03-21-2018, 01:50 PM

GATE 2018 Mathematics (MA) solved Question Paper

1.For a linear programming problem, which one of the following statements is FALSE?

(A) If a constraint is an equality, then the corresponding dual variable is unrestricted in sign

(B) Both primal and its dual can be infeasible

© If primal is unbounded, then its dual is infeasible

(D) Even if both primal and dual are feasible, the optimal values of the primal and the dual

can differ

2. Let X denote R2 endowed with the usual topology. Let Y denote R endowed with the co-finite

topology. If Z is the product topological space Y × Y, then

(A) the topology of X is the same as the topology of Z

(B) the topology of X is strictly coarser (weaker) than that of Z

© the topology of Z is strictly coarser (weaker) than that of X

(D) the topology of X cannot be compared with that of Z

3.Which one of the following statements is true?

(A) Every group of order 12 has a non-trivial proper normal subgroup

(B) Some group of order 12 does not have a non-trivial proper normal subgroup

© Every group of order 12 has a subgroup of order 6

(D) Every group of order 12 has an element of order 12

Detailed GATE 2018 Mathematics (MA) Question Paper and answer can be downloaded from the link attached

1.For a linear programming problem, which one of the following statements is FALSE?

(A) If a constraint is an equality, then the corresponding dual variable is unrestricted in sign

(B) Both primal and its dual can be infeasible

© If primal is unbounded, then its dual is infeasible

(D) Even if both primal and dual are feasible, the optimal values of the primal and the dual

can differ

2. Let X denote R2 endowed with the usual topology. Let Y denote R endowed with the co-finite

topology. If Z is the product topological space Y × Y, then

(A) the topology of X is the same as the topology of Z

(B) the topology of X is strictly coarser (weaker) than that of Z

© the topology of Z is strictly coarser (weaker) than that of X

(D) the topology of X cannot be compared with that of Z

3.Which one of the following statements is true?

(A) Every group of order 12 has a non-trivial proper normal subgroup

(B) Some group of order 12 does not have a non-trivial proper normal subgroup

© Every group of order 12 has a subgroup of order 6

(D) Every group of order 12 has an element of order 12

Detailed GATE 2018 Mathematics (MA) Question Paper and answer can be downloaded from the link attached