Reasoning & Math: Thinking, Sets, Probability

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Questions and Answers

Which data structure is most suitable for implementing a priority queue?

  • Stack
  • Heap (correct)
  • Linked List
  • Binary Search Tree

Which of the following is the primary function of the operating system's CPU scheduler?

  • Control network communications
  • Manage memory allocation for processes
  • Handle file system operations
  • Allocate CPU time to different processes (correct)

In the context of operating systems, what is the purpose of 'Interprocess Communication' (IPC)?

  • Enabling processes to exchange data (correct)
  • Handling memory allocation
  • Managing hardware interrupts
  • Allocating CPU time to processes

What is the primary goal of the Banker's Algorithm in operating systems?

<p>To prevent deadlocks (D)</p> Signup and view all the answers

Which of the following is NOT a characteristic of a B+ tree?

<p>Internal nodes contain data pointers. (D)</p> Signup and view all the answers

Which of the following is directly addressed by 'Map Simplification' (Karnaugh Maps) in digital logic design?

<p>Reducing the number of logic gates in a circuit (A)</p> Signup and view all the answers

Which number system uses only two digits, 0 and 1?

<p>Binary (D)</p> Signup and view all the answers

What is the purpose of using 'Complements' in digital arithmetic?

<p>To perform subtraction using addition. (B)</p> Signup and view all the answers

What is the purpose of normalization in floating-point representation?

<p>To improve the precision of the representation. (B)</p> Signup and view all the answers

In coordinate geometry, which type of conic section is described by the equation $x^2/a^2 + y^2/b^2 = 1$, where $a$ and $b$ are positive constants?

<p>Ellipse (D)</p> Signup and view all the answers

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Flashcards

Thinking and Decision Making

Creative thinking, verbal reasoning, finding patterns, and figure assessment.

Geometrical Designs

Identification of relationships within geometrical designs

Odd Item Identification

Determining discrepancies using patterns and logic.

Algebra definition

Basic operations, expansions, and equation solving.

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Coordinate Geometry

Rectangular coordinates, distance formula, and line equations.

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Operating System Functions

Processes, threads, synchronization. Memory and file management.

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Data Structure

Arrays, stacks, queues, linked lists, trees, graphs, and sorting.

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Number Systems

Representing data in binary, decimal, and hexadecimal formats.

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Digital Logic

Logic gates, Boolean algebra, and circuit design.

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Probability and Statistics

Counting permutations and combinations, basics of probability.

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Study Notes

  • The question paper will consist of 75 questions.
  • All questions will be based on subject-specific knowledge.
  • All questions are compulsory.
  • The questions will be bilingual (English/Hindi).

Thinking and Decision Making Topics

  • Includes creative thinking, verbal reasoning, and pattern recognition to assess figures & diagrams.
  • Requires identifying geometrical designs.
  • Involves selecting related letters, words, numbers, and figures.
  • Requires identifying the odd item in a group.
  • Focuses on completing numerical series based on logic and patterns.
  • Includes filling in blanks in series using numerical patterns and logic.
  • Covers logic-based questions (syllogisms) requiring logic identification

Mathematics Topics

  • Set Theory: covers concepts like union, intersection, cardinality, permutations, and combinations.
  • Probability and Statistics: Includes basic concepts of probability theory such as averages, dependent and independent events, frequency distributions, measures of central tendencies, and dispersions.
  • Algebra: Covers fundamental operations, expansions, factorization, simultaneous linear/quadratic equations, indices, logarithms, arithmetic, geometric, & harmonic progressions, determinants, and matrices.
  • Coordinate Geometry: Includes rectangular Cartesian coordinates, distance formulae, equations of lines, intersection of lines, equations of circles, parabolas, ellipses, and hyperbolas.
  • Calculus: Topics include limits of functions, continuous functions, differentiation, tangents, normals, maxima/minima problems, integration by parts, substitution, partial fractions, definite integrals, and applications to areas.

Computer Topics

  • Operating System: Main functions of operating systems, Processes, Threads, Interprocess communication, concurrency, Synchronization, Deadlock, CPU scheduling, I/O scheduling, Resource scheduling. Deadlock and scheduling algorithms, banker's algorithm for deadlock handling. Memory management and virtual memory. File Systems, I/O systems, DOS, UNIX and Windows.
  • Data Structure: Includes arrays and their applications, sparse matrices, stacks, queues, priority queues, linked lists, trees, forests, binary trees, threaded binary trees, binary search trees, AVL trees, B trees, B+ trees, B* trees, data structures for sets, graphs, sorting and searching algorithms, hashing, functions, recursion, and parameter passing.
  • Digital Fundamentals: Data types, number systems and conversion, complements, fixed point representation, floating point representation, error detection codes, computer arithmetic (addition, subtraction, multiplication, division algorithms), digital computers, logic gates, Boolean algebra, map simplifications, combinational circuits, flip-flops, sequential circuits, integrated circuits, decoders, multiplexers, registers, counters, and memory unit.

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