GATE PI 2026 Paper 1 — page 19

Complete GATE PI 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 19 of 22

A cylindrical metal component of 10 mm diameter is subjected to uniform uniaxial tension during operation. It was observed that a force of 14 kN produces a uniform reduction of

mm in diameter. Assume that material behaviour is homogeneous, isotropic, and linear elastic.

If its Young’s modulus is 150 GPa, the Poisson’s ratio of the material is _____ (rounded off to two decimal places).

Note: Assume

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A custom pinion, with a width equal to 10 times the module, has 20 full depth teeth and a pressure angle of 20° is being designed. It should transmit a torque of 95 N-m to a corresponding spur gear.

Considering the safe bending stress to be 180 MPa and form factor to be 0.32, the module of the pinion is _____ mm (rounded off to one decimal place).

Note: The Lewis equation gives the tangential force as

, where

is the safe bending stress,

the width,

the form factor, and

the module.

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A company has a fixed cost of INR 3,00,000 and a variable cost of INR 150 per unit for manufacturing of a product. The company sells 5,000 units of that product making a profit equivalent to 20% of the total sales revenue.

The break-even quantity for that product is _____ units (rounded off to the nearest integer).

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2026 · Paper 1

Question 55

Question 56

Question 57