Q: Which of the following statements about functions and mappings are correct?
(A) A function from set A to set B assigns each element of A to exactly one element of B;
(B) A many-one function can map different elements of A to the same element of B;
(C) An onto (surjective) function has every element of B as the image of at least one element of A;
(D) A function that is both one-one and onto is called a bijection;
(E) For a mapping to be a function, every element of B must have a pre-image in A;
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Q: Which of the following statements about alignment of instructional objectives and evaluation are correct?
(A) Evaluation should be aligned with the instructional objectives specified for a course;
(B) If objectives focus on higher-order thinking, evaluation should include tasks beyond recall;
(C) Misalignment between objectives and evaluation can distort the picture of student achievement;
(D) It is acceptable to test only recall even when objectives emphasise analysis and synthesis;
(E) Clear alignment helps learners understand expectations and prepare appropriately;
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Q: Which of the following statements about svārthānumāna and parārthānumāna in Indian logic are correct?
(A) Svārthānumāna in Indian logic is inference for oneself, used internally in one’s own thinking;
(B) Parārthānumāna is inference for others, articulated in a formal five-member syllogism;
(C) In parārthānumāna, stating the vyāpti through an example helps convince the listener;
(D) Nyaya completely denies the possibility of svārthānumāna and recognises only parārthānumāna;
(E) UGC NET questions may ask candidates to distinguish between these two modes of inference;
(F) Parārthānumāna always requires exactly three members and never more;
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Q: Which of the following statements about rules for valid categorical syllogisms are correct?
(A) In a valid categorical syllogism, there must be exactly three distinct terms;
(B) If either premise is negative, then the conclusion must also be negative;
(C) Two particular premises cannot yield a valid conclusion in classical syllogistic logic;
(D) From two universal premises, it is never possible to derive any valid conclusion;
(E) A valid syllogism cannot have a conclusion that distributes a term which was undistributed in both premises;
(F) In UGC NET, Venn diagrams may be used to check whether a syllogism follows these rules;
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Q: Which of the following statements about databases and Database Management Systems (DBMS) are correct?
(A) A database is an organised collection of related data stored in a structured form;
(B) A DBMS provides tools to define, manipulate and control access to data in a database;
(C) In a relational database, data are stored in tables consisting of rows and columns;
(D) A DBMS is only a hardware device used to store printed documents in cupboards;
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