Sunday, 20 August 2017

Quantitative Aptitude



Directions (1-5): The following bar chart (figure) shows the trends of foreign direct investment (FDI) into Indian from all over the world. 


Q1. What was India’s total FDI for the period shown in the figure?   
(a) 93.82
(b) 93.22
(c) 93.19
(d) 93.72
(e) None of these 

Q2. What was the absolute difference in the FDI to India in between 2011 & 2012?  
(a) 7.29
(b) 7.13
(c) 8.13
(d) 7.16
(e) None of these 

Q3. What was the ratio of investment in 2012 over the investment in 2007?   
(a) 5.50
(b) 5.36
(c) 5.64
(d) 5.75
(e) None of these 

Q4. Which year exhibited the highest growth in FDI in India over the period shown?  
(a) 2008
(b) 2009
(c) 2010
(d) 2011
(e) None of these 

Q5. If India’s FDI from OPEC countries proportionately the same in 2007 and 2012 as the total FDI from all over the world and if the FDI in 2007 from the OPEC countries was Euro 2 million, what was the amount of FDI from the OPEC countries in 2012?   
(a) 11
(b) 10.72
(c) 11.28
(d) 11.5 
(e) None of these 

Directions (6-10): Study the following bar chart (figure) carefully and answer the questions given. 

Figure: Sales Turnover of 5 companies (in Rs. crore) 

Q6. What is the approximate difference between the average sales turnover of all the companies put together between the years 2011-12 and 2012-13?   
(a) 133.45
(b) 142.48
(c) 117.6
(d) 128.36 
(e) None of these 

Q7. What should have been the sales turnover of GM in 2012-13 to have shown an excess of the same quantum over 2011-12 as shown by the sales turnover of Maruti?  
(a) 953.76
(b) 963.76
(c) 952.76
(d) 962.76
(e) None of these 

Q8. Which of the companies shows the maximum percentage difference in sales turnover between the two years?  
(a) Honda 
(b) GM
(c) Hyundai 
(d) Maruti 
(e) None of these 

Q9. What is the percentage change in the overall sales turnover of the five companies together between 2011-12 to 2012-13?   
(a) 17.21%
(b) 14.68%
(c) 12.67%
(d) 21.24%
(e) None of these 
Q10. What is the absolute change in the overall sales turnover of the five companies together between 2011-12 to 2012-13?  
(a) 712.43
(b) 142.48
(c) 683.53
(d) 789.12
(e) None of these 

Directions (11-15): The following bar chart (Figure) shows the composition of the GDP of two countries (India and Pakistan). 

 
Figure: Composition of GDP of Two Countries 

Q11. What fraction of India’s GDP is accounted for by Services?  
(a) 6/33
(b) 1/5th 
(c) 2/3rd  
(d) 1/2th  
(e) None of these 

Q12. If the total GDP of Pakistan is Rs. 10,000 crore, then the GDP accounted for by Manufacturing is: 
(a) Rs. 200 crore  
(b) Rs. 600 crore 
(c) Rs. 2,000 crore 
(d) Rs. 6,000 crore 
(e) None of these 

Q13. If the total GDP of India is Rs. 30,000 crores, then the GDP accounted for by Agriculture, Services and Miscellaneous is:  
(a) Rs. 18,500 crore 
(b) Rs. 18,000 crore 
(c) Rs. 21,000 crore 
(d) Rs. 15,000 crore 
(e) None of these 

Q14. Which country accounts for higher earning out of Services and Miscellaneous together? 
(a) India 
(b) Pakistan 
(c) Both spend equal amounts 
(d) Cannot be determined 
(e) None of these 

Q15. If the total GDP is the same for both the countries, then what percentage is Pakistan’s income through agriculture over India’s income though services? 
(a) 100%
(b) 200%
(c) 133.33%
(d) 150% 
(e) None of these 

Solutions

S1. Ans.(a)
Sol. Total FDI investment in the figure shown is = 5.7 + 10.15 + 12.16 + 10.22 + 24.23 + 31.36 = 93.82 bn  

S2. Ans.(b)
Sol. The difference in investments over 2011-12 was $ 7.13 bn.

S3. Ans.(a)
Sol. The 2012 figure of investment as a factor of 2007 investment = 31.36/5.70. = 5.50

S4. Ans.(d)
Sol. It can be seen that the FDI in 2011 more than doubles over that of 2010. No other year is close to this rate of growth. 

S5. Ans.(a)
Sol. Let x be the FDI in 2012. 
Then: 2/5.7=x/31.36  
x = 11

S6. Ans.(b)
Sol. The average sales turnover of all the companies (2011-12)
= (1122.66+913.63+681.98+1171.01962.58)/5 = 970.372
The average sales turnover of all the companies (2012-13)
(847.78+750.31+731.11+1089.30+720.93)/5 = 827.88
Difference = 142.48

S7. Ans.(d) 
Sol. GM should have increased its sales turnover by Rs. 49.13 crore. Hence, the answer is: 913.63 + 49.13 = 962.76

S8. Ans.(c)
Sol. Hyundai with 25.25% is marginally higher than Honda with 24.5%

S9. Ans.(b)
Sol. The required answer = (4851.86-4139.4)/4851.86 = 14.68%

S10. Ans.(a)
So. Absolute value of the difference between the sum of the turnover of the five companies for 2011-12 and 2011-13.  
 = 4851.86-4139.4 = 712.43

S11. Ans.(b)
Sol. Services accounts for 20%, i.e. 1/5th of the GDP of India. 

S12. Ans.(c)
Sol. 20% of 10000 = 2000

S13. Ans.(c)
Sol. (40 + 20 + 10)% of 30,000 = Rs. 21,000 crore. 

S14. Ans.(d)
Sol. Although the percentage on services and Miscellaneous put together is equal for both the countries, we cannot comment on this since we have no data about the respective GDPs. 

S15. Ans.(a)
Sol. Since the GDP is same, the answer will be got by (40-20)/20 = 100%. 

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