Directions (1-7): The following pie charts (figures (A) and (B)) exhibit the distribution of the overseas tourist traffic from India. The two charts show the tourist distribution by country and the age profile of the tourists respectively. Study the charts and answer the questions which follow.
Figure: Distribution of Overseas Tourist Traffic from India
Q1. What percentage of the Indian tourists went to either USA or UK?
(a) 40%
(b) 50%
(c) 60%
(d) 70%
(e) None of these
Q2. The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is:
(a) 2 : 1
(b) 8 : 3
(c) 3 : 8
(d) Cannot be determined
(e) None of these
Q3. If amongst other countries, Switzerland, accounted for 25% of the Indian tourist traffic, and it is known from official Swiss records that a total of 25 lakh Indian tourists had gone to Switzerland during the year, then find the number of 30-39 year-old Indian tourists who went abroad in that year.
(a) 18.75 lakh
(b) 25 lakh
(c) 50 lakh
(d) 75 lakh
(e) None of these
Q4. For question 3, what was the volume of traffic of Indian tourists in the US?
(a) 150 lakh
(b) 125 lakh
(c) 200 lakh
(d) 250 lakh
(e) None of these
Q5. For questions 3, what can be inferred about the number of 50+year-olds who visited UK during the year?
(a) At least 25 lakh
(b) Exactly 25 lakh
(c) At least 10 lakh
(d) Cannot be determined
(e) None of these
Q6. Solve question 5 assuming that the age distribution of overseas Indian tourists was uniform for all the countries.
(a) At least 25 lakh
(b) Exactly 25 lakh
(c) At least 10 lakh
(d) Cannot be determined
(e) None of these
Q7. With the assumption of question 6 and the data from question 3 and 4 taken to be true, find the ratio of the number of 50+year-olds Indian tourists visiting USA in the year to the number of below 50-year-old Indian tourists visiting UK or Switzerland during the year.
(a) 2 : 1
(b) 8 : 3
(c) 3 : 8
(d) Cannot be determined
(e) None of these
Directions (8-11): The following pie charts (Figures A and B) give the information about the distribution of weight in the human body according to different kinds of components. Study the pie charts carefully and answer the questions given.
Figure: Distribution of Weight in Human Body
Q8. How much of the human body is neither made of bones nor skin?
(a) 40%
(b) 50%
(c) 60%
(d) 70%
(e) None of these
Q9. What is the ratio of the distribution of proteins in the muscles to that of the distribution of proteins in the bones?
(a) 2 : 1
(b) 2 : 3
(c) 3 : 2
(d) Cannot be determined
(e) None of these
Q10. What percentage of proteins of the human body is equivalent to the weight of its skin?
(a) 41.66%
(b) 43.33%
(c) 44.44%
(d) Cannot be determined
(e) None of these
Q11. What percentage of water in the human body is more than the other dry elements?
(a) 416.6%
(b) 433.3%
(c) 444.4%
(d) 490.9%
(e) None of these
Directions (12-15): Use the given pie diagrams to answer the following questions. The pie chart (figure A) shows the distribution of the New York market share by value of different computer companies in 2012.
The pie chart (figure B) shows the distribution of New York market share by volume of different computer companies in 2012.
Number of units sold in 2012 in New York = 1,500
Value of units sold in 2012 in New York = US $ 1,650,000
Figure: Distribution of New York Market Share
Q12. In 2012, the average unit sale price of an IBM PC was approximately (in US$)
(a) 3180
(b) 2800
(c) 393
(d) 3080
(e) None of these
Q13. For the year 2012, which company has realised the lowest average unit sales price of a PC?
(a) Commodore
(b) IBM
(c) Tandy
(d) Cannot be determined
(e) None of these
Q14. Over the period 2012-13, if sales (value-wise) of IBM PCs increased by 50% and of Apple by 15%, assuming that PC sales of all other computer companies remained the same, by what percentage (approximately) would the PC sales in New York (value-wise) increase over the same period?
(a) 16.1%
(b) 18%
(c) 14%
(d) 17%
(e) None of these
Q15. In 2012, what is the difference between the unit sold by Apple and the unit sold by HP?
(a) 45
(b) 28
(c) 39
(d) 30
(e) None of these
Solutions
S1. Ans.(b)
Sol. 40 + 10 = 50% (from the first chart)
S2. Ans.(b)
Sol. 40 : 15 = 8 : 3
S3. Ans.(d)
Sol. 5% corresponds to Switzerland’s 25 lakh. Hence 15% will be 75 lakh.
S4. Ans.(c)
Sol. Use accounts for 40%, i.e. 8 times 5%. Since Switzerland’s 5% is 25 lakh, US will be 200 lakh.
S5. Ans.(d)
Sol. Nothing can be said about the age break-up of the Indian tourists who have gone to any destination. Hence, cannot be determined.
S6. Ans.(b)
Sol. If the age distribution is uniform then 50 + year-olds will account for 50% of the total Indian tourist traffic in UK, i.e. 5% of the total Indian tourist traffic worldwide will be 50+year-olds who went to UK, i.e. 25 lakh based on Switzerland’s value from question 3.
S7. Ans.(b)
Sol. 50% of 40: (50% of 10 + 50% of 5) = 20 : 7.5 = 8 : 3.
S8. Ans.(d)
Sol. 20 + 10 = 30% is made up of either bones or skin. Hence, 70% is made up of neither.
S9. Ans.(d)
Sol. Cannot be determined since the respective distributions are not known.
S10. Ans.(a)
Sol. 10/24 = 41.66%
S11. Ans.(d)
Sol. Required % = (65-11)/11 * 100 = 490.9%
S12. Ans.(d)
Sol. IBM accounts for 28% of the share by value and 10% of the share by volume. Hence, (1,650,000/1500) × (28/10) = 1,100 × 2.8 = 3,080.
S13. Ans.(d)
Sol. Although it seems to be Commodore, the answer cannot be determined due to the fact that we are unaware of the break-up of the sales value and volume of the companies comprising the others categories.
S14. Ans.(a)
Sol. If the assume the total sales to be 100 in the first year, IBM’s sales would go up by 50% (from 28 to 42) contributing an increase of 14 to the total sales value. Similarly, Apple’s increase of 15% would contribute an increase of 2.1 to the total sales value. The net change would be 14 + 2.1 on 100, i.e. 16.1%.
S15. Ans.(a)
Sol. Required difference = 1500 * (11-8)% = 45 units
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