Q(11 – 15): Study the following graph carefully to answer the questions that follow.
As a part of Make in India program, Foreign Companies were asked to register in various states in India to get incentives. Given below is the Number of new companies registered (in thousands) in four cities in various years in India.
11. In which year is the average of the number of companies registered the maximum?
(a) 2018
(b) 2016
(c) 2020
(d) 2021
(e) 2022
Solution: (b)
In 2015, the average number of companies registered = \(\displaystyle \frac{{\left( {5+10+15+35} \right)\times 1000}}{4}=\frac{{65000}}{4}\) = 16250
In 2016, the average number of companies registered = \(\displaystyle \frac{{\left( {10+25+30+35} \right)\times 1000}}{4}\) = 25000
In 2017, the average number of companies registered = \(\displaystyle \frac{{\left( {5+10+15+20} \right)\times 1000}}{4}\) = 12500
In 2018, the average number of companies registered = \(\displaystyle \frac{{\left( {30+25+20+15} \right)\times 1000}}{4}\) = 22500
In 2019, the average number of companies registered = \(\displaystyle \frac{{\left( {5+20+25+35} \right)\times 1000}}{4}\) = 21250
In 2020, the average number of companies registered = \(\displaystyle \frac{{\left( {10+20+25+30} \right)\times 1000}}{4}\) = 21250
In 2021, the average number of companies registered = \(\displaystyle \frac{{\left( {5+15+25+35} \right)\times 1000}}{4}\) = 20000
In 2022, the average number of companies registered = \(\displaystyle \frac{{\left( {10+15+30+35} \right)\times 1000}}{4}\) = 22500
Hence, in 2016, the average number of companies registered was the maximum
12. The number of companies registered in 2022 is what percentage more or less than the number of companies registered in the year 2015?
(a) 26.33%
(b) 24%
(c) 22%
(d) 38.46%
(e) 18%
Solution: (d)
Number of companies registered in 2022 = (15 + 10 + 35 + 30) \(\displaystyle \times \) 1000 = 90 \(\displaystyle \times \) 1000 = 90000.
Number of companies registered in 2015 = (5 + 15 + 10 + 35) \(\displaystyle \times \) 1000 = 65 \(\displaystyle \times \) 1000 = 65000
Hence, number of companies registered in 2022 is 38.46% more than 2015.
13. What is the ratio of the number companies registered in Tamil Nadu to that in West Bengal during 2015 to 2022?
(a) 40 : 47
(b) 40 : 43
(c) 38 : 41
(d) 39 : 41
(e) 40 : 41
Solution: (e)
Number of companies registered in Tamil Nadu during 2015 to 2022, = (10 + 35 + 10 + 25 + 20 + 30 + 35 + 35) \(\displaystyle \times \) 1000 = 200000
Number of companies registered in West Bengal during 2015 to 2022, = (35 + 30 + 15 + 30 + 35 + 25 + 5 + 30) \(\displaystyle \times \) 1000 = 205000
Reqd. ratio = 200000 : 205000 = 40 : 41
14. In which of country is the average number of companies registered the maximum?
(a) Tamil Nadu
(b) West Bengal
(c) Karnataka
(d) UP
(e) Both Karnataka and Tamil Nadu
Solution: (b)
Average number of companies registered in UP = \(\displaystyle \frac{{\left( {15+25+20+15+25+10+15+10} \right)\times 1000}}{8}=\frac{{135000}}{8}\) = 16875
Average number of companies registered in Karnataka = \(\displaystyle \frac{{\left( {5+10+5+20+5+20+25+15} \right)\times 1000}}{8}=\frac{{105000}}{8}\) = 13125
Average number of companies registered in Tamil Nadu = \(\displaystyle \frac{{\left( {10+35+10+25+20+30+35+35} \right)\times 1000}}{8}\) = 25000
Average number of companies registered in West Bengal = \(\displaystyle \frac{{\left( {35+30+15+30+35+25+5+30} \right)\times 1000}}{8}\) = 25625
Average number of companies registered in West Bengal is the maximum.
15. The total number of companies registered in UP is how much more or less than the total number of companies registered in West Bengal?
(a) 42% less
(b) 44.14% less
(c) 34.14% less
(d) 42% more
(e) 38% less
Solution: (c)
Total number of companies registered in UP = (15 + 25 + 20 + 15 + 25 + 10 + 15 + 10) \(\displaystyle \times \) 1000 = 135000
Total number of companies registered in West Bengal = (35 + 30 + 15 + 30 + 35 + 25 + 5 + 30) \(\displaystyle \times \) 1000 = 205000
