1
GATE PI 2005
+2
-0.6
Consider the following statements
$$1.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ As the cutting speed increases, the cost of production initially reduces, then
$$\,\,\,\,\,\,\,\,\,\,\,\,$$after an optimum cutting speed it increases.
$$2.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ As the cutting speed increases the cost of production also increases and
$$\,\,\,\,\,\,\,\,\,\,\,\,$$after a critical value to it reduces.
$$3.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ Higher feed rate for the same cutting speed reduces cost of production.
$$4.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ Higher feed rate for the same cutting speed increases the cost of production

Which of the statements given above are correct?

A
$$1$$ and $$3$$
B
$$2$$ and $$3$$
C
$$1$$ and $$4$$
D
$$3$$ only
2
GATE PI 2005
+2
-0.6
Match List - $${\rm I}$$ (Cutting tool materials) with List - $${\rm I}$$$${\rm I}$$ (Manufacturing methods) and select the correct answer using the codes given below the lists:
A
$$A - 3,\,\,B - 1,\,\,C - 5,\,\,D - 2$$
B
$$A - 2,\,\,B - 5,\,\,C - 4,\,\,D - 3$$
C
$$A - 3,\,\,B - 5,\,\,C - 4,\,\,D - 2$$
D
$$A - 2,\,\,B - 1,\,\,C - 5,\,\,D - 3$$
3
GATE PI 2005
+2
-0.6
A batch of $$500$$ jobs of diameter $$50$$ $$mm$$ and length $$100$$ $$mm$$ is to be turned at $$200$$ $$rev/min$$ and feed $$0.2$$ $$mm/rev.$$

Applying Taylor's equation $$V{T^{0.25}} = 160,$$ the tool life in minutes is

A
$$20.36$$
B
$$22.43$$
C
$$674$$
D
$$28.20$$
4
GATE PI 2005
+2
-0.6
A batch of $$500$$ jobs of diameter $$50$$ $$mm$$ and length $$100$$ $$mm$$ is to be turned at $$200$$ $$rev/min$$ and feed $$0.2$$ $$mm/rev.$$

The number of components per tool life

A
$$138$$
B
$$270$$
C
$$62$$
D
$$61$$
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