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

Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 3 of 22

Question 7

Open question
GAMCQ2 marksNeeds review
In the given figure,

is the diameter of a circle with center

. Two points

and

are chosen on the circle such that

. When

and

are extended, they meet at

. The value of

is __________________
Diagram for Civil Engineering question 7

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Question 8

Open question
GAMCQ2 marksNeeds review
Diagram for Civil Engineering question 8

Based on the relationship between each polygon and the number inside it, the value of ‘X’ is _____
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Question 9

Open question
GAMCQ2 marksNeeds review
Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, the states of the bulbs are changed based on the following rules: • Any OFF bulb with exactly one ON neighbor at the end of the previous Step is turned ON. • Any ON bulb with both neighbors ON at the end of the previous Step is turned OFF. • The state of any bulb not meeting the conditions above is left unchanged.
The state of bulbs at the end of Step 1 and Step 2 are also shown in the figure.
Diagram for Civil Engineering question 9

The number of bulbs which are ON at the end of Step 8 is ______
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