Previous Year Questions

Q311 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Combinatorics

Assertion A: An elevator starts with m passengers and stops at n floors (m <= n). The probability that no two passengers alight at the same floor is nPm / n^m. Reason R: If (n+1)p is an integer, say m, then P(x=r) = nCr p^r (1-p)^(n-r) is maximum when r=m or r=m-1.

Choose One:

A) Both A and R are correct and R is the correct explanation of A

B) Both A and R are correct but R is not the correct explanation of A

C) A is correct but R is not correct

D) A is not correct but R is correct

Q312 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Combinatorics

A person goes in for an examination in which there are four papers with a maximum of m marks from each paper. The number of ways in which one can get 2m marks is

Choose One:

A) 1/3 (m+1)(2m^2+4m+1)

B) 1/3 (m+1)(2m^2+4m+2)

C) 1/3 (m+1)(2m^2+4m+3)

D) (2m+3)C3

Q313 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Combinatorics

Statement I: The number of different number each of 6 digits that can be formed by using all the digits 1, 2, 1, 0, 2, 2 is 50. Statement II: These are 4536 possibilities of writing the four digit numbers which have all distinct digits. In the light of the above statements, choose the correct answer from the options given below:

Choose One:

A) Both Statement I and Statement II are true

B) Both Statement I and Statement II are false

C) Statement I is true but Statement II is false

D) Statement I is false but Statement II is true

Q314 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Combinatorics

Match List I with List II: A. No. of triangles formed using 5 points in a line and 3 points on parallel line is: I. 20; B. No. of diagonals drawn using the vertices of an octagon: II. 10; C. The no. of diagonals in a regular polygon of 100 sides is: III. 45; D. A polygon with 35 diagonals has sides: IV. 4850.

Choose One:

A) A-I, B-II, C-III, D-IV

B) A-II, B-III, C-I, D-IV

C) A-III, B-I, C-IV, D-II

D) A-III, B-IV, C-I, D-II

Q315 MCQ CUET-PG COMPUTER SCIENCE (MCA) Easy 4 Marks 2023 Shift-1

Discrete Mathematics → Combinatorics

Assertion A: The number of parallelograms in a chess board is 1296. Reason R: The number of parallelograms when a set of m parallel lines is intersected by another set of n parallel lines is mC2 * nC2.

Choose One:

A) Both A and R are true and R is the correct explanation of A

B) Both A and R are true but R is not the correct explanation of A

C) A is true but R is false

D) A is false but R is true

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Filter Questions

Assertion A: An elevator starts with m passengers and stops at n floors (m <= n). The probability that no two passengers alight at the same floor is nPm / n^m. Reason R: If (n+1)p is an integer, say m, then P(x=r) = nCr p^r (1-p)^(n-r) is maximum when r=m or r=m-1.

Choose One:

A person goes in for an examination in which there are four papers with a maximum of m marks from each paper. The number of ways in which one can get 2m marks is

Choose One:

Choose One:

Choose One:

Assertion A: The number of parallelograms in a chess board is 1296. Reason R: The number of parallelograms when a set of m parallel lines is intersected by another set of n parallel lines is mC2 * nC2.

Choose One: