GATE CSE 2019 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2019

Numerical

-0

Two numbers are chosen independently and uniformly at random from the set {1, 2, ...., 13}. The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is ______.

Your input ____

GATE CSE 2019

MCQ (Single Correct Answer)

-0.33

Let X be a square matrix. Consider the following two statements on X.

I. X is invertible.

II. Determinant of X is non-zero.

Which one of the following is TRUE?

I implies II; II does not imply I

II implies I; I does not imply II

I does not imply II; II does not imply I

I and II are equivalent statements

GATE CSE 2019

MCQ (Single Correct Answer)

-0.67

Let G be any connected, weighted, undirected graph.

I. G has a unique minimum spanning tree, if no two edges of G have the same weight.

II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimum-weight edge crossing the cut.

Which of the above two statements is/are TRUE?

I only

II only

Both I and II

Neither I nor II

GATE CSE 2019

Numerical

-0

Consider the following matrix :

$$ R=\left[\begin{array}{cccc} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{array}\right] $$

The absolute value of the product of Eigen values of $R$ is ___________.

Your input ____

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