1
GATE ME 2016 Set 1
Numerical
+2
-0
The annual demand for an item is $$10,000$$ units. The unit cost is Rs. $$100$$ and inventory carrying charges are $$14.4\% $$ of the unit cost per annum. The cost of one procurement is Rs. $$2000.$$ The time between two consecutive orders to meet the above demand is _______ month(s).
Your input ____
2
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Maximize $$\,\,\,\,Z = 15{x_1} + 20{x_2}$$
Subject to
$$\eqalign{ & 12{x_1} + 4{x_2} \ge 36 \cr & 12{x_1} - 6{x_2} \le 24 \cr & \,\,\,\,\,\,\,\,\,{x_1},\,\,{x_2} \ge 0 \cr} $$

The above linear programming problem has

A
infeasible solution
B
unbounded solution
C
alternative optimum solutions
D
degenerate solution
3
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The principal stresses at a point inside a solid object are $${\sigma _1} = 100\,\,MPa,\,\,{\sigma _2} = 100\,\,MPa$$ and $${\sigma _3} = 0\,\,MPa.$$ The yield strength of the material is $$200$$ $$MPa.$$ The factor of safety calculated using Tresca (maximum shear stress) theory is $${n_T}$$ and the factor of safety calculated using Von Mises (maximum distortional energy) theory is $${n_V}$$. Which one of the following relations is TRUE?
A
$${n_T} = \left( {{{\sqrt 3 } \over 2}} \right){n_V}$$
B
$${n_T} = \left( {\sqrt 3 } \right){n_V}$$
C
$${n_T} = {n_V}$$
D
$${n_V} = \left( {\sqrt 3 } \right){n_T}$$
4
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The part of a gating system which regulates the rate of pouring of molten metal is
A
pouring basin
B
runner
C
choke
D
ingate
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