IIFT 5th Dec 2021 Slot 1

Given: 20% of total soyabean production of the world is from USA

Thus, Let the total world production of crops be P.

Thus, USA's production of soyabean = 0.2 x 0.35 x P = 0.07P = 7% of the total productions of crops. 

Soyabean productions consitutes 25% of the total crop production in the USA.

Thus, percentage of total crop production accounted by the USA = $$\frac{7\%}{0.25}=28\%$$

Hence, the answer is option C.

The total production of maize in the USA is 3 million tonnes and maize constitutes 40% of the total production of the USA.

Thus, total crop production in the USA = $$\frac{3}{0.4}=7.5$$million tonnes.

Thus, the percentage of the total production of crops in the world accounted for by the USA = $$\frac{7.5\times100}{160}=4.68\%$$

Hence, the answer is option B.

Total wheat production of the world = 15% of the total crop production of the world

= 15% (Crop production of the USA + Crop production of ROW)

=15%(USA production) + 15%(ROW crop production)   ...(1)

To find the percentage of crop production of ROW accounted by wheat, we have to remove the wheat production of the USA.

Wheat production of the USA = 15% (USA production)   ...(2)

Thus, the total wheat production of the ROW = 15%(ROW crop production)

Thus, wheat accounts for 15% of the total crop production of the ROW.

Hence, the answer is option D.

Alternately,

Since the wheat accounts for 15% of the total production of the World and the USA, it will also account for the 15% of the total crop production of the ROW.

Let the total production of crops in the USA, World and ROW be denoted by U, W and R, respectively.

Thus, 0.2(U) = 0.8[0.2W - 0.2U]

0.36U = 0.16W

$$U=\frac{4}{9}W$$

Thus, production of soybean in the USA = 0.25U = 0.25 x $$\frac{4}{9}W$$ = $$0.25\times\frac{4}{9}\times160=17.75$$million tonnes.

Hence, the answer is option D.

Option A: Profits for 2007 = 1120 - 360 = 760

Option B: Profits for 2009 = 1420 - 310 = 1110

Option C: Profits for 2012 = 1220 - 560 = 660

Option D: Profits for 2004 = 920 - 460 = 460

Thus, the maximum profit is in the year 2009.

Hence, the answer is option B.

We have to count the years in which at least one of the rice's income and expenditure shows an opposite trend.

2005: Parmal rice has an opposite trend.

2006: None of the rice has opposite trends.

2007: Basmati rice has an opposite trend. 

2008: Basmati rice has an opposite trend.

2009: Both the rice show an opposite trend.

2010: Both the rice show an opposite trend.

2011: Both the rice show an opposite trend.

2012: Basmati rice has an opposite trend.

2013: Basmati rice has an opposite trend.

Thus, all the years except 2008 have at least one rice showing an opposite trend in income and expenditure.

Thus, there are a total of 8 years.

Hence, the answer is option C.

Option A: For 2005 = $$\frac{660-560}{560}\times100=\frac{10000}{560}=17.85\%$$

Option B: For 2007 = $$\frac{660-460}{460}\times100=\frac{20000}{460}=43.47\%$$

Option C: For 2009 = $$\frac{760-560}{560}\times100=\frac{20000}{560}=35.71\%$$

Option D: For 2012 = $$\frac{660-560}{560}\times100=\frac{10000}{560}=17.85\%$$

Hence, the answer is option B.

Profit for  2008 = 330

Profit for 2009 = 530

Profit for 2010 = 280

Profit for 2011 = 80

Profit for 2012 = 230

Profit for 2013 = 230

From the above trend, we can observe that the maximum decrease is in the year 2011.

Hence, the answer is option C.

The number of murder cases in Pakistan is greater than the number of murder cases in Iraq, and the number of murder cases in Iraq is greater than the number of murder cases in China. Therefore, the rank of Pakistan is 1 and the rank of Iraq is 2. As the ranks of India and Bangladesh are 3, the rank of China will be 5.
It is given that the number of theft cases in Malaysia is 523. Therefore, the rank of Malaysia is 1. The rank of Pakistan in theft cases can be 2 or 3. The number of theft cases in Pakistan is less than the number of theft cases in India. Therefore, the rank of Pakistan is 3.
Similarly, checking the values from the graph and ranking countries for other cases.

Final table:

The rank of China in murder cases is 5.

Answer is option B.

The number of murder cases in Pakistan is greater than the number of murder cases in Iraq, and the number of murder cases in Iraq is greater than the number of murder cases in China. Therefore, the rank of Pakistan is 1 and the rank of Iraq is 2. As the ranks of India and Bangladesh are 3, the rank of China will be 5.
It is given that the number of theft cases in Malaysia is 523. Therefore, the rank of Malaysia is 1. The rank of Pakistan in theft cases can be 2 or 3. The number of theft cases in Pakistan is less than the number of theft cases in India. Therefore, the rank of Pakistan is 3.
Similarly, checking the values from the graph and ranking countries for other cases.

Final table:

The sum of murder cases in top two countries = 0 + 65 = 65
The sum of theft cases in top two countries = 523 + 40 = 563
Ratio = 65:563 = 1 : 8.66 $$\approx\ $$ 1 : 9

Answer is option C.