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CIL MT · Computer Science

Discrete Mathematics Previous Year Questions

10 Discrete Mathematics (Computer Science) questions asked in CIL MT previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Other Computer Science topics

Data Structures 56DBMS & SQL 53Theory of Computation & Compilers 27Digital Logic & Number Systems 26Computer Networks 22Operating Systems 21Algorithms 16Computer Organization & Architecture 16Programming in C/C++ 11
Q1CIL MT Systems, 24 Aug 2026 (3:00 PM, CBT-26)
Consider a finite state transducer (FST) with Q = {q₀, q₁}, Σ = {0, 1}, Γ = {a, b, c}, initial state q₀, and the following transitions: δ(q₀, 0) = q₁, δ(q₀, 1) = q₀ δ(q₁, 0) = q₀, δ(q₁, 1) = q₁ and output function: θ(q₀, 0) = a, θ(q₀, 1) = c θ(q₁, 0) = b, θ(q₁, 1) = a What will be the output string for the input 1010?
  1. Aacab
  2. Babac
  3. Ccaab
  4. Dcaba
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Correct answer: (C) caab

Q2CIL MT Systems, 24 Aug 2026 (3:00 PM, CBT-26)
Which of the following statements is true regarding the differentiability of a function at a point?
  1. AA function is differentiable at a point only if its derivative is infinite there.
  2. BA function must be differentiable everywhere to be continuous at a point.
  3. CA function may be discontinuous at a point and still be differentiable there.
  4. DA function must be continuous at that point to be differentiable there.
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Correct answer: (D) A function must be continuous at that point to be differentiable there.

Q3CIL MT Systems, 24 Aug 2026 (3:00 PM, CBT-26)
Which one of the following statements is true for a Hermitian matrix?
  1. ASum of diagonal elements is zero
  2. BAll diagonal elements are real numbers
  3. CAll elements are positive numbers
  4. DAll entries are real numbers
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Correct answer: (B) All diagonal elements are real numbers

Q4CIL MT Systems, 24 Aug 2026 (3:00 PM, CBT-26)
Which of the following correctly represents the cofactor expansion of a 3x3 determinant along the first row?
  1. ASum of only diagonal elements times their cofactors
  2. BSum of each element of the first row times its corresponding cofactor
  3. CDifference of elements of the first row and their cofactors
  4. DSum of elements of the first column times their cofactors
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Correct answer: (B) Sum of each element of the first row times its corresponding cofactor

Q5CIL MT Systems, 24 Aug 2026 (3:00 PM, CBT-26)
What is the primary function of a Finite State Machine (FSM) simulator?
  1. ATo transform FSMs directly into digital circuit layouts
  2. BTo reduce the number of states in FSMs without running them
  3. CTo convert FSMs into executable machine-level programs
  4. DTo visually or textually test and analyze FSM behavior based on inputs and transitions
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Correct answer: (D) To visually or textually test and analyze FSM behavior based on inputs and transitions

Q6CIL MT Systems, 24 Aug 2026 (3:00 PM, CBT-26)
A graduate student wants to find the likelihood of passing a Statistics exam, given that they attended all lectures. Which formula should the student use to determine the probability of passing given attendance?
  1. AThe formula P(Attend|Pass) = P(Pass and Attend) divided by P(Pass) is appropriate.
  2. BThe formula P(Pass) plus P(Attend) is appropriate for this scenario.
  3. CThe formula P(Pass) times P(Attend) is appropriate for this scenario.
  4. DThe formula P(Pass|Attend) = P(Pass and Attend) divided by P(Attend) is appropriate.
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Correct answer: (D) The formula P(Pass|Attend) = P(Pass and Attend) divided by P(Attend) is appropriate.

Q7CIL MT Systems, 26 Mar 2017 (12:30 PM)
Which of the following file-type arguments is used in fopen() library function to open a new file for both reading and writing, and destroys the file if a file with the specified file-name already exists in the current directory?
  1. A"w"
  2. B"w+"
  3. C"a+"
  4. D"r+"
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Correct answer: (B) "w+"

Q8CIL MT Systems, 26 Mar 2017 (12:30 PM)
Which of the following does not represent the total number of multiplications for multiplying four matrices of orders 20 × 2, 2 × 30, 30 × 12 and 12 × 8?
  1. A1232
  2. B3680
  3. C10320
  4. D8850
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Correct answer: (D) 8850

Q9CIL MT Systems, 27 Feb 2020 (8:00 AM)
Consider the following recursive function. int function (int x, int y) { if (y <= 0) return x; return function (y, x%y); } The above recursive function computes _______.
  1. AGCD of x and y
  2. Bx to the power y
  3. Cy to the power x
  4. DHCF of x and y
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Correct answer: (A) GCD of x and y

Q10CIL MT Systems, 27 Feb 2020 (8:00 AM)
Canonical SOP form of logic expression consists of only _______.
  1. AMaxterms
  2. BLaterals
  3. CCell
  4. DMinterms
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Correct answer: (D) Minterms

How to use these CIL MT Computer Science questions

Every question here was asked in a real CIL MT paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full CIL MT papers as timed tests to check your speed under exam conditions.

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