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UGC NET Mathematical Reasoning and Aptitude Flashcards
50 question-and-answer cards covering Mathematical Reasoning and Aptitude as it is examined in UGC NET. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematical Reasoning and Aptitude deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
How do you convert a fraction to a decimal and vice versa?
Fraction to decimal: divide numerator by denominator. Decimal to fraction: write digits over the place-value denominator (e.g., 0.25 = 25/100 = 1/4), then simplify.
What is the formula for the average (arithmetic mean) of a set of numbers?
Average = (Sum of all observations)/(Number of observations). Sum = Average x Number of observations.
What is the median and how is it determined?
The median is the middle value of ordered data. For an odd count, it's the middle value; for an even count, it's the average of the two middle values.
What is the mode of a data set?
The mode is the value that appears most frequently. A data set may have no mode, one mode (unimodal), or more than one mode (bimodal/multimodal).
What is the empirical relationship between mean, median, and mode?
Mode = 3 x Median - 2 x Mean (approximate relationship for moderately skewed distributions).
How does the average change when a new observation is added to a set?
New average = (Old sum + new value)/(Old count + 1). Adding a value above the old average raises it; below lowers it.
What is the formula for permutations of n objects taken r at a time?
nPr = n!/(n-r)!. Permutations count ordered arrangements where order matters.
What is the formula for combinations of n objects taken r at a time?
nCr = n!/(r!(n-r)!). Combinations count selections where order does not matter.
What is the key difference between a permutation and a combination?
Permutation counts arrangements where order matters (e.g., rankings, passwords); combination counts selections where order does not matter (e.g., teams, committees).
What is the classical formula for the probability of an event?
P(E) = (Number of favorable outcomes)/(Total number of possible outcomes). Probability ranges from 0 (impossible) to 1 (certain).
What is the probability of the complement of an event E?
P(not E) = 1 - P(E). The probabilities of an event and its complement always sum to 1.
What is the addition rule of probability for two events?
P(A or B) = P(A) + P(B) - P(A and B). For mutually exclusive events, P(A and B) = 0, so P(A or B) = P(A) + P(B).
What is the multiplication rule for independent events?
For independent events, P(A and B) = P(A) x P(B). Independence means one event's occurrence does not affect the other's probability.
How do you solve a quantitative comparison problem comparing two quantities?
Compare Quantity A and Quantity B, deciding if A>B, B>A, they are equal, or the relationship cannot be determined. Simplify both, test boundary/extreme values, and avoid assumptions.
What are the essential components of the structure of an argument?
An argument consists of premises (supporting statements/reasons) and a conclusion (the claim the premises are meant to support). Indicators like 'therefore' signal conclusions; 'because' signals premises.
What is the difference between deductive and inductive arguments?
In a deductive argument, the conclusion necessarily follows from the premises (valid/invalid). In an inductive argument, premises make the conclusion probable, not certain (strong/weak).
What does it mean for a deductive argument to be valid versus sound?
Valid: if the premises are true, the conclusion must be true (correct logical form). Sound: the argument is valid AND all its premises are actually true.
What are the four standard categorical (A, E, I, O) propositions in syllogisms?
A = universal affirmative (All S are P); E = universal negative (No S is P); I = particular affirmative (Some S are P); O = particular negative (Some S are not P).
What is the 'mood' of a categorical syllogism?
The mood is the sequence of the types (A, E, I, O) of its two premises and conclusion (e.g., AAA, EIO). It identifies the proposition types in order.
What is the 'figure' of a categorical syllogism?
The figure is determined by the position of the middle term in the two premises. There are four figures based on whether the middle term is subject or predicate in each premise.
What distinguishes a formal fallacy from an informal fallacy?
A formal fallacy is an error in the logical structure/form of an argument (invalid form regardless of content). An informal fallacy is an error in content, language, or relevance rather than form.
What is the fallacy of 'ad hominem'?
An informal fallacy that attacks the person making an argument rather than addressing the argument itself, irrelevantly using personal characteristics to reject a claim.
What is the fallacy of 'affirming the consequent'?
A formal fallacy: from 'If P then Q' and 'Q', wrongly concluding 'P'. The truth of the consequent does not establish the antecedent.
What is the difference between denotation and connotation of a word?
Denotation is a word's literal, dictionary meaning. Connotation is the emotional, cultural, or implied association a word carries beyond its literal meaning (e.g., 'home' denotes a dwelling but connotes warmth).
What this deck covers
The Mathematical Reasoning and Aptitude deck follows the UGC NET Mathematical Reasoning and Aptitude syllabus — 5 chapters and 20 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 10.0 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 145 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Mathematical Reasoning and Aptitude flashcards FAQ
How many Mathematical Reasoning and Aptitude flashcards are in this UGC NET deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these UGC NET flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Mathematical Reasoning and Aptitude cards cover?
They follow the UGC NET Mathematical Reasoning and Aptitude syllabus — 5 chapters and 20 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.