CAT 2025 Lesson : Data Tables - Case 5

Directions for questions 14 to 19: Answer the questions on the basis of the table given below Table: Production of Major Minerals and Metals (Million Tonnes)


[IIFT 2012]

14) Which mineral/metal witnessed highest growth rate in production from 2005 to 2011?

(1) Iron Ore
(2) Aluminium
(3) Gold
(4) Copper

15) Which year has witnessed highest absolute increase in total production of minerals and metals?

(1) 2006
(2) 2008
(3) 2011
(4) None of the above

16) Highest annual growth rate in production is recorded in

(1) Iron Ore in 2008
(2) Gold in 2011
(3) Aluminium in 2008
(4) Gold in 2006

17) If annual average growth rate in production exhibited during 2006 to 2011 continues for next 4 years, then what will be the approximate production of aluminium in the year 2015?

(1) 125 million tonnes
(2) 140 million tonnes
(3) 155 million tonnes
(4) 160 million tonnes

18) In which year is the proportion of copper production in the total mineral and metal production the highest?

(1) 2010
(2) 2008
(3) 2009
(4) 2007

19) Which mineral/metal witnessed the minimum growth rate in production from 2006 to 2010?

(1) Aluminium
(2) Coal
(3) Cooper
(4) Gold

Solution

14)

Working with options, Growth rate production = $\dfrac{(Production in 2011 - 2005)}{(Production in 2005) \times 100 \%}$

Iron Ore = $\dfrac{163 - 100}{100} = \dfrac{63}{100} \times 100 \% = 63 \%$

Aluminium = $\dfrac{105 - 69}{69} = \dfrac{36}{69} \times 100 \% = 52.17 \%$

Gold = $\dfrac{25 - 15}{15} = \dfrac{10}{15} \times 100 \% = 66.66 \%$

Copper = $\dfrac{103 - 71}{71} = \dfrac{32}{71} \times 100 \% = 45 \%$

Answer: (3) Gold

15)

We don't have the previous year's values for 2005.

Year 2006 = $376 - 346 = 30$
Year 2007 = $380 - 376 = 4$
Year 2008 = $449 - 380 = 69$
Year 2009 = $462 - 449 = 13$
Year 2010 = $486 - 462 = 24$
Year 2011 = $518 - 486 = 32$

Therefore, we can infer that 2008 witnessed the maximum absolute increase in the total production of minerals and metals.

Answer: (2) 2008

16)

According to the table above, by checking the options we see that,

Iron Ore in 2008 = $\dfrac{29}{102} \times 100 \% = 28.43 \%$

Gold in 2011 = $\dfrac{5}{20} \times 100 \% = 25 \%$

Aluminium in 2008 = $\dfrac{17}{81} \times 100 \% = 21 \%$

Gold on 2006 = $\dfrac{3}{15} \times 100 \% = 20 \%$

Answer: (1) Iron Ore in 2008

17)

Production of Aluminium in 2006 = 75 million tonnes.
Production of Aluminium in 2011 = 105 million tonnes.

Growth rate = $\dfrac{30}{75} \times 100 \% = 40 \%$

Average Growth rate =$\dfrac{40}{5} = 8 \%$ , from 2006 to 2011.

If this rate of growth continues, the production of aluminium in 2015 would be (using simple interest formula) =$105 + \dfrac{105 \times 4 \times 8}{100}$

=138.6 million tonnes.

The closest option is 140 million tonnes.

Answer: (2) 140 million tonnes

18)

$\dfrac{(Production \ of \ copper)}{(Total \ mineral \ and \ metal \ production)}$

We can use the options and the table to calculate

Year 2010 =$\dfrac{97}{486} \times 100 \% = 19.95 \%$

Year 2009 = $\dfrac{92}{462} \times 100 \% = 19.91 \%$

Year 2008 =$\dfrac{88}{449} \times 100 \% = 19.59 \%$

Year 2007 =$\dfrac{79}{380} \times 100 \% = 20.78 \%$

Answer: (4) 2007

19)

For every mineral and metal, the difference from 2006 to 2010 as a percentage of the base year (2006).

Aluminium =$\dfrac{24}{75} \times 100 \% = 32 \%$

Coal =$\dfrac{28}{88} \times 100 \% = 31 \%$

Copper =$\dfrac{22}{75} \times 100 \% = 29.33 \%$

Gold =$\dfrac{2}{18} \times 100 \% = 11.1 \%$

Answer: (4) Gold

Answer:
14) (3) Gold
15) (2) 2008
16) (1) Iron Ore in 2008
17) (2) 140 million tonnes
18) (4) 2007
19) (4) Gold