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BAR DIAGRAMS

Be very careful of the units used in the graphs and the units in which the options are provided. A mistake in the units may yield an entirely different answer. Also be careful of whether the answer is required in decimal or percentage. Such errors are common and easily avoidable.
Directions (Q. 1-5): Study the following graph carefully and answer the questions accordingly.
Following graph shows the requirement and production (in thousand tons) of rubber over the years.

1. In 2011, the production of rubber was what percent of the requirement (rounded off to two digits after decimal)?
Ans: 69.23%
Exp:
Required%=

 = 69.23%
2. What is the average requirement over the years?
1) 6300 tons    2) 57000 tons    3) 5300 tons    4) 61000 tons    5) None of these
Ans: 5 (None of these)
Exp:


= 63000 tons
3. In which of the following years was it likely that the quantity of rubber imported to bridge the gap between demand and supply was minimum?
Ans: 2011
Exp:
In 2009; 70 − 35 = 35000 tons
in 2011; 65 − 45 = 20000 tons
in 2013; 75 − 50 = 25000 tons
Minimum in 2011
4. What is the respective ratio between the production of rubber in 2012 and production in 2010?
1) 10 : 13      2) 11 : 15       3) 12 : 13      4) 13 : 10    5) None of these
Ans: 5 (None of these)
Exp:
Required ratio = 70 : 85 = 14 : 17
5. The requirement of rubber in 2011 is approximately how much percent more than the requirement from the previous year?
Ans: 18%
Exp:

Directions (Q. 6-10):
Study the following bar diagram carefully to answer the questions that follow.
Following bar diagram gives the Profit (in Rupees crores) earned by a company over the years.

6. The expenditure of the company in the year 2009 was Rs.65 crores, what was the income of the company in that year?
Ans: Rs.135 cr
Exp:
Income − Expenditure = Profit
Income = Expenditure + Profit
Income in 2009 = 65 + 70 = 135 Crores
7. What is the average profit earned by the company over the years approximately?
Ans: Rs.63 cr
Exp:

                         
= 63.33 Cr
8. The income of the company in the year 2011 was Rs.120 crores and the income of the company in the year 2008 was Rs.85 crores. What is the respective ratio of the expenditure of the company in the year 2011 to the expenditure of the company in the year 2008?
1) 1 : 2      2) 5 : 9       3) 2 : 3      4) 3 : 7       5) None of these
Ans:  5 (None of these)
Exp:
In 2011, Income = 120 cr; Profit = 75 cr
∴ Expenditure = 120 − 75 = 45 cr
In 2008, Income = 85 cr; Profit = 55 cr
∴ Expenditure = 85 − 55 = 30 cr
required ratio = 45 : 30 = 3 : 2
9. What is the percent profit of the year 2012, if the income of the company was Rs.95 crores?
Ans: 137.5%
Exp:
Income = 95 cr, profit = 55 cr
∴ Expenditure = 95 − 55 = 40 cr

= 137.5%
10. In which of the following years was the percentage increase in the profit the highest from that of the previous year?
Ans: 2009
Exp:
Increment percents in

∴ The highest percent increment is in 2009
Directions (Q. 11-15): Study the graph carefully to answer the questions that follow. Following graph gives the Number of employees (in hundreds) in different income groups from three different organizations A, B and C.

11. Which income group has the minimum number of employees?
Ans: 14001 - 17000
12. What is the respective ratio of number of employees from income groups 8001 - 11000, 14001 - 17000 and 20001 - 23000 together of Organisation B to those from the same income groups of Organisation A?
Ans: 34 : 35
Exp:
Required Ratio
= 7 + 4.5 + 5.5 : 5.5 + 5 + 7
 17 : 17.5
= 34 : 35
13. What is the total number of employees in Organisation C in all the income groups together?
Ans: 3750
Exp:
Total number
= 6 + 6.5 + 7.5 + 6.5 + 5 + 6
= 37.5 × 100
= 3750
14. Number of employees in the income group of 14001 - 17000 from Organisation B is what percent of the employees from Organisation A in the income group of 11001 - 14000?
Ans: 75%
Exp:
Required% = 75%
15. Number of employees in the income group of 20001 - 23000 of organization B is approximately how much percent less than that of the income group 11001 - 14000 of the same organization?
Ans: 31.25%
Exp:

Directions (Q. 16-20): Study the following graph and answer the questions that follow.
The following graph shows the ratio of Imports and Exports of two companies A and B over the years.

16. In how many of the given years were the imports more than the exports for company B?
Ans: 4
Exp:
Given the ratio of imports and exports i.e., 
imports more than exports means ratio should be more than 1
∴ in four years ratio is more than 1 for B
17. What were the average exports of company A over the given years?
1) Rs.34 cr        2) Rs.14 cr        3) Rs.28 cr        4) Can’t be determined     5) None of these
Ans: 4 (Can’t be determined)
Exp:
As imports and exports are seperately not given, it can’t be determined
18. If the total exports of company B in 2006 and 2008 was 42 crore, then what was the total imports of the same company for these two years together?
Ans: 50.4 cr
Exp:
Ratio for 2006 & 2008 is 1.2
 = 1.2
 Imports = 42 × 1.2
= 50.4 crores
19. In how many years did company A show exports more than imports?
Ans: 1
Exp:
If Exports more than imports, ratio will be less than 1
∴ in one year (2006) ratio is less than 1 for A
20. What were the exports of company B for the year 2007 if the imports were Rs.42 cr for same year?
1) Rs.32 cr        2) Rs.18 cr        3) Rs.42 cr         4) Rs.35 cr          5) None of these
Ans: 5 (None of these)
 = 1.4
 Exports =  = 30 cr


Writer by Dr. G.S. Giridhar

Posted Date : 07-02-2021

 

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