PYQBOOK
Filter Questions
Found 475 question(s)
Q446
NAT
GATE
CS
Medium
1 Mark
2020
EM → Probability
Let R be the set of all binary relations on the set {1,2,3}. Suppose a relation is chosen from R at random. The probability that the chosen relation is reflexive (round off to 3 decimal places) is
Q447
NAT
GATE
CS
Hard
2 Marks
2020
EM → Probability
For n > 2, let a \in \{0,1\}^n be a non-zero vector. Suppose that x is chosen uniformly at random from \{0,1\}^n. Then, the probability that \Sigma_{i=1}^n a_i x_i is an odd number is
Q448
MCQ
GATE
CS
Medium
2 Marks
2020
EM → Linear Algebra
Let A and B be two n x n matrices over real numbers. Let rank(M) and det(M) denote the rank and determinant of a matrix M, respectively. Consider the following statements. I. rank(AB) = rank(A)rank(B) II. det(AB) = det(A)det(B) III. rank(A+B) <= rank(A) + rank(B) IV. det(A+B) <= det(A) + det(B). Which of the above statements are TRUE?
Q449
MCQ
GATE
CS
Medium
2 Marks
2020
EM → Linear Algebra
Let A and B be two n x n matrices over real numbers. Let rank(M) and det(M) denote the rank and determinant of a matrix M, respectively. Consider the following statements. I. rank(AB) = rank(A)rank(B) II. det(AB) = det(A)det(B) III. rank(A+B) <= rank(A) + rank(B) IV. det(A+B) <= det(A) + det(B). Which of the above statements are TRUE?
Q450
MCQ
GATE
CS
Easy
1 Mark
2020
GA → Verbal Aptitude