1
GATE PI 2004
+2
-0.6
A non standard thread of pitch $$3.175$$ $$mm$$ is to be cut on a lathe having lead screw of pitch $$6$$ $$mm.$$ A change gear set provided with the lathe has one gear each with the following number of teeth: $$20, 30, 40, 50, 60, 70, 80,$$ $$90, 100, 110, 120, 127.$$ The correct pairs of change gears $$\left( {a/b\,\,x\,\,c/d} \right)$$ for machining the given thread are (assuming that the transmission ratio of the rest of the kinematic train between the lathe spindle and lead screw is equal to
A
$${{127} \over {30}} \times {{20} \over {80}}$$
B
$${{127} \over {40}} \times {{20} \over {120}}$$
C
$${{127} \over {20}} \times {{30} \over {120}}$$
D
$${{127} \over {50}} \times {{30} \over {80}}$$
2
GATE PI 2004
+2
-0.6
A $$\phi$$ $$20$$ $$mm$$ through hole is to be drilled in a $$30$$ $$mm$$ thick plate using a double fluted, $${120^ \circ }$$ lip angle drill. The drill tip is at a distance of $$3$$ $$mm$$ from the plate surface when cutting is started and an over travel of $$2$$ $$mm$$ is recommended as a margin to ensure drilling through the full thickness of the plate. If the drill rotates at $$500$$ $$rev/min$$ and the feed per tooth is $$0.01$$ $$mm,$$ the machining time of the operation (in sec) will be
A
$$4.5$$
B
$$7.5$$
C
$$9$$
D
$$10.5$$
3
GATE PI 2004
+2
-0.6
Consider the following statements:

The helical flute in a twist drill provides the necessary
$$1.$$ Clearance angle for the cutting edge.
$$2.$$ Rake angle for the cutting edge.
$$3.$$ Space for the chip to come out during drilling.
$$4.$$ Guidance for the drill to enter into the work piece.

Which of the statements given above are correct?

A
$$1$$ and $$2$$
B
$$2$$ and $$3$$
C
$$3$$ and $$4$$
D
$$1$$ and $$4$$
4
GATE PI 2004
+2
-0.6
A
$$P - 2,\,\,Q - 3,\,\,R - 4,\,\,S - 1$$
B
$$P - 4,\,\,Q - 2,\,\,R - 3,\,\,S - 1$$
C
$$P - 1,\,\,Q - 2,\,\,R - 3,\,\,S - 4$$
D
$$P - 2,\,\,Q - 4,\,\,R - 1,\,\,S - 3$$
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