Complete GATE MT 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 22 of 22

Question 64

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MTNAT2 marksNeeds review
A cylindrical Al alloy billet of 300 mm diameter is hot extruded to produce a cylindrical rod of 75 mm diameter at a constant true strain rate (

) of

. The flow stress (

) of the alloy at the extrusion temperature is given by

.
Assume the alloy is perfectly plastic and there is no temperature rise during the extrusion process.
The ideal plastic work of deformation per unit volume is _____

(rounded off to one decimal place).

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Question 65

Open question
MTNAT2 marksNeeds review
Two consecutive estimates of the root of a function

obtained using the Newton-Raphson method are

and

, and the value of the function at

is 15.
The numerical value of first derivative of the function evaluated at

is _____ (in integer).

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