GATE PI 2026 Paper 1 — page 11

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

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 11 of 22

A box in a machine shop consists of 5 coated and 10 uncoated cutting inserts which are of otherwise similar characters. The inserts got mixed up randomly in the box. An operator has taken 4 of them at once without noticing the differences to mount on a 4-tooth face milling cutter that uses inserts.

The probability of the milling cutter having all uncoated inserts is _____ (rounded off to two decimal places).

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A customer has made a lump sum investment of INR 2,00,000 with a bank. The discount rate is 15% per year. The investment enables the customer to receive a payout of INR 1,00,000 yearly for next three consecutive years.

The net present value (NPV) of his/her investment is INR _____ (rounded off to the nearest integer).

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A modified Taylor tool life equation is given as follows:

where

is the cutting speed (m/s),

is the tool life in minutes and

is the feed in mm/rev,

and

. Under two different cutting conditions

and

the tool life

was found to be the same.

If the ratio of the cutting speeds

used is 2/3, then the ratio of corresponding feeds

must be _____ (rounded off to two decimal places).

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2026 · Paper 1

Question 31

Question 32

Question 33