VITEEE Aptitude Syllabus

Aptitude syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Aptitude in VITEEE, not a summary of it.

1. 1

   Quantitative Aptitude

   3 topics

   • Numerical Computation
     • Number systems, HCF and LCM
     • Percentages, ratio and proportion
     • Profit, loss and simple/compound interest
   • Time, Speed and Work
     • Time and distance, trains and boats
     • Time and work; pipes and cisterns
   • Data Interpretation
     • Tables, bar and pie charts
     • Averages, mixtures and alligation
2. 2

   Logical and Analytical Reasoning

   3 topics

   • Verbal Reasoning
     • Analogies and classification
     • Series completion and coding-decoding
     • Blood relations and direction sense
   • Analytical Reasoning
     • Seating arrangement and puzzles
     • Syllogisms and statement-conclusion
   • Non-Verbal Reasoning
     • Pattern and figure series
     • Mirror and water images
3. 3

   Data Sufficiency and Decision Making

   3 topics

   • Data Sufficiency
     • Single and two-statement problems
     • Quantitative data sufficiency
   • Logical Decision Making
     • Cause and effect, assumptions
     • Course of action and inference
   • Clocks, Calendars and Cubes
     • Clock angles and calendar problems
     • Cubes and dice reasoning

Aptitude flashcards for VITEEE

23 of 50 cards from the Aptitude deck — real questions with worked answers.

1. What is the formula relating speed, distance, and time?

   Speed = Distance / Time. Equivalently, Distance = Speed x Time, and Time = Distance / Speed.

2. How do you convert a speed from km/h to m/s?

   Multiply by 5/18. (To convert m/s to km/h, multiply by 18/5.)

3. What is the formula for average speed when equal distances are covered at speeds x and y?

   Average speed = 2xy / (x + y) — the harmonic mean of the two speeds.

4. In Time and Work, if a person completes a job in n days, what fraction of the work is done in one day?

   1/n of the work per day.

5. If A can do a job in 'a' days and B in 'b' days, how long do they take working together?

   Together they take ab / (a + b) days, since combined one-day work = 1/a + 1/b.

6. What is the relative speed of two objects moving in the same direction at speeds u and v?

   Relative speed = |u - v| (the difference of speeds).

7. What is the relative speed of two objects moving in opposite directions at speeds u and v?

   Relative speed = u + v (the sum of speeds).

8. How long does a train of length L moving at speed S take to cross a stationary pole?

   Time = L / S, since it only needs to cover its own length.

9. How long does a train of length L_train take to cross a platform of length L_plat at speed S?

   Time = (L_train + L_plat) / S, covering the sum of both lengths.

10. What is the relationship between work rate and time taken?

    Work rate is inversely proportional to time: rate = work / time. Faster (higher) rate means less time for the same work.

11. If M1 men do W1 work in D1 days working H1 hours/day, what is the work-equation for a second scenario?

    M1·D1·H1 / W1 = M2·D2·H2 / W2 (the chain/man-days rule).

12. In a stream, if boat speed in still water is b and stream speed is s, what are the downstream and upstream speeds?

    Downstream = b + s; Upstream = b - s.

13. Given downstream speed D and upstream speed U, how do you find still-water speed and stream speed?

    Still-water speed = (D + U)/2; Stream speed = (D - U)/2.

14. What is Data Interpretation (DI) in aptitude?

    The skill of reading, analyzing, and drawing conclusions from data presented in tables, bar graphs, line graphs, pie charts, or caselets to answer quantitative questions.

15. In a pie chart, how many degrees represent the whole, and how do you find a sector's angle?

    The whole circle = 360°. A category's angle = (category value / total) x 360°.

16. How is percentage change calculated in Data Interpretation?

    Percentage change = ((New value - Old value) / Old value) x 100.

17. In DI, how do you compute the percentage one quantity is of another?

    Percentage = (Part / Whole) x 100.

18. What does a line graph best represent in Data Interpretation?

    Trends or changes in one or more quantities over a continuous variable such as time.

19. What is Data Sufficiency in aptitude tests?

    A question type where you must decide whether the given statements provide enough information to answer the question, rather than actually solving for the final value.

20. What are the standard five answer options in a Data Sufficiency question?

    (A) Statement 1 alone is sufficient; (B) Statement 2 alone is sufficient; (C) Both together are sufficient but neither alone; (D) Each alone is sufficient; (E) Both together are still insufficient.

21. In Data Sufficiency, why should you avoid fully solving each statement?

    You only need to determine if a unique answer can be obtained, not compute it; fully solving wastes time and isn't required.

22. What is Verbal Reasoning?

    Reasoning that tests understanding and logical evaluation of written information — including analogies, syllogisms, statement-conclusion, and assumption questions expressed in words.

23. What is a syllogism in verbal reasoning?

    A logical argument with premises (e.g., 'All A are B', 'Some B are C') from which a valid conclusion must be deduced.

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