Previous Year Questions

Q231 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-2

Discrete Mathematics → Propositional logic

Assertion (A): If the equation x^{2}+px+q=0 has rational roots and p and q are integers, then the roots are integers. Reasons (R): A quadratic equation has rational roots if and only if its discriminant is a perfect square of a rational number.

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

Q232 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-2

Discrete Mathematics → Combinatorics

If 2u=5x, is the relation between two variables u and x, and harmonic means of x is 0.8, find the harmonic mean of u.

Choose One:

A) 1.250

B) 1.500

C) 2

D) 0.32

Q233 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-2

Discrete Mathematics → Combinatorics

Assertion (A): Sum of n terms of series 1^2 + 3^2 + 5^2 + ... to n terms is (n/3)(4n^2 - 1). Reasons (R): Sum of the squares of first n natural numbers 1^2, 2^2, 3^2, ... n^2 is n(n+1)(2n+1)/6.

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

Q234 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-2

Discrete Mathematics → Combinatorics

If a, b, c, d are in Harmonic progression then (A) a+d > b+c (B) a+c = b+d (C) ad > bc (D) a^n + c^n > 2b^n (E) a+d < b+c

Choose One:

A) (A), (C) and (E) only

B) (A), (B) and (C) only

C) (A), (C) and (D) only

D) (C), (D) and (E) only

Q235 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-2

Discrete Mathematics → Combinatorics

The variance of a series of numbers 2, 3, 11 and x is 12.25. Find the value of x.

Choose One:

A) 6 or 14/3

B) 4 or 16/3

C) 6 or 16/3

D) 4 or 14/3

PYQBOOK

Filter Questions

Assertion (A): If the equation x^{2}+px+q=0 has rational roots and p and q are integers, then the roots are integers. Reasons (R): A quadratic equation has rational roots if and only if its discriminant is a perfect square of a rational number.

Choose One:

If 2u=5x, is the relation between two variables u and x, and harmonic means of x is 0.8, find the harmonic mean of u.

Choose One:

Assertion (A): Sum of n terms of series 1^2 + 3^2 + 5^2 + ... to n terms is (n/3)(4n^2 - 1). Reasons (R): Sum of the squares of first n natural numbers 1^2, 2^2, 3^2, ... n^2 is n(n+1)(2n+1)/6.

Choose One:

If a, b, c, d are in Harmonic progression then (A) a+d > b+c (B) a+c = b+d (C) ad > bc (D) a^n + c^n > 2b^n (E) a+d < b+c

Choose One:

The variance of a series of numbers 2, 3, 11 and x is 12.25. Find the value of x.

Choose One: