IIFT 2012 Question Paper

The growth rate of Aluminum from 2006-2010 = $$\dfrac{99-75}{75} \approx 33.33\%$$

The growth rate of Coal from 2006-2010 = $$\dfrac{116-88}{88} \approx 28.8\%$$

The growth rate of Copper from 2006-2010 = $$\dfrac{97-75}{75} \approx 29.33\%$$

The growth rate of Gold from 2006-2010 = $$\dfrac{20-18}{18} \approx 11.11\%$$
Thus, Gold witnessed the minimum growth rate in production from 2006 to 2010.
Hence, option D is the correct answer.

Let us solve the options one by one.

Option A:

Number of foreign tourists arriving into India from Eastern Europe in 2007 = 152764

Number of foreign tourists arriving into India from Eastern Europe in 2010 = 227650

CAGR = $$\ \frac{227650-152764\ }{152764}\times\ \ \frac{\ 1}{3}$$ *100

= 16.34%

Option B:

Number of foreign tourists arriving into India from Central and South America in 2007 = 42319

Number of foreign tourists arriving into India from Central and South America in 2010 = 54728

CAGR = $$\ \frac{54728-42319\ }{42319}\times\ \ \frac{\ 1}{3}$$ *100

= 9.77%

Option C:

Number of foreign tourists arriving into India from West Asia in 2007 = 171661

Number of foreign tourists arriving into India from West Asia in 2010 = 235317

CAGR = $$\ \frac{235317-171661\ }{171661}\times\ \ \frac{\ 1}{3}$$ *100

= 12.36%

Option D:

Number of foreign tourists arriving into India from South East Asia in 2007 = 303475

Number of foreign tourists arriving into India from South East Asia in 2010 = 409043

CAGR = $$\ \frac{409043-303475\ }{303475}\times\ \ \frac{\ 1}{3}$$ *100

= 11.59%

A is the correct answer.

CAGR of North America = $$\ \frac{1173664-1007276\ }{1007276}\times\ \ \frac{\ 1}{3}$$*100 = 5.5%

CAGR of Centrral and South America = $$\ \frac{54728-42319\ }{42319}\times\ \ \frac{\ 1}{3}$$*100 = 9.7%

CAGR of Western Europe = $$\ \frac{1750342-1686083\ }{1686083}\times\ \ \frac{\ 1}{3}$$*100 = 1.3%

CAGR of Eastern Europe = $$\ \frac{227650-152764\ }{152764}\times\ \ \frac{\ 1}{3}$$*100 = 16.34%

CAGR of Africa = $$\ \frac{204525-157484\ }{157484}\times\ \ \frac{\ 1}{3}$$*100 = 9.9%

CAGR of West Asia = $$\ \frac{235317-171661\ }{171661}\times\ \ \frac{\ 1}{3}$$*100 = 12.36%

CAGR of South Asia = $$\ \frac{1047444-982428\ }{982428}\times\ \ \frac{\ 1}{3}$$*100 = 2.2%

CAGR of South East Asia = $$\ \frac{409043-303475\ }{303475}\times\ \ \frac{\ 1}{3}$$*100 = 11.59%

CAGR of East Asia = $$\ \frac{411947-352037\ }{352037}\times\ \ \frac{\ 1}{3}$$*100 = 5.6%

CAGR of North America = $$\ \frac{210275-167063\ }{167063}\times\ \ \frac{\ 1}{3}$$*100 = 8.6%

CAGR of Others = $$\ \frac{12757-58913\ }{58913}\times\ \ \frac{\ 1}{3}$$*100 = -26.11%

Only 3 countries have CAGR more than 10%.

A is the correct answer.

Africa:

The growth recorded in 2008 i negative.

The growth recorded in 2009 = $$\frac{\left(164474-141750\right)}{141750}\times\ 100=16.03\%$$

The growth recorded in 2010 = $$\frac{\left(204525-164474\right)}{164474}\times\ 100=24.35\%$$

Eastern Europe:

The growth recorded in 2008 = $$\frac{\left(185110-152764\right)}{152764}\times\ 100=21.17\%$$

The growth recorded in 2009 was negative.

The growth recorded in 2010 = $$\frac{\left(227650-183475\right)}{183475}\times\ 100=24.08\%$$

West Asia:

The growth recorded in 2008 = $$\frac{\left(210542-171661\right)}{171661}\times\ 100=22.64\%$$

The growth recorded in 2009 was negative.

The growth recorded in 2010 = $$\frac{\left(235317-204843\right)}{204843}\times\ 100=14.8\%$$

East Asia:

The growth recorded in 2010 = $$\frac{\left(411947-322797\right)}{322797}\times\ 100=27.6\%$$

Since the growth recorded in 2010 in East Asia is the highest,

the correct option is D.

The given information in table format is as shown below:-

The negative sign in Import/Export signifies Import.
The net external trade of 2006 = 475+125+25 = 625
Net export of 2007 = 450+25 = 475
Net export in 2008 = 400+350 = 750
Net export in 2010 = 250+200+75 = 525
Thus, The external trade was the highest in the year 2008
Hence, option C is the correct answer.

The given information in table format is as shown below:-

The negative sign in Import/Export signifies Import
Thus, in the year 2007 are the net exports (exports - imports) of all the categories taken together the highest.
Hence, option B is the correct answer.

The given information in table format is as shown below:-

The negative sign in Import/Export signifies Import
Thus, from the table we can see that Statement I and Statement III are correct whereas Statement II is false.
Hence, option C is the correct answer.

The number of Figos sold in 2010 = 80000*9/100 = 7200
The total number of cars sold increase by 25% and thus, total number of cars in 2011 = 100000
Thus, the total number of Figos sold in 2011 = 100000*44/360 = 12222
We can calculate the number of cars sold for the remaining cars too and the result is tabulated as shown below:-

Thus, the approximate increase in the number of Figo cars sold in 2011 over 2010 = 12222-7200 =  5002.
Thus, the closest option is option A and is thus the answer.

The number of Figos sold in 2010 = 80000*9/100 = 7200
The total number of cars sold increase by 25% and thus, total number of cars in 2011 = 100000
Thus, the total number of Figos sold in 2011 = 100000*44/360 = 12222
We can calculate the number of cars sold for the remaining cars too and the result is tabulated as shown below:-

Thus, we can see that 3 models have grown more than the average growth rate(of 25%) for all the models taken together.
Hence, option B is the correct answer.

0.0010101 to make it greater than 1000 we will have to shift the decimal point by 6 places.
Thus, we will have to multiply the given number by $$10^6$$.
Hence, option C is the correct answer.