[Download PDF] IIFT 2014 Question Paper Paper with Solutions

Instructions

Read the following information on ‘Sectoral Trends in Mergers & Acquisitions in India (2001-02 to 2006-07)’ given in Tables below and answer the questions.

Table: Sector wise Number of ‘Mergers & Acquisitions’

Table: Sector wise Number of ‘Mergers’

Question 91

For how many sectors merger activity (measured by number of mergers) is more in the first 3 years as compared to the last 3 years?

Video Solution

Solution

For Food and Beverage, IT and Telecom, Diversified, Financial Services and Other services satisfy the condition that the merger activity was more in the first three years than in the last three years.

Question 92

If the turbulence over a period is defined by the sum of each of the differences (in absolute terms) in number of mergers & acquisitions on a year-on-year basis, then which sector is considered most turbulent for the entire period (2001 - 02 to 2006 - 07)?

Video Solution

Solution

The turbulence for the Financial Service sector is much higher when compared to the other sectors.

Turbulence for the Financial service sector can be calculated as (201-194)+(201-160)+(160-116)+(193-116)+(193-177)= 185

Similarly, turbulence for the IT and Telecom sector = 108

Turbulence for Food and Beverage = 50

Turbulence for other sectors = 62

Question 93

In which year maximum sectors have exhibited higher number of acquisitions compared to previous year?

Video Solution

Solution

The number of acquisitions in the period 2005-06 is more than that of the previous year for the seven sectors, and it is the highest.

Instructions

Charts given below describe the energy scenario of a country. Assume that the country does not export any form of energy and whatever is produced and imported is consumed in the same year. Go through the Charts and answer the questions.

Question 94

What was the approximate total import of energy in 2010?

Video Solution

Solution

The total imports from various sources for the year 2010 are as follows:

25% of 540(1.15) + 50% of 290(1.1) + 505 of 80(1.05) + 5% of 50(1.1) = 360 MTOE (approx)

Question 95

The import of natural gas in 2012, when compared to 2010, is approximately:

Video Solution

Solution

Import of natural gas for the year 2010 = 50% of 80(1.05) = 42

Import of natural gas for 2012 = 30% of 80(1.05)(1.1)(1.05) = 29 (approx)

Hence the required difference = 42 - 29 = 13

Question 96

What is the approximate domestic production of crude oil in 2011?

Video Solution

Solution

Domestic production of crude oil in the year 2011 = 55% of 290(1.1)(1.1) = 193 MTOE (approx)

Question 97

What is the approximate proportion of coal in the domestic consumption of energy in 2012?

Video Solution

Solution

Consumption of energy in the given country for the year 2012 is as follows:

540(1.15)(1.1)(1.15) + 290(1.1)(1.1)(1.15) + 80(1.05)(1.1)(1.05) + 20(1.2)(1.15)(1.1) + 0(1.1)(1.05)(1.1) + 20(1.15)(1.15)(1.1)

= 786 + 404 + 97 + 30 + 64 + 29 = 1410 MTOE

Hence the required percentage is $$\frac{786}{1410}\times100=\ 56\%\ $$

Question 98

What is the sum of the approximate domestic production of nuclear energy and hydroelectricity in 2011?

Video Solution

Solution

Domestic production of nuclear energy and hydroelectricity in the year 2011 are as follows:

20(1.2)(1.15) + 95% of 50(1.1)(1.05) = 82 MTOE

Instructions

For the following questions answer them individually

Question 99

Let P$$_{1}$$ be the circle of radius R. A square Q$$_{1}$$ is inscribed in P$$_{1}$$ such that all the vertices of the square Q$$_{1}$$ lie on the circumference of P$$_{1}$$. Another circle P$$_{2}$$ is inscribed in Q$$_{1}$$. Another Square Q$$_{2}$$ is inscribed in the circle P$$_{2}$$. Circle P$$_{3}$$ is inscribed in the square Q$$_{2}$$ and so on. If S$$_{N}$$ is the area between Q$$_{N}$$ and P$$_{N+1}$$, where N represents the set of natural numbers, then the ratio of sum of all such S$$_{N}$$ to that of the area of the square Q$$_{1}$$ is :

Video Solution

Solution

Let us draw the diagram according to the information given,

There will be infinite shaded areas as shown in the figure.

Area of circle P$$_{1}$$ = $$\pi*R^2$$

Area of square Q$$_{1}$$ = $$(\sqrt{2}*R)^2$$ = $$2R^2$$

Area of circle P$$_{2}$$ = $$\pi*(\dfrac{R}{\sqrt{2}})^2=\pi*R^2/2$$

Area of square Q$$_{2}$$ = $$R^2$$

Area of circle P$$_{3}$$ = $$\pi*(\dfrac{R}{2})^2=\pi*R^2/4$$

Therefore, S$$_{N}$$ = [$$2R^2-\pi*\dfrac{R^2}{2}$$]+[$$R^2-\pi*\dfrac{R^2}{4}$$]+...

S$$_{N}$$ = $$(2R^2+R^2+\dfrac{R^2}{2}+... )$$- $$(\pi*\dfrac{R^2}{2}+\pi*\dfrac{R^2}{4}+\pi*\dfrac{R^2}{8}...)$$

S$$_{N}$$ = $$4R^2-\pi*R^2$$

Therefore, $$\dfrac{S_{N}}{Q_{1}}$$ = $$\dfrac{4R^2-\pi*R^2}{2R^2}$$ = $$\dfrac{4 - \pi}{2}$$. Hence, option A is the correct answer.

Question 100

In a school, students were called for the Flag Hoisting ceremony on August 15. After the ceremony, small boxes of sweets were distributed among the students. In each class, the student with roll no. 1 got one box of sweets, student with roll number 2 got 2 boxes of sweets, student with roll no. 3 got 3 boxes of sweets and so on. In class III, a total of 1200 boxes of sweets were distributed. By mistake one of the students of class III got double the sweets he was entitled to get. Identify the roll number of the student who got twice as many boxes of sweets as compared to his entitlement.

Video Solution

Solution

1+2+3+4+..................+n < 1200

and

1+2+3+4+..................+n+ (n+1) > 1200

We need to calculate value of n.

Using first and second inequality,

$$\frac{n (n+1)}{2}$$ < 1200

N = 48

Total number of boxes of sweets distributed is: 48*49/2 = 1176

So, roll no 24 got doubles number of boxes.

CAT Content

IIFT 2014 Question Paper

For how many sectors merger activity (measured by number of mergers) is more in the first 3 years as compared to the last 3 years?

If the turbulence over a period is defined by the sum of each of the differences (in absolute terms) in number of mergers & acquisitions on a year-on-year basis, then which sector is considered most turbulent for the entire period (2001 - 02 to 2006 - 07)?

In which year maximum sectors have exhibited higher number of acquisitions compared to previous year?

What was the approximate total import of energy in 2010?

The import of natural gas in 2012, when compared to 2010, is approximately:

What is the approximate domestic production of crude oil in 2011?

What is the approximate proportion of coal in the domestic consumption of energy in 2012?

What is the sum of the approximate domestic production of nuclear energy and hydroelectricity in 2011?

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