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

Questions 46–48 of 81. Imported answers require review unless explicitly marked reviewed.

Paper practice 81 questionsPage 16 of 27

Question 46

Open question
ARNAT2 marksNeeds review
A construction project consists of 7 activities. These activities, their connecting events, and the three PERT times (optimistic, likely, and pessimistic), in days, are listed in the table below. The project starts on 27ᵗʰ July 2026. Assuming no holidays for the entire duration of the project except 15ᵗʰ August 2026, the expected date of completion of the project will be __________ August 2026 (mention the date in integer).
Activity
Connecting Events
Three PERT Times (in Days)
P
1 → 2
4 – 6 – 8
Q
1 → 3
5 – 6 – 13
R
2 → 5
6 – 8 – 22
S
2 → 3
8 – 11 – 14
T
3 → 5
2 – 4 – 12
U
3 → 4
4 – 8 – 18
V
4 → 5
5 – 7 – 15

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Question 47

Open question
ARNAT2 marksNeeds review
A socio-economic survey of a city is planned with a sample size of 1250 persons, having the same proportion of age and sex distribution of the city population, as given in the table below. The required number of representative female respondents of the age group 19 to 40 years, is __________ (round off to nearest integer).
Age group (in years)
Male (%)
Female (%)
0 to 6
2
1.5
7 to 18
8.5
6
19 to 25
14.5
13.5
26 to 40
14.5
11
41 to 50
12
8
51 to 60
2.5
2.5
60 +
1.5
2

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Question 48

Open question
ARNAT2 marksNeeds review
An existing four storey building of identical floor plans was built by utilizing the maximum allowable F.A.R. and maximum ground coverage of 50% in a plot of 500 m². Due to incentive zoning, the F.A.R. of the plot has been increased to 2.75. The maximum floor area (in m²) that can now be added to the building is __________ (in integer).

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