GATE — Electronics and Communication Engineering (EC) — 2021

Question 1 of 65

Question 1

Multiple ChoiceQuantitative AptitudePercentage

+1 points-0.33 points

The current population of a city is 1,10,250. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

Correct Answer:

A

9,92,500

B

9,95,006

C

1,00,000

D

1,25,150

Answer: 1,00,000.

Annual percentage growth compounds: present population = past population × 1.05². Thus the required population is 110250/1.1025 = 100000. Subtracting 10% from the present population would incorrectly calculate both years' increases on the same base.

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