GATE MN Systems Engineering PYQs & Answers — Page 2

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Questions 11–20 of 38. Imported answers require independent review unless marked reviewed.

Topic practice 38 questionsPage 2 of 4

The reliability function of a pump is given as

, where t stands for time in years. If the pump comes with a six-month warranty, the number of years for the pump to attain a reliability of 0.9 is _____.

[rounded off to 2 decimal places]

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A coal company has three mines which transport coal to four washeries. The daily production from each mine, the demand at each washery and unit transportation cost from each mine to each washery are given in table

Mine	W1	W2	W3	W4	Supply (tonnes/day)
M1	19	30	50	10	700
M2	70	30	40	60	900
M3	40	8	70	20	1800
Demand (tonnes/day)	500	800	700	1400

The cost of initial basic feasible solution using Vogel’s approximation method is _____.

[rounded off to 1 decimal place]

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A workship has four tasks and equal number of machines to perform the tasks. Each of the machines can perform only one of the four tasks. The estimated cost at each of the machines to complete each task is given in table

| MACHINE | T1 | T2 | T3 | T4 | |---|---:|---:|---:|---:|---:| | M1 | 10 | 40 | 60 | 30 | | M2 | 90 | 70 | 100 | 90 | | M3 | 40 | 50 | 110 | 70 | | M4 | 80 | 70 | 80 | 50 |

The total cost of optimal assignment is_____.

[rounded off to 1 decimal place]

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A safety device consists of two independent critical components

and

. The failure of any one or both of these components can cause an accident. The failure probabilities of components

and

are 0.2 and 0.1, respectively. The probability of occurrence of an accident is ______. (round off to two decimal places)

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A coal mining company examines the option of buying two types of dumpers with the following details.

Parameter	Type-1	Type-2	Constraints
Capital cost per dumper (in ₹ crore)	3.0	4.0	Maximum capital available for purchasing is ₹120 crore
Capacity in tonne	40	50	Minimum daily tonne to be hauled is 31,000
Daily trips for each dumper	20	20
Operating cost (in ₹) per tonne	300.0	200.0

In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are

Your answerChoose one option.

20, 15

0, 30

0, 31

40, 0

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Information on Activity-Time duration of a project is provided below

Activity	Predecessor event	Successor event	Pessimistic	Most likely	Optimistic
A	1	2	20	15	4
B	1	3	12	8	4
C	2	3	16	11	6
D	3	4	20	13	12
E	2	4	13	8	3
F	1	4	45	35	25

The expected project duration in weeks, is ______. (in integer)

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A system consists of four components connected functionally in a parallel configuration. The reliability of the individual components is 0.40, 0.60, 0.50 and 0.40. The system reliability, is________. [round off to 3 decimal places]

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A project network consists of the following activities.

Activity	Immediate predecessors	Duration (days)
A	--	3
B	--	4
C	A, B	5
D	B	6
E	D	7
F	C, E	8
G	D	9
H	F, G	X

If the project completion time is 30 days, then the value of ‘X’, in days, is ______. [in integer]

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Rate of fuel consumption

(litres per hour) of a truck varies with truck speed

, (kmph) as given below

The fuel price is Rs. 70 per litre. Other costs amount to Rs. 500 per hour. If the truck travels 100 km from a coal mine to a thermal plant, the speed of the truck, in kmph, that minimizes the total cost is ______. [round off to one decimal place]

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A cement company has three factories which transport cement to four distribution centres. The daily production of each factory, the demand at each distribution centre, and the associated transportation cost per tonne from factory to distribution centre are given in the Table.

Factory	D₁	D₂	D₃	D₄	Supply (tonnes/day)
F₁	20	30	110	70	600
F₂	10	0	60	10	100
F₃	50	80	150	90	1000
Demand (tonnes/day)	700	500	300	200

The initial basic feasible solution using the least-cost rule is ______. [in integer]

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GATE MN Systems Engineering PYQs

Question 54

Question 57

Question 58

Question 30

Question 41

Question 65

Question 24

Question 50

Question 51

Question 52