Indian Institute of Technology Madras (IIT-M) 2003 M.Tech Mechanical Engineering mechanical engg-gate - Question Paper

(d) 13
62. A part shown in the figure is machined to the sizes provided beneath
P = 35.00±0.08mm
Q = 12.00±0.02mm
R = 13.00%mm
With 100% confidence, the resulting dimension W will have the specification
(a) 9.99±0.03mm
(b) 9.99±0.13mm
(c) 10.00±0.03mm
(d) 10.00±0.13mm
63. 2 machines of the identical production rate are available for use. On machine 1, the fixed
cost is Rs.100 and the variable cost is Rs.2 per piece produced. The corresponding numbers
for the machine two are Rs.200 and Re.1 respectively. The sale price of the 1st 800 units is
Rs.3.50 per unit and subsequently it is only Rs.3.00. The breakeven production rate for every
machine is
(a) 75
(b) 100

(c) 150
(d) 600
64. A residential school stipulates the study hours as 8.00 pm to 10.30 pm. Warden makes
random checks on a certain learner 11 occasions a day during the study hours over a period
of 10 days and observes that he is studying on 71 occasions. Using 95% confidence interval,
the estimated minimum hours of his study during that 10 day period is
(a) 8.5 hours
(b) 13.9 hours
(c) 16.1 hours
(d) 18.4 hours
65. The sale of cycles in a shop in 4 consecutive months are provided as 70, 68, 82
95. Exponentially smoothing avg. method with a smoothing factor of 0.4 is used in
forecasting. The expected number of sales in the next month is
(a) 59
(b) 72
(c) 86
(d) 136
66. Market demand for springs is 8,00,000 per annum. A company purchases these springs in
lots and sells them. The cost of making a purchase order is Rs.1,200. The cost of storage of
springs •is Rs.120 per stored piece per annum. The economic order volume is
(a) 400
(b) 2,828
(c) 4,000
(d) 8,000
67. A manufacturer produces 2 kinds of products, one and 2, at production levels of x1 and x2
respectively. The profit is provided is 2x1 +5x2.The production constraints are
x1 + 3x2 <40
3x1 + x2 < 24
x1 + x2 < 10
x1 > 0,x2 >0
The maximum profit which can meet the constraints is
(a) 29
(b) 38
(c) 44
(d) 75
68. A project consists of activities A to M shown in the net in the subsequent figure with the

Earning:   Approval pending.