Skip to content
GATEiit

GATE CSE 2022 Q27: Conditions that make a group commutative

Question

Which of the following statements is/are TRUE for a group GG?

Try it: multiple select: one or more correct options

Select one or more options
Select all correct options. No negative marking, no partial marks.
Show answer and explanation

Answer: A, B, C (official GATE 2022 final answer key)

Concept used: Use cancellation in a group to turn each condition into xy=yxxy = yx.

First step: Expand (xy)2=xyxy=xxyy(xy)^2 = xyxy = xxyy and cancel xx on the left and yy on the right.

Full step-by-step solution

Detailed working, common mistakes and linked mock tests will be available with a free GATEiit account. Log-in is coming soon.

Share this question

WhatsAppDownload image

Source: official GATE 2022 CS question paper and final answer key, organised by IIT Kharagpur. Question paper · Answer key