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. Â 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. Â 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