GATE AR 2025 Paper 1 — page 15

Questions 43–45 of 81. Imported answers require review unless explicitly marked reviewed.

A housing property of INR 50 lakh is on sale either through a Full Down Payment (FD) scheme with an 8% rebate OR a Deferred Payment Plan (DPP) as shown in the table. A customer after converting all the future payments in DPP using 10% annual discount rate, find the DP scheme to be is financially gainful. The customer would be able to save in INR ______________ lakh, if DPP is chosen over FD. (rounded off to two decimal places)

Deferred Payment Plan (DPP)

Payment time	Payment
At the time of booking	INR 10 lakh
After one year	INR 15 lakh
After two year	INR 15 lakh
After three year	INR 10 lakh

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The population of a city in the year 2001, 2011, 2021 were recorded as 52,000, 76,600 and 1,20,000 respectively. Calculating the average growth rate using geometric mean, the estimated population of the city for 2031 using geometric increase method is ______________. (rounded off to the nearest integer)

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A room having dimension of 12 m × 8 m and height 4 m, stores a certain combustible material of volume 80 m³. The density and calorific value of the combustible material are 3.0 kg/m³ and 4000 kcal/kg, respectively. The fire load of the room is ____________ kcal/m². (rounded off to the nearest integer)

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2025 · Paper 1

Question 43

Question 44

Question 45