IIFT 2011 Question Paper

The ratio of number of male and female journalists in a newspaper office is 5:4. The newspaper has two sections, political and sports. If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?

Let '9x' be the number of total journalists in the office. Then, we can say that the number of male and female journalists are '5x' and '4x' respectively. 

It is given that 30 percent of the male journalists and 40 percent of the female journalists are covering political news. Hence, total number of journalists who are covering political news = 0.3*5x + 0.4*4x = 3.1x

Therefore, the total number journalists who are covering sports news = 9x - 3.1x = 5.9x. 

Hence, the percentage of the journalists in the newspaper is currently involved in sports reporting = $$\dfrac{5.9x}{9x}\times 100$$ $$\approx$$ 65 percent. Therefore, option A is the correct answer. 

The ratio of ‘metal 1’ and ‘metal 2’ in alloy ‘A’ is 3 :4.Therefore, we can say that 14 kg of alloy 'A' will contain $$\dfrac{3}{7} 14$$ = 6 kg of 'metal 1' and $$\dfrac{4}{7} 14$$ = 8 kg of 'metal 2'.

The ratio of ‘metal 1’ and ‘metal 2’ in alloy ‘B’ is 5 :8.Therefore, we can say that 26 kg of alloy 'B' will contain $$\dfrac{5}{13} 26$$ = 10 kg of 'metal 1' and $$\dfrac{8}{13} 26$$ = 16 kg of 'metal 2'.

Hence, total weight of 'metal 1' in the new alloy = 6 + 10 = 16 kg
Total weight of 'metal 2' in the new alloy = 8 + 16 = 24 kg

Therefore, the ratio of ‘metal 1’ and ‘metal 2’ in the new alloy. = 16 : 24 = 2 :3. Hence, option C is the correct answer. 

Total outward investment flows 

The compound average growth rate of Country XX’s overall Outward Investment during the period January 2011 and May 2011 = $$[({\dfrac{3701}{3075}})^{0.25} - 1]\times 100$$ = 4.74 percent. 

Hence, option D is the correct answer. 

We can see that country XX’s Outward Investment to Singapore dropped in Mar 2011 and Apr 2011. 

Month on month growth in Mar2011 = $$\frac{741-1211}{1211}\times 100$$ = -38.81 percent. 

Month on month growth in Apr 2011 = $$\frac{378-741}{741}\times 100$$ = -48.98 percent. 

Hence, option C is the correct answer. 

Country XX’s Outward Investment together in USA and UK in February 2011 = 116+117 = USD 233 millions.

Country XX’s total Outward Investment in the world in Feb 11 = 3221

Hence, the required percentage = $$\dfrac{233}{3221}\times 100$$ $$\approx$$ 7.24 percent. Therefore, option A is the correct answer. 

Country XX’s total Outward Investment together in Singapore and UAE in Jan 11 = 273+86 = 359 millions.

Therefore, the share of Country XX’s total Outward Investment together in Singapore and UAE in Jan 11 = $$\dfrac{359}{3075}*100$$ = 11.67 percent.

Country XX’s total Outward Investment together in Singapore and UAE in Feb 11 = 1211+227 = 1438 millions.

Therefore, the share of Country XX’s total Outward Investment together in Singapore and UAE in Jan 11 = $$\dfrac{1438}{3221}*100$$ = 44.64 percent.

Country XX’s total Outward Investment together in Singapore and UAE in Mar 11 = 741+70 = 811 millions.

Therefore, the share of Country XX’s total Outward Investment together in Singapore and UAE in Jan 11 = $$\dfrac{811}{2358}*100$$ = 34.39 percent.

Country XX’s total Outward Investment together in Singapore and UAE in Apr 11 = 378+157 = 535 millions.

Therefore, the share of Country XX’s total Outward Investment together in Singapore and UAE in Jan 11 = $$\dfrac{535}{1390}*100$$ = 38.49 percent.

Country XX’s total Outward Investment together in Singapore and UAE in May 11 = 615+142 = 757 millions.

Therefore, the share of Country XX’s total Outward Investment together in Singapore and UAE in Jan 11 = $$\dfrac{757}{3701}*100$$ = 20.45 percent.

We can see that the share as a total is the highest for Feb 11 and it is approx 45 percent. Hence, option B is the correct answer. 

From February 2011 to April 2011, Outward Investment from XX witness declined in the Singapore by = 1211 - 378 = 833 millions.

From February 2011 to April 2011, Outward Investment from XX witness declined in the UK = 117 - 44 = 73 millions.

From February 2011 to April 2011, Outward Investment from XX witness declined in the UAE = 227 - 157 = 70 millions.

From February 2011 to April 2011, Outward Investment from XX witness declined in the others = 1551 - 686 = 865 millions.

We can see that "others" have a decline of 865 millions and it is the highest decline for any country among the given choices. 

Hence, option D is the correct answer. 

Value of the GDP from the tertiary sector in the year 2004-05 = 2971464 - 650454 - 744755 = 1576255

Hence, the share of tertiary sector at factor cost in GDP in the year 2004-05 = $$\dfrac{1576255}{2971464}\times 100$$ = 53.05 percent. 

Value of the GDP from the tertiary sector in the year 2009-10 = 6133230- 1243566 - 1499601 = 3390063

Hence, the share of tertiary sector at factor cost in GDP in the year 2009-10 = $$\dfrac{3390063}{6133230}\times 100$$ = 55.27 percent. 

We can see that the share of tertiary sector at factor cost in GDP increased from 53.05 percent to 55.27 percent. Therefore, option A is the correct answer. 

Let us check the options one by one.

Option (A): The annual growth rate in the GNP series at factor cost between 2008-09 and 2009-10 = $$\dfrac{6095230-5249463}{5249463}\times 100$$ = 16.11 percent. 

Option (B): The annual growth rate in the GNP series at factor cost between 2006-07 and 2007-08 = $$\dfrac{4560910-3919007}{3919007}\times 100$$ = 16.38 percent. 

Option (C): The annual growth rate in the GNP series at factor cost between 2007-08 and 2008-09 = $$\dfrac{5249463-4560910}{4560910}\times 100$$ = 15.09 percent. 

Option (D): The annual growth rate in the GNP series at factor cost between 2005-06 and 2006-07 =$$\dfrac{3919007-3363505}{3363505}\times 100$$ = 16.52 percent. 

We can see that the value is the highest between 2005-06 and 2006-07. Hence, option D is the correct answer.

If Gross Domestic Savings (GDS) in 2009-10 increased by 30 percent over 2008-09 , then the value of GDS in the year 2009-10 = 1.3*1798347 = 2337851.10

Hence, GDS as a percentage of GDP at market prices in the year 2009-10 = $$\dfrac{2337851.10}{6550271}\times 100$$ = 35.69 percent. 

Therefore, option C is the correct answer.