DIRECTIONS for data interpretation questions 1 to 5: Study the graph and table below and answer the questions.
Chart 1 gives the year on year growth in % of various sectors in 1996-97. Chart 2 gives the weight of each of these sectors in the overall industrial output of the country for the 1995-96. Wherever the weights in the year 1996-97 are needed, if nothing is specified, take it same for the year 1996-97 also
What was the % YOY growth in industrial output, between the two years?
1. 9.52%
2. 4.5%
3. 6.3%
4. Cannot be determined
Sol: Option 1 Explanation:Percentage YOY growth in industrial output
= (15 x 0.22) + (10 x 0.06) + (9 x 0.07) + (13 x 0.22) + (2 x 0.17) + (4 x 0.04) + (13 x 0.10) + (3 x 0.11) = 9.52 %
If in 1997-98, Paper were to account for 12% weight in the overall industrial output, at what rate should it grow assuming that the other sectors grow at 10 % each?
1. 20%
2. 120%
3. 225%
4. None of these
Sol: Option 2 Explanation: The best answer is 2.
Current weight of paper is 6%.
Assuming total output as 100, paper accounts for 6 units.
In 97-98 total output would be 110 if paper has to account for 12% then it has to be 110 x 0.12
= 13.2 units so growth rate is to be
7.2/6 = 120%.
If the overall industrial output in 1997-98 were to grow by 10 % and the growth of the chemical sector during this period was 26 %, what % weight would it have in the industrial output in 1997-98?
1. 25.2%
2. 18.7%
3. 28.8%
4. 31.4%
Sol: Option 1 Explanation: The best answer is 1.
New weight would be 22 x 1.26/1.1
= 25.2%
If the cotton textile sector continued to grow at the same rate, in how many more years will its output double?
1. 4 yr. 3 months
2. 4 yr. 11 months
3. 5yr. 3 months
4. 5yr. 9 months
Sol: Option 1 Explanation: The best answer is 1.
Current growth rate of cotton sector = 15%.
Applying the CI basic, the total time becomes roughly 5 yrs and 3 months.
The questions is how many more years, hence option 1st is the answer.
Which one of the following cannot be inferred?
1. The top three sectors accounted for more than 60% weight in the overall industrial production of the country.
2. The smallest three sectors accounted for less than 20% weight in the overall industrial production of the country.
3. Metals accounted for over a fifth of the overall industrial production of the country.
4. Mining, necessarily, could not have accounted for more than a fifth of the industrial production of the country.
Sol: Option 4 Explanation: The best answer is 4.
1. Top 3 sectors accounted for 23 + 22 + 17 = 60%
2. Each of the smallest 3 sectors = 4, 6, and 7% of the weight
3. Metals accounted for 18% which is slightly more than 1/6 of output(very close to 1/5)
4. Nothing is mentioned about mining
DIRECTIONS for questions 6 & 10: Refer to the information given below and answer the questions that follow:
Given the total capacity of the five companies given is 751000 tons(Percentage breakup is of capacity)
Production and the total in 1994-95
Name
Production (in tonnes)
Capital cost(Rs. million)
Lanco Industries
31,994
540.00
Sathvahana Ispat
80,759
544.92
Mid-West Iron
63,214
399.96
Kirloskar Ferrous
103,484
999.84
Usha Ispat
194,176
844.00
Which company had the highest capacity utilisation?
1. Sathavahana ispat
2. Mid-west Iron
3. Usha Ispat
4. Kirloskar Ferrous
Sol: Option 3 Explanation: Capacity utilisation: By observation it has to be Mid west iron or Usha Ispat. Mid west iron ≥ 63214/90000 x 100 = 70% nearly. Usha Ispat 194176 / 211 x 100 = 92% nearly. Hence Usha Ispat is the answer, thus 3rd option.
Which company had the lowest capital cost per tonne of capacity?
1. Sathavahana Ispat
2. Mid-west Iron
3. Kirloskar Ferrous
4. Usha Ispat
Sol: Option 4 Explanation: Capital cost per tonne of capacity
Lanco = 540 x 106 / 90 x 103 = Rs. 6,000.
Sathavahana = 544.92 x 106 / 120 x 103 = Rs. 4,374. Mid-west Iron = 399.96 x 106 / 90 x 103 = Rs. 4,449. Kirloskar Ferrous = 999.84 x 106 / 240 x 103
= Rs. 4, 166.
Usha Ispat = 884 x 106 / 211 x 103 = Rs. 4,000.
Hence Usha Ispat, 4th option.
If the given capacity of the five companies account for 87% of the total capacity in the country, what is the total capacity in the country?
1. 800 m tonnes
2. 900 m tonnes
3. 863 m tonnes
4. 1000 tonnes
Sol: Option 3 Explanation: Total capacity of the five companies = 751000 tonnes which is 87 % of the country's production
Hence total capacity = 751000/0.87
= 863,000 tonnes nearly
What is the capacity utilisation of the company, which has the highest capacity?
1. 70%
2. 66%
3. 43%
4. 91%
Sol: Option 3 Explanation: Highest Capacity is of Kirloskar Ferrous = 240 x 103
Its capacity utilisation = (103484/ 240 x 103) x 100 = 43%