GATE DA & AI Engineering General Aptitude Syllabus

What is the difference between a homophone, a homonym, and a synonym?

Homophones sound alike but differ in spelling/meaning (their/there). Homonyms share spelling and sound but differ in meaning (bat the animal/bat the bat). Synonyms have similar meanings (big/large).

Define 'antonym' and give a pair of examples.

An antonym is a word with the opposite meaning of another word. Examples: hot/cold, expand/contract, ascend/descend.

What is the meaning of the idiom 'to bite the bullet'?

To force oneself to endure or face a difficult, painful, or unpleasant situation with courage, because it is unavoidable.

What does the idiom 'once in a blue moon' mean?

It means very rarely or almost never — an event that happens extremely infrequently.

What does the idiom 'to let the cat out of the bag' mean?

To reveal a secret carelessly or by mistake.

What is the meaning of the idiom 'a blessing in disguise'?

Something that seems bad or unfortunate at first but later turns out to be good or beneficial.

What is the difference between a phrase and a clause?

A phrase is a group of related words lacking both a subject and a finite verb (e.g., 'under the table'). A clause contains a subject and a finite verb and may stand alone (independent) or not (dependent).

What is the difference between an idiom and a literal phrase?

A literal phrase means exactly what its words say. An idiom is a fixed expression whose figurative meaning cannot be deduced from the individual words (e.g., 'kick the bucket' = die).

In reading comprehension, what is the difference between the 'main idea' and a 'supporting detail'?

The main idea is the central point or overall message the author conveys. Supporting details are facts, examples, or reasons that explain, prove, or develop that main idea.

What is an inference in reading comprehension?

An inference is a logical conclusion the reader draws from evidence in the text combined with reasoning, rather than information stated explicitly.

What does narrative sequencing test, and what clue words signal the order of events?

It tests the ability to arrange sentences/events in their correct logical and chronological order. Clue words include time markers (first, then, next, finally), pronoun references, and cause-effect connectors.

When ordering a jumbled paragraph, how do you typically identify the opening sentence?

The opening sentence usually introduces the topic, contains a full noun (not a pronoun), and does not depend on a previous sentence — it has no backward-referring words like 'this', 'therefore', or 'however'.

What is data interpretation in the aptitude context?

Data interpretation is the skill of reading, analysing, and drawing conclusions from data presented in tables, graphs, or charts to answer quantitative questions (totals, ratios, percentages, trends).

What does a bar graph display, and when is it most useful?

A bar graph uses rectangular bars whose lengths/heights are proportional to the values they represent. It is best for comparing discrete categories or values across groups.

What does a pie chart represent, and how many degrees equal the whole?

A pie chart represents parts of a whole as sectors of a circle, where each sector's angle is proportional to its share. The whole circle is $360^{\circ}$, also equal to $100\%$.

How do you convert a percentage share into the central angle of a pie chart sector?

Multiply the fractional share by $360^{\circ}$. For a category that is $p\%$ of the total: $$\text{angle} = \frac{p}{100} \times 360^{\circ}.$$

In a pie chart, a sector has a central angle of $90^{\circ}$. What percentage of the total does it represent?

$$\frac{90}{360} \times 100\% = 25\%.$$ The sector represents one quarter of the whole.

What is the formula for percentage change between an old value and a new value?

$$\text{Percentage change} = \frac{\text{New} - \text{Old}}{\text{Old}} \times 100\%.$$ A positive result is an increase; a negative result is a decrease.

How is the arithmetic mean (average) of a data set calculated?

$$\bar{x} = \frac{1}{n}\sum_{i=1}^{n} x_i = \frac{\text{sum of all values}}{\text{number of values}}.$$

What is a line graph best suited for representing in data interpretation?

A line graph is best for showing trends and changes in a quantity over a continuous variable such as time, by connecting plotted data points with line segments.

What is a histogram, and how does it differ from a bar graph?

A histogram displays the frequency distribution of continuous (grouped) data using adjacent bars with no gaps. A bar graph compares discrete categories and has gaps between its bars.

In a 2-dimensional Cartesian plot, what do the x-axis and y-axis represent?

In a 2-D plot the horizontal x-axis represents the independent variable (abscissa) and the vertical y-axis represents the dependent variable (ordinate). A point is written as $(x, y)$.

What additional element does a 3-dimensional plot have compared with a 2-D plot?

A 3-D plot adds a third mutually perpendicular axis (the z-axis), so each point is specified by three coordinates $(x, y, z)$, allowing representation of a surface or volume rather than a flat curve.

What is a scatter plot used to reveal?

A scatter plot displays individual data points for two variables to reveal the relationship, correlation (positive, negative, or none), and clustering or outliers between them.

In a data table, how do you read a specific value at the intersection of a row and a column?

Locate the row label (e.g., a year or item) and the column label (e.g., a category), then read the cell where that row and column intersect — that cell holds the corresponding value.

On a map, what does the scale indicate, and how is a real distance found from a map distance?

The scale gives the ratio of map distance to actual ground distance (e.g., 1 cm : 5 km). Real distance = measured map distance × scale factor.

How do you compute the ratio of two categories from a bar graph?

Read each category's value (bar height) and form the ratio of the first to the second, simplifying to lowest terms: $$\text{ratio} = \frac{\text{value of A}}{\text{value of B}}.$$

In data interpretation, what is the formula to find what percentage one quantity is of another?

$$\text{Percentage} = \frac{\text{part}}{\text{whole}} \times 100\%.$$ For example, if 30 of 120 students passed, the pass rate is $\frac{30}{120}\times 100\% = 25\%$.

What is the difference between an independent clause and a dependent (subordinate) clause?

An independent clause expresses a complete thought and can stand alone as a sentence. A dependent clause cannot stand alone; it relies on an independent clause and usually begins with a subordinating conjunction or relative pronoun.

What is a stacked bar graph, and what does each segment of a single bar show?

A stacked bar graph divides each bar into segments representing sub-categories. Each segment shows that sub-category's contribution, and the total bar length shows the combined total for the main category.