IIFT 2012 Question Paper

Total Imports during the given period = $$275+250+225+225+275+200+175+175+200+175 = 2175$$
Total Exports during the given period = $$112.5+150+150+275+200+175+200+200+262.5+250 = 1975$$
Thus, Total exports is smaller than Total imports by $$\dfrac{2175-1975}{2175} \approx 9\%$$
Hence, option C is the correct answer.

The absolute difference year wise is:-
2002 = 275-112.5 = 162.5
2003 = 250-150 = 100
2004 = 225-150 = 75
2005 = 225-200 = 25
2006 = 275-175 = 100
2007 = 200-200 = 0
2008 = 275-175 = 100
2009 = 200-175 = 25
2010 = 262.5-200 = 62.5
2011 = 250-175 = 75
Thus, in ascending they'll be 2007, 2009/2005, 2005/2009, 2010, 2006/2008/2003,  2006/2008/2003, 2006/2008/2003, 2002
Thus, year 2010 will rank 4th.
Hence, option A is the correct answer.

The annual % increase in exports is as shown below:-
2003 = $$\frac{150-112.5}{112.5} = 33.33\%$$
2004 = $$0\%$$
2005 = $$\frac{200-150}{150} = 33.33\%$$
2006 = -ve
2007 = $$\frac{200-175}{175} = 14.28\%$$
2008 = $$\frac{275-200}{200} = 37.5\%$$
2009 = -ve
2010 = $$\frac{262.5-200}{200} = 31.5\%$$.
Thus, In 2007 was the fifth largest annual percentage increase in exports recorded.
Hence, option A is the correct answer.

The annual % increase in exports is as shown below:-
2003 = -ve
2004 = -ve
2005 = $$0\%$$
2006 = -$$\frac{275-200}{200} = 22.22\%$$
2007 = -ve
2008 = -ve
2009 = $$0\%$$
2010 = $$\frac{200-175}{175} = 14.28\%$$.
Thus, year 2010 saw the second largest annual percentage increase in imports.

The annual % increase in exports is as shown below:-
2003 = $$\frac{150-112.5}{112.5} = 33.33\%$$
2004 = $$0\%$$
2005 = $$\frac{200-150}{150} = 33.33\%$$
2006 = -ve
2007 = $$\frac{200-175}{175} = 14.28\%$$
2008 = $$\frac{275-200}{200} = 37.5\%$$
2009 = -ve
2010 = $$\frac{262.5-200}{200} = 31.5\%$$.
Thus, the maximum % increase in exports = $$37.5\%$$
The lowest % decrease in the year 2003 and = $$\frac{275-200}{275} = 9.09\%$$
Thus, the required difference = $$37.5 - 9.09 \approx 28\%$$
Hence, option A is the correct answer.

Growth of Iron Ore = $$\dfrac{163-100}{100} = 63\%$$
Growth of Aluminum = $$\dfrac{105-69}{69} \approx 50\%$$
Growth of Gold = $$\dfrac{25-15}{15} = 66.66\%$$
Growth of Copper = $$\dfrac{103-71}{71} \approx 45\%$$
Thus, Gold witnessed highest growth rate in production from 2005 to 2011.
Hence, option C is the correct answer.

The year wise total production of minerals and metals is as shown below:-
2005 = 69+91+71+15+100 = 346
2006 = 75+88+75+18+120 = 376
2007 = 81+97+79+21+102 = 380
2008 = 98+107+88+25+131 = 449
2009 = 93+110+92+24+143 = 462
2010 = 99+116+97+20+154 = 486
2011 = 105+122+103+125+103 = 518
The y-o-y increase in the total production of minerals and metals is as shown below:-
2006 = 376-346 = 30
2007 = 380-376 = 4
2008 = 449-380 = 69
2009 = 462-449 = 13
2010 = 486-462 = 24
2011 = 518-486 = 32
Thus, year 2008 has witnessed highest absolute increase in total production of minerals and metals.
Hence, option B is the correct answer.

The Growth rate of Iron Ore in 2008 = $$\dfrac{131-102}{102} \approx 30\%$$
The Growth rate of Gold in 2011 = $$\dfrac{25-20}{20} = 25\%$$
The Growth rate of Aluminium in 2008 = $$\dfrac{98-81}{81} \approx 21\%$$
The Growth rate of Iron Ore in 2008 = $$\dfrac{18-15}{15} = 20\%$$
Hence, Highest annual growth rate in production is recorded in Iron Ore in 2008.
Hence, option A is the correct answer.

The average growth rate of aluminum from 2006-2011 = $$\dfrac{\frac{105-75}{75}}{5} = 8\%$$
Thus, the average production of aluminum in 2015 = 105*(1+0.08*4) = 140 tonnes
Hence, option B is the correct answer.

The year wise total production of minerals and metals is as shown below:-
2005 = 69+91+71+15+100 = 346
2006 = 75+88+75+18+120 = 376
2007 = 81+97+79+21+102 = 380
2008 = 98+107+88+25+131 = 449
2009 = 93+110+92+24+143 = 462
2010 = 99+116+97+20+154 = 486
2011 = 105+122+103+125+103 = 215
Thus, the proportion of Copper in 2007 = $$\dfrac{79}{360} > 20\%$$
The proportion of Copper in 2008 = $$\dfrac{88}{449} < 20\%$$
The proportion of Copper in 2009 = $$\dfrac{92}{462} < 20\%$$
The proportion of Copper in 2010 = $$\dfrac{97}{486} < 20\%$$
Thus, as we can see the proportion of Copper in 2007 is the highest.
Hence, option A is the correct answer.