[Download PDF] IIFT 2017 Question Paper Paper with Solutions

Instructions

Table as under provides the monthly prices in US Dollars Per Tonne of Barley, Wheat, Maize and Sorghum for the period July2016 to June 2017. Attempt the questions given as under in the context of information provided.

Question 101

How many times, the double digit growth in monthly prices occur across the commodities in the given time period?

Video Solution

Solution

Months in which price is increased from previous months,

For Barley, no period has double digit growth.

For wheat, Dec'16-Jan'17 has double digit growth.

For maize, no period has double digit growth.

For sorghum, May'17-Jun'17 has double digit growth.

Total 2 periods have double digit growth.

Instructions

India has 13 major ports, out of which 6 ports are located in Eastern Coast and 6 ports are in Western Coast of India. 13th port is at Port Blair, located in Andaman & Nicobar Island, which has negligible cargo traffic: Table below provides the traffic data bandied by 12 major ports (thousand tonnes) of India for the period 2011-12 to 2015-16. Based on the table, answer the questions:

Question 102

In which year, the average growth of all ports is the highest?

Video Solution

Solution

Total traffic of all ports

for 2011-12, 43248+54254+67420+14956+55707+28105+20090+32941+39049+56186+65730+82501 = 560187

for 2012-13, 39928+56552+59038+17885+53404+28260+19845+37036+17738+58038+64488+93619 = 545831

for 2013-14, 41386+68003+58504+27337+51105+28642+20886+39365+11739+59184+62333+87005 = 555489

for 2014-15, 46293+71011+58004+30251+52541+32414+21595+36566+14711+61660+63801+92497 = 581344

for 2015-16, 50195+76395+57033+32206+50058+36849+22099+35582+20776+61110+64027+100051 = 606381

Highest average growth = growth/12 (Total no of ports = 12)

For 2012-13, growth is negative.

For 2013-14, growth = 555489-545831 = 9658

For 2014-15, growth = 581344-555489 = 25855

For 2015-16, growth = 606381-581344 = 25037

Here, 2014-15 has highest growth from previous period.

Question 103

Which of the following port has registered the third highest growth in traffic (000) from year2011-12 to 2015-16?

Video Solution

Solution

Ports with growth in traffic are Kolkata, Paradip, Kamarajar, Chidambaranar, Kochin, New Mangalore, Mumbai and Kandla.

From year 2011-12 to year 2015-16,

Growth for Kolkata = 7000

Growth for Paradip = 22000

Growth for Kamarajar = 17000

Growth for Chidambaranar = 9000

Growth for Kochin = 2000

Growth for New Mangalore = 3000

Growth for Mumbai = 5000

Growth for Kandla = 17500

Since all values are approximate, port with third highest growth is either Kandla or Kamarajar whichever is lower.

Actual Growth for Kamarajar = 17250

Actual Growth for Kandla = 17550

Hence Kamarajar is the port with 3rd highest growth rate.

Question 104

What shall be the total approximate traffic (000) of Kolkata, Vizag and Cochin Port in 2017-18 if traffic continues to grow at the annual growth rate of 10% per annum in each of these ports?

Video Solution

Solution

Total traffic for Kolkata in 2017-18 = Traffic for Kolkata in 2015-16*(1+ (10/100))*(1+(10/100)) =

= (Traffic for Kolkata in 2015-16) * 1.1 * 1.1 =

= (Traffic for Kolkata in 2015-16) * 1.21 (Given growth rate is 10 percent)

Total traffic for Vizag in 2017-18 = (Traffic for Vizag in 2015-16) * 1.21

Total traffic for Cochin in 2017-18 = (Traffic for Cochin in 2015-16) * 1.21

Sum of total traffic of these ports in 2017-18 =(Sum of total traffic of given ports in 2015-16)*1.21

=(50,195+57033+22099)*1.21 = 129,327*1.21 = 156500 (Approx)

Instructions

The table below relates to data on Wholesale Price of India (WPI) for the period 2001-02 to 2015-16. WPI-based inflation is defined as percentage change in the value of the Index. Based on the table, answer the following questions:

Question 105

What is the approximate percentage change in the WPI of F&P; between 2001-02 and 2015-16?

Video Solution

Solution

After 2004-05, WPI is calculated based on change from 2004-05.

Therefore, WPI of F & P in 2015-16 = 178.8 percent of WPI in 2004-05 (from table, WPI of F&P)

= 280.2*178.8/100 = 500.99

WPI of F & P in 2015-16 according to base 1990= 500.99.

