Previous Year Questions

Q236 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

Q237 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

Q238 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

Q239 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-2

Discrete Mathematics → Combinatorics

Which of the following assertions are correct? (A) Adding 7 to each entry in a list adds 7 to the mean of the list. (B) Adding 7 to each entry in a list adds 7 to the standard deviation of the list. (C) Doubling each entry in a list doubles the mean of the list. (D) Doubling each entry in a list leaves the standard deviation of the list unchanged.

Choose One:

A) (A) and (B) only

B) (B) and (C) only

C) (A) and (C) only

D) (C) and (D) only

Q240 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-2

Discrete Mathematics → Combinatorics

If A, G, H be respectively, the A.M., G.M., and H.M. of three positive numbers a, b, c; then the equation whose roots are these numbers is given by

Choose One:

A) x^{3}-3Ax^{2}+G^{3}(3x-1)=0

B) x^{3}-3Ax^{2}+3(G^{3}/H)x-G^{3}=0

C) x^{3}+3Ax^{2}+3[G^{3}/H]x-G^{3}=0

D) x^{3}-3Ax^{2}-3(G^{3}/H)x+G^{3}=0

PYQBOOK

Filter Questions

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 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:

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

Choose One:

Choose One:

If A, G, H be respectively, the A.M., G.M., and H.M. of three positive numbers a, b, c; then the equation whose roots are these numbers is given by

Choose One: