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BARC 2019: Industrial Engineering Nuclear Quiz-1

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Question 1

A vendor buys a product for 30 rupees a piece and sells it for 70 rupees a piece. He cannot return unsold products. The daily demand are as follow

 
If the demand for each day is independent of previous day’s demand, the optimum order quantity for each day will be

Question 2

In a PERT network, the estimates of times are as follow

What is the probability that activity will complete in 13 days
Use the following data:
For p(-2), z= 0.00275
For p(-1), z = 0.15866
For p(0), z = 0.5
For p(1), z = 0.84134
For p(2), z = 0.97725

Question 3

Two products A & B are manufactured by two machines. Capacity of machines are limited to 18 hours and 40 hours per week. The requirement for product A & B on each machinery from the table:


The profit from each unit of A & B is Rs. 30 and Rs. 20  per unit respectively. The optimum profit (in Rs) is ________?

Question 4

Consider the following LPP:
Min Z = −3X1 + 9X2
Subjected to constraint:
−X1 + 3X2 12,
X1 + X2 8,
X1 − X2 4,
X10, X20
From this one can concluded:

Question 5

Consider the following data and the corresponding statements:

I. case 1 has higher stability of sales
II. case 2 has higher stability of sales
III. case 1 has higher weightage to recent sales
IV. case 2 has higher weightage to recent sales
Which of the following statements is/are correct?

Question 6

A small project consists of the following activities and the respective duration of activities in days are also mentioned.

The total float and independent float for the activity 2-5 respectively are

Question 7

A firm produces a product whose fixed cost is Rs 20,000 and the variable cost is Rs 20 per unit. The break even production of firm is 4,000 units. The number units to be produced to earn profit of Rs 15,000 is

Question 8

Select the correct option from the following;
1) PERT is activity oriented & adopts probabilistic approach.
2) CPM is event oriented & adopts probabilistic approach.
3) CPM is activity oriented & adopts deterministic approach.

Question 9

The annual demand of an item is 1000 units. The ordering cost per order is 10 Rs. per order and inventory carrying cost is 15 % of the item price per year. The items price per unit is 15 Rs. There is a possibility of back order. The cost of back ordering is 20 % of the value of items. The maximum inventory level is closest to

Question 10

In a single-channel queuing model, the customer arrival rate is 12 per hour and the waiting time in queue is 2.5 minute. The proportion of time that a server actually spends with customers is
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