GATE CS & IT Engineering General Aptitude Syllabus

What does the idiom 'to bite the bullet' mean?

To force oneself to endure a painful or unpleasant situation that is unavoidable, accepting it bravely. Example: 'She bit the bullet and finished the difficult project.'

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

It means something that happens very rarely or hardly ever. Example: 'He visits his hometown once in a blue moon.'

What is the meaning of the idiom 'to let the cat out of the bag'?

To reveal a secret, often accidentally. Example: 'He let the cat out of the bag about the surprise party.'

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

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

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

The main idea is the central point or message of a passage. A supporting detail is a specific fact, example, or piece of evidence that explains, proves, or elaborates on the main idea.

What is the difference between an inference and a stated fact in comprehension?

A stated fact is information explicitly written in the text. An inference is a logical conclusion the reader draws by combining textual clues with reasoning, even though it is not directly stated.

What does 'tone' mean in a reading passage, and how does it differ from 'mood'?

Tone is the author's attitude toward the subject (e.g., sarcastic, formal, optimistic). Mood is the emotional atmosphere the passage creates in the reader (e.g., tense, joyful, gloomy).

What is narrative sequencing, and what clue words signal chronological order?

Narrative sequencing is arranging events in the logical/chronological order they occur. Signal words include: first, next, then, after, before, meanwhile, finally, subsequently.

When reordering jumbled sentences (para-jumbles), what is a reliable strategy to find the opening sentence?

Identify a sentence that introduces the topic independently and contains no backward-referencing words (pronouns like 'it', 'this', 'they', or connectors like 'however', 'therefore') that depend on a prior sentence.

What is data interpretation in the context of aptitude tests?

Data interpretation is the skill of reading, analyzing, and drawing conclusions from data presented in tables, charts, or graphs, often involving calculations of percentages, ratios, averages, and growth.

In a pie chart, how do you convert a category's percentage into a central angle in degrees?

Multiply the category's fraction of the whole by 360 degrees: $$\text{angle} = \frac{\text{category value}}{\text{total}} \times 360^{\circ}$$ For example, 25% corresponds to $0.25 \times 360^{\circ} = 90^{\circ}$.

What type of data is best represented by a pie chart, and what is its key limitation?

A pie chart best shows parts of a whole (proportions/percentages of a single total). Its limitation is that it cannot effectively show trends over time or compare many categories or multiple datasets.

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

A bar graph compares discrete categories using separated rectangular bars whose length represents value. A histogram shows the distribution of continuous numerical data using adjacent (touching) bars representing intervals/bins.

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

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

How do you calculate the arithmetic mean (average) of a data set?

Divide the sum of all values by the number of values: $$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$ where $n$ is the count of data points.

What is a line graph best used for in data interpretation?

A line graph is best for showing trends and changes in data over a continuous interval, usually time. The slope of the line indicates the rate of increase or decrease.

In a data table, how do you find what fraction one cell represents of its row or column total?

Divide the cell value by the relevant total: $$\text{fraction} = \frac{\text{cell value}}{\text{row or column total}}$$ Multiply by 100 to express it as a percentage.

What does the x-axis (horizontal) and y-axis (vertical) typically represent in a 2-dimensional plot?

The x-axis (independent variable) is usually the input or category being varied (e.g., time), and the y-axis (dependent variable) represents the measured output or value that changes in response.

In a 3-dimensional plot, what does the addition of a z-axis allow you to represent?

A z-axis adds a third dimension, allowing representation of a third variable. A point is located by coordinates $(x, y, z)$, enabling visualization of surfaces and relationships among three variables simultaneously.

What is a scatter plot, and what does it reveal about two variables?

A scatter plot displays paired data points on an x-y plane to reveal the relationship (correlation) between two variables — whether positive, negative, or no correlation — and the strength of that association.

What is the difference between positive and negative correlation in a scatter plot?

Positive correlation: as one variable increases, the other tends to increase (upward trend). Negative correlation: as one variable increases, the other tends to decrease (downward trend).

On a map with a scale of 1:50,000, what real distance does 1 cm represent?

A scale of 1:50,000 means 1 unit on the map equals 50,000 units in reality. So 1 cm represents 50,000 cm = 500 m = 0.5 km.

What is the difference between a ratio and a proportion in data interpretation?

A ratio compares two quantities ($a:b$ or $\frac{a}{b}$). A proportion is an equation stating that two ratios are equal, e.g., $\frac{a}{b} = \frac{c}{d}$.

How is the angle of a sector related to the value it represents, given the total in a pie chart?

Value of a sector $= \frac{\theta}{360^{\circ}} \times \text{Total}$, where $\theta$ is the sector's central angle. Conversely, $\theta = \frac{\text{value}}{\text{Total}} \times 360^{\circ}$.

In a stacked bar graph, what does the total height of each bar represent?

In a stacked bar graph, each bar is divided into segments for sub-categories, and the total height of the bar represents the sum (combined total) of all its segments for that category.

What is the median of a data set, and how is it found?

The median is the middle value when data is arranged in ascending order. For an odd count, it is the central value; for an even count, it is the average of the two central values.

What is the meaning of the phrase 'in light of' as used in context?

'In light of' means 'considering' or 'because of' a particular fact or circumstance. Example: 'In light of the new evidence, the case was reopened.'

What is the difference between the verbs 'lie' and 'lay' in standard usage?

'Lie' (lie, lay, lain) is intransitive and means to recline ('I lie down'). 'Lay' (lay, laid, laid) is transitive and requires an object ('I lay the book down').

What does the idiom 'to read between the lines' mean, and why is it relevant to comprehension?

It means to understand a hidden or implied meaning that is not directly stated. In comprehension, it relates to making inferences about the author's intent beyond the literal words.

What is a determiner, and how does it function in a noun phrase?

A determiner is a word placed before a noun to clarify its reference — such as articles (a, the), demonstratives (this, those), possessives (my, their), and quantifiers (some, many, few).