Question 91. In orthogonal turning of a bar of 100 mm diameter with a feed of 0.25 mm/rev, depth of cut of 4 mm and
cutting velocity of 90 m/min, it is observed that the main (tangential) cutting force is perpendicular to the
friction force acting at the chip-tool interface. The main (tangential) cutting force is 1500 N. The orthogonal rake angle of the cutting tool in degree is

Question 92. Choose the CORRECT set of functions, which are linearly dependent.

Question 93. Let X be a normal random variable with mean 1 and variance 4. The probability P{X

Question 94. The eigenvalues of a symmetric matrix are all

Question 95. A company manufactures 1000 toys every day. On an average, 10% of the toys are defective and
40% of the defective toys can be reworked into defect-free ones. The average number of defect-free
toys manufactured daily is

Question 96. Which one of the following is modeled based on adaptation capabilities of biological systems?

Question 97. The type of control chart used to monitor the amount of dispersion in a sample is

Question 98. In simple exponential smoothing forecasting, to give higher weightage to recent demand
information, the smoothing constant must be close to

Question 99. A manufacturer produces bars designed to be of 10 mm diameter with a tolerance of ±0.1 mm.
Historical data indicates that manufactured bars have an average diameter of 9.98 mm with a
standard deviation of 0.15 mm. The process capability index is

Question 100. During the electrochemical machining (ECM) of iron (atomic weight = 56, valency = 2) at current
of 1000 A with 90% current efficiency, the material removal rate was observed to be 0.26 gm/s. If
Titanium (atomic weight = 48, valency = 3) is machined by the ECM process at the current of
2000 A with 90% current efficiency, the expected material removal rate in gm/s will be