VITEEE Aptitude Syllabus

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.

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.

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.

In a word analogy like 'Doctor : Hospital :: Teacher : ?', what relationship is being tested?

The functional/workplace relationship; the answer is 'School' (the place where the person works).

What is the difference between an inference and an assumption in verbal reasoning?

An inference is a conclusion logically drawn from given statements; an assumption is something taken for granted/unstated but necessary for the statement to hold.

What is Analytical Reasoning?

Reasoning that involves analyzing a set of conditions or relationships (e.g., seating arrangements, orderings, groupings) to deduce logically valid arrangements or conclusions.

In a linear seating arrangement problem, what does 'immediate neighbour' mean?

A person sitting directly adjacent (next to) the given person, with no one in between.

What is a 'blood relations' problem in analytical reasoning?

A puzzle requiring you to determine family relationships among people based on given clues, often using a family-tree diagram.

In coding-decoding, what is letter-shift (Caesar-type) coding?

Each letter is replaced by another a fixed number of positions ahead/behind in the alphabet (e.g., +1: CAT becomes DBU).

What is Non-Verbal Reasoning?

Reasoning based on visual/pictorial information — figures, patterns, shapes — including series, analogies, classification, mirror/water images, and paper folding.

In a mirror image, how does the orientation of a figure change?

The image is laterally inverted — left and right are reversed, while top and bottom remain the same.

In a water image, how does the orientation of a figure change?

The image is vertically inverted (flipped upside-down); top and bottom are reversed while left and right remain the same.

What is a figure series in non-verbal reasoning?

A sequence of figures following a hidden rule (rotation, addition/removal of elements, etc.); you identify the rule to pick the next figure.

What is odd-one-out (classification) in non-verbal reasoning?

Identifying the figure or item that does not share the common property held by the rest of the group.

What is Logical Decision Making in aptitude?

Evaluating given conditions, rules, or criteria against data to arrive at the correct decision or course of action, such as eligibility/selection problems.

In a course-of-action question, what makes a suggested action 'valid'?

It must logically and practically follow from the problem statement to address or solve the given situation.

On a clock, through how many degrees does the hour hand move in one hour?

30° (360° / 12 hours = 30° per hour).

On a clock, through how many degrees does the minute hand move in one minute?

6° per minute (360° / 60 minutes).

What is the formula for the angle between the hour and minute hands at H hours and M minutes?

Angle = |30H - 5.5M| degrees (take the smaller of this and 360 minus this).

How many times do the hands of a clock coincide (overlap) in 12 hours?

11 times in 12 hours (and 22 times in 24 hours), roughly every 65 5/11 minutes.

How many times are the hands of a clock at right angles (90°) in 12 hours?

22 times in 12 hours (and 44 times in 24 hours).

What is an 'ordinary year' versus a 'leap year' in terms of days and odd days?

An ordinary year has 365 days = 1 odd day; a leap year has 366 days = 2 odd days.

What is a 'leap year' rule in the calendar?

A year divisible by 4 is a leap year, except centuries, which must be divisible by 400 (e.g., 2000 is a leap year, 1900 is not).

What are 'odd days' used for in calendar problems?

Odd days (remainder days after counting complete weeks, i.e., total days mod 7) determine the day of the week for a given date.

How many odd days are in 100 years and in 400 years?

100 years = 5 odd days; 200 years = 3; 300 years = 1; 400 years = 0 odd days.

When a cube of side n 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 (regardless of n, for n ≥ 2).

In a painted cube cut into n³ unit cubes, how many have exactly 2 painted faces?

12(n - 2) — the cubes along the edges excluding corners.

In a painted cube cut into n³ unit cubes, how many have exactly 1 painted face?

6(n - 2)² — the cubes in the center of each face.

In a painted cube cut into n³ unit cubes, how many have no painted face?

(n - 2)³ — the inner cubes completely hidden inside.

What is Numerical Computation in aptitude?

The branch dealing with fundamental arithmetic operations and number properties — fractions, percentages, ratios, averages, HCF/LCM, simplification (BODMAS), and number systems.