Previous Year Questions

Q286 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

A. If A and B are two invertible matrices, then (AB)^-1 = A^-1 B^-1. B. Every skew-symmetric matrix of odd order is invertible. C. If A is non-singular matrix, then (A^T)^-1 = (A^-1)^T. D. If A is an involutory matrix, then (I+A)(I-A)=0. E. A diagonal matrix is both an upper triangular and a lower triangular. Choose the correct answer from the options given below:

Choose One:

A) A, B, C, E only

B) B, D, E only

C) A, D, E only

D) C, D, E only

Q287 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

If every pair from among the equation x^2 + px + qr = 0, x^2 + qx + rp = 0 and x^2 + rx + pq = 0 has a common root, then the product of three common roots is

Choose One:

A) pqr

B) 2pqr

C) p^2 q^2 r^2

D) p^2 q r^2

Q288 MCQ CUET-PG COMPUTER SCIENCE (MCA) Medium 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

The H.P. of two numbers is 4 and the arithmatic mean A and geometric mean G satisfy the relation 2A + G^2 = 27 the numbers are

Choose One:

A) 6, 3

B) 5, 4

C) 5, -25

D) -3, 1

Q289 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

Given below are two statements: Statement I: If the roots of the quadratic equation x^2 - 4x - log_3(a) = 0 are real, then the least value of a is 1/81. Statement II: The harmonic mean of the roots of the equation (5 + sqrt(2))x^2 - (4 + sqrt(5))x + (8 + 2*sqrt(5)) = 0 is 2. 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

Q290 MCQ CUET-PG COMPUTER SCIENCE (MCA) Hard 4 Marks 2023 Shift-1

Discrete Mathematics → Functions

Match List I with List II: A. lim(x->0) (sin x / x)^((sin x) / (x - sin x)); B. lim(x->0) integral(0 to x) (sin t^2 dt) / x^2; C. lim(x->0) (e^2x + x)^(1/x); D. lim(x->a) log(x-a) / log(e^x - e^a) with I. 3, II. 0, III. 1, IV. e^-1.

Choose One:

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

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

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

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

PYQBOOK

Filter Questions

Choose One:

If every pair from among the equation x^2 + px + qr = 0, x^2 + qx + rp = 0 and x^2 + rx + pq = 0 has a common root, then the product of three common roots is

Choose One:

The H.P. of two numbers is 4 and the arithmatic mean A and geometric mean G satisfy the relation 2A + G^2 = 27 the numbers are

Choose One:

Choose One:

Match List I with List II: A. lim(x->0) (sin x / x)^((sin x) / (x - sin x)); B. lim(x->0) integral(0 to x) (sin t^2 dt) / x^2; C. lim(x->0) (e^2x + x)^(1/x); D. lim(x->a) log(x-a) / log(e^x - e^a) with I. 3, II. 0, III. 1, IV. e^-1.

Choose One: