cost price and profit% or loss%?

    SP = CP × (100 + Profit%)/100 for profit; SP = CP × (100 − Loss%)/100 for loss.

  21. How is discount calculated, and on what value?

    Discount is calculated on the Marked Price (MP). Discount = MP × (Discount%)/100, and Selling Price = MP − Discount.

  22. What is the formula relating Speed, Distance, and Time?

    Speed = Distance/Time; Distance = Speed × Time; Time = Distance/Speed. To convert km/hr to m/s, multiply by 5/18; m/s to km/hr, multiply by 18/5.

  23. What is the average speed for a round trip covering equal distances at speeds x and y?

    Average speed = 2xy/(x + y), the harmonic mean of the two speeds (not the arithmetic mean), because equal distances are covered at different speeds.

  24. What is the formula for the average of a set of numbers?

    Average = (Sum of all observations)/(Number of observations). Equivalently, Sum = Average × Number of observations.

  25. How do you convert a fraction or ratio into a percentage and vice versa?

    Fraction → percentage: multiply by 100. Percentage → fraction: divide by 100. E.g., 3/4 = 75%; 40% = 40/100 = 2/5.

  26. If a quantity increases by x% and then decreases by x%, what is the net percentage change?

    There is a net decrease of (x²/100)%. Successive increase and decrease by the same percent never returns to the original; it always results in a loss of x²/100 percent.

  27. What is Data Interpretation (DI), and what are the common forms in which data is presented?

    DI is the analysis and interpretation of data to answer questions. Common forms: tables, bar graphs, line graphs, pie charts, and combination/caselet data.

  28. In a pie chart, how do you convert a percentage of data into the central angle (degrees), and vice versa?

    Central angle = (Percentage/100) × 360°, i.e., each 1% = 3.6°. Conversely, Percentage = (Angle/360) × 100. The whole circle (100%) = 360°.

  29. In Data Interpretation, what is the formula for percentage increase/decrease between two values?

    Percentage change = [(New value − Old value)/Old value] × 100. A positive result is an increase; a negative result is a decrease, always taken with respect to the original (old) value.

  30. In a bar graph or line graph DI set, how do you find the ratio of one category to another?

    Read the exact values (heights/data points) of the two categories from the graph, then express them as Value₁ : Value₂ and simplify to lowest terms. Ensure both use the same unit/scale.

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

What is in the KVS Recruitment (PGT/TGT/PRT) Reasoning and Quantitative Aptitude syllabus?

KVS Recruitment (PGT/TGT/PRT) Reasoning and Quantitative Aptitude is split into 3 chapters: Verbal and Logical Reasoning, Non-Verbal Reasoning and Quantitative Aptitude. Together they contain 10 topics and 22 sub-topics.

How many chapters are in KVS Recruitment (PGT/TGT/PRT) Reasoning and Quantitative Aptitude?

3 chapters, containing 10 topics and 22 sub-topics. The largest chapter is Verbal and Logical Reasoning, with 4 topics.

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

Yes — a 50-card Reasoning and Quantitative Aptitude deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.