IIFT 2008 Question Paper

In 2000, special type wagons = 40316

Total wagons = 234397

Percentage = $$\frac{40316}{234397}\times\ 100\ \approx\ 17.2\%$$

In 2002, special type wagons = 37275

Total wagons = 216717

Percentage = $$\frac{37275}{216717}\times\ 100\ \approx\ 17.2\%$$

Thus, the correct option is C.

In 2002, the percentage of departmental wagons to the total wagons = $$\frac{9536}{216717}\times\ 100\ =4.4\%$$

In 2003, the percentage of departmental wagons to the total wagons = $$\frac{10718}{214760}\times\ 100\ =\ 4.99\%$$

In 2004, the percentage of departmental wagons to the total wagons = $$\frac{11388}{227752}\times\ 100\ = 5\%$$

In 2005, the percentage of departmental wagons to the total wagons = $$\frac{10964}{222379}\times\ 100\ = 4.93\%$$

Thus, the correct option is C.

Option A) Annual growth rate of total wagons in 1999

The growth rate in 1999 over 1998 = $$\dfrac{\left(252944-263981\right)}{263981}\times\ 100=-4.18\%$$

Option B) Annual growth rate of covered wagons in 1998

The growth rate in 1998 over 1997 = $$\dfrac{\left(102217-106634\right)}{106634}\times\ 100=-4.14\%$$

Option C) Annual growth rate of special type wagons in 2002

The growth rate in 2002 over 2001 = $$\dfrac{\left(37275-38884\right)}{38884}\times\ 100=-4.13\%$$

Option D) Annual growth rate of total wagon capacity in 2000

The growth rate in 2000 over 1999 = $$\dfrac{\left(10.26-10.7\right)}{10.7}\times\ 100=-4.11\%$$

Thus, the correct option is A.

Option A: The growth rate of covered wagons in 1996 over 1995 = $$\frac{\left(114065-121946\right)}{121946}\times\ 100=-6.5\%$$

The growth rate of covered wagons in 2000 over 1999 = $$\frac{\left(86024-96371\right)}{96371}\times\ 100=-10.5\%$$

Since this is true, option A is not the correct answer.

Option B: 

The annual growth rate of open high sided wagons in 1997 over 1996 = $$\frac{\left(98906-98297\right)}{98297}\times\ 100= 0.62\%$$

The annual growth rate of open high sided wagons in 2003 over 2002 = $$\frac{\left(90765-90371\right)}{90371}\times\ 100= 0.44\%$$

Since this option is also true, option B is not the correct answer.

Option C:

The annual percentage growth rate of average wagon capacity in 1999 over 1998 = $$\frac{\left(42.3-40.5\right)}{40.5}\times\ 100= 4.4\%$$

The annual percentage growth rate of average wagon capacity in 2001 over 2000 = $$\frac{\left(45.9-43.8\right)}{43.8}\times\ 100= 4.8\%$$

Since this option is false, this is the correct option.

Thus, the correct answer is C.

By solving the options ,we can see

A: [(291360-312405)/312405]*100=-6.7%

B:[(71950-75768)/75768]*100=-5%

C:[(9726-10601)/10601]*100=-8.2%

D:[(8907-9612)/8907]*100=-7.3%

Hence B is the correct answer

Production in 1991 = 25 + 40 + 91 + 159 = 315

Production in 1992 = 40 + 108 + 107 + 165 = 420

Production in 1993 = 35 + 60 + 62 + 140 = 297

Production in 1994 = 75 + 40 + 131 + 88 = 334

Thus, it is clear that the growth rate was maximum in 1992.

Thus, the correct answer is B.

Stability of Product P = $$\frac{\left(45+25+40+35+75+55\right)}{\left(75-25\right)\times\ 6}=0.91$$

Stability of Product Q = $$\frac{\left(99+40+108+60+40+70\right)}{\left(108-40\right)\times\ 6}=1.02$$

Stability of Product R = $$\frac{\left(72+91+107+62+131+120\right)}{\left(131-62\right)\times\ 6}=1.408$$

Stability of Product S = $$\frac{\left(115+159+165+140+88+98\right)}{\left(165-88\right)\times\ 6}=1.65$$

Thus, the correct option is D.

Revenue of 1991 = $$\left(25\times\ 9\right)+\left(40\times\ 4\right)+\left(91\times13\right)+\left(159\times\ 3\right)=2045$$

Revenue of 1992 = $$\left(40\times\ 9\right)+\left(108\times\ 4\right)+\left(107\times13\right)+\left(165\times\ 3\right)=2678$$

Revenue of 1993 = $$\left(35\times\ 9\right)+\left(60\times\ 4\right)+\left(62\times13\right)+\left(140\times\ 3\right)=1781$$

Thus, the lowest revenue was in 1993.

Thus, the correct option is C.

Total revenue for P = $$\left(40+25+40+35+75+55\right)\times\ 9=2430$$

Total revenue for Q = $$\left(99+40+108+60+40+70\right)\times\ 4=1668$$

Total revenue for R = $$\left(72+91+101+62+131+120\right)\times\ 13=6019$$

Total revenue for S = $$\left(115+159+165+140+88+98\right)\times\ 3=2295$$

Thus, the correct option is B.

Let's look at the options one by one ,

Option A: Revenue by products P = 25*9 = 225 , Q = 40*4 = 160 , R = 91*13 = 1183, S = 159*3 = 477  

Revenue of R is the highest. Hence A is not the correct answer.

Option B:  Revenue by products P = 75*9 = 675, Q = 40*4 = 160 , R = 131*13 = 1703, S = 88*3 = 264

Sum of revenues of P, Q, S =1094

The combined revenue of P, Q, S is less than the revenue from R in 1994.

Hence B is not the correct answer.

Option C:  Revenue by products P = 35*9 = 315, Q = 60*4 = 240, R = 62*13 = 806, S = 140*3 = 420

The cumulative revenue of P and Q = 555

The cumulative revenue of P and Q is more than the revenue of S in 1993.

Hence C is the correct answer.