WPI of F&P in 2001-02 = 226.7 (from the table)

Percentage change = ((500.99-226.7)/226.7)*100 = 121 percent

Question 106

Between 2001-02 and 2015-16, which of the following components- PA, AC, F&P; and MP - have shown the second highest percentage increase in WPI ?

Video Solution

Solution

There is a change in the base year used for calculation in 2005.
Therefore, the actual change will be proportional to the product of the change till 2005 and the change till 2015-16.
PA:
WPI in 2001-02 = 168.4
WPI in 2015-16 = 188.1*2.496 = 469.4976

AC:
WPI in 2001-02 = 161.3
WPI in 2015-16 = 187.3*1.767 = 330.9591

F&P
WPI in 2001-02 = 226.7
WPI in 2015-16 = 280.2*1.788 = 500.9966

MP:
WPI in 2001-02 = 144.3
WPI in 2015-16 = 166.3*1.534 = 255.1042

MP has not doubled where as the other 3 have more than doubled during the given period. We can eliminate MP.
AC has increased slightly more than twice its original value. F&P has increased by a percentage greater than AC. PC has increased by a substantial amount over twice its initial value. Therefore, F&P has the second highest percentage increase in WPI and hence, option C is the right answer.

Question 107

Between 200I-02 and 2015-16 which year has recorded the smallest percentage increase in WPI on FA? .

Video Solution

Solution

From given options,

for the year 2003-04, percentage change in WPI on FA = ((181.5-179.2)*100)/179.2 = 230/179.2 =1.28

for the year 2004-05, percentage change in WPI on FA =((186.3 - 181.5)*100)/186.3 = 480/186.3 = 2.57

for the year 2015-16, percentage change in WPI on FA = ((262.1-253.4)*100)/253.4 = 870/253.4 = 3.43

By observation, 2003-04 has smallest percentage change because the change increases by a higher factor than the value of FA in the years other than mentioned above.

Question 108

If PA has a 40 percent weight-age in the WPI-based inflation calculation in 2005-06, find the corresponding approximate percentage weights assigned to F&P; and MP in the WPl based inflation calculation for the same year.

Video Solution

Solution

For 2005-06,

WPI = PA*(40/100)+F&P*(x/100)+MP((60-x)/100) (x is the percentage weight-age for F&P)

From table,

104.5 = 104.3(0.4) + 113.6*(x/100) + 102.4*(0.6- x/100)

x= 12

weight-age for F&P = 12

weight-age for MP = 60 - x = 60 - 12 =48

Question 109

Which component(s) in WPI has registered a decline more than once between two consecutive years?

Video Solution

Solution

F&P observed a decline during 2008-09 and 2009-10. F&P observed a decline during 2014-15 and 2015-16 as well. Therefore, option C is the right answer.

Instructions

Refer to the Table below. It provides quarterly output data of a company for four years (1998-2001) and its trend calculated through 4-quarter Moving Average Method:

Question 110

In which year and which quarter the output has second highest positive deviation from its trend?

Video Solution

Solution

Quarters with positive deviations from its trend

1999 Quarter 1, deviation = Value - moving average = 68-62.88 = 5.12

1999 Quarter 4, deviation = 67-65.25 = 1.75

2000 Quarter 1, deviation = 70-63.88 = 6.12

2001 Quarter 1, deviation = 60-55.12 = 4.88

Clearly, 1999 Quarter 1 is second highest.

CAT Content

IIFT 2017 Question Paper

How many times, the double digit growth in monthly prices occur across the commodities in the given time period?

In which year, the average growth of all ports is the highest?

Which of the following port has registered the third highest growth in traffic (000) from year2011-12 to 2015-16?

What shall be the total approximate traffic (000) of Kolkata, Vizag and Cochin Port in 2017-18 if traffic continues to grow at the annual growth rate of 10% per annum in each of these ports?

What is the approximate percentage change in the WPI of F&P; between 2001-02 and 2015-16?

Between 2001-02 and 2015-16, which of the following components- PA, AC, F&P; and MP - have shown the second highest percentage increase in WPI ?

Between 200I-02 and 2015-16 which year has recorded the smallest percentage increase in WPI on FA? .

If PA has a 40 percent weight-age in the WPI-based inflation calculation in 2005-06, find the corresponding approximate percentage weights assigned to F&P; and MP in the WPl­ based inflation calculation for the same year.

Which component(s) in WPI has registered a decline more than once between two consecutive years?

In which year and which quarter the output has second highest positive deviation from its trend?

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If PA has a 40 percent weight-age in the WPI-based inflation calculation in 2005-06, find the corresponding approximate percentage weights assigned to F&P; and MP in the WPl based inflation calculation for the same year.