Line chart problems
- 1. What is the difference between the number of units manufactured and the number of units sold over the years?
Options- A. 5 lakhs
- B. 50 lakhs
- C. 5 crores
- D. 50 crores Discuss
Correct Answer: 5 crores
Explanation:
Total number of units manufactured = Units manufactured in 2004 + Units manufactured in 2005 + Units manufactured in 2006 + Units manufactured in 2007 + Units manufactured in 2008
Total number of units manufactured = 4.5 + 5 + 5.5 + 5 + 7 = 27 crores
Total number of units sold = Units sold in 2004 + Units sold in 2005 + Units sold in 2006 + Units sold in 2007 + Units sold in 2008
Total number of units sold = 3.5 + 4 + 5 + 3 + 6.5 = 22 crores
Hence, their difference = 27 crores - 22 crores = 5 crores
- 2. What is the respective ratio of the number of units manufactured in the year 2004 to the number of units manufactured in the year 2008?
Options- A. 7 : 9
- B. 7 : 11
- C. 9 : 11
- D. 9 : 14 Discuss
Correct Answer: 9 : 14
Explanation:
Required ratio = number of units manufactured in the year 2004 / number of units manufactured in the year 2008
Required ratio = 4.5 : 7 = 45 : 70 = 9 : 14
- 3. What is the average number of units sold over the years?
Options- A. 44 lakhs
- B. 4.4 cores
- C. 44 crores
- D. None of these Discuss
Correct Answer: 4.4 cores
Explanation:
Average number of units sold = ( Units sold in 2004 + Units sold in 2005 + Units sold in 2006 + Units sold in 2007 + Units sold in 2008 ) / 5
Average number of units sold = (3.5 + 4 + 5 + 3 + 6.5)/5 = 22/5 = 4.4 crores
- 4. What is the approximate percent increase in the number of units sold in the year 2008 from the previous year?
Options- A. 60
- B. 70
- C. 95
- D. 117 Discuss
Correct Answer: 117
Explanation:
Required percentage of increase = (number of units sold in the year 2008 - number of units sold in the year 2007) x 100 / number of units sold in the year 2007
Required percentage of increase = (6.5 - 3) x 100/3 = 3.5 x 100/3 = 117%
- 5. What is respective ratio of the difference between the number of units manufactured and sold in the year 2006 to the difference between the number of units manufactured and sold in the year 2007?
Options- A. 1 : 2
- B. 1 : 4
- C. 2 : 3
- D. 3 : 5 Discuss
Correct Answer: 1 : 4
Explanation:
Required ratio = (number of units manufactured in the year 2006 - number of units sold in the year 2006)/ (number of units manufactured in the year 2007 - number of units sold in the year 2007)
Required ratio = (5.5 - 5) / (5 - 3) = 0.5 / 2 = 1 / 4 = 1 : 4
- 6. During which of the given years increase in number of hotels over the previous year was highest?
Options- A. 2004
- B. 2006
- C. 2005
- D. 2008 Discuss
Correct Answer: 2005
Explanation:
Increase in number of hotels over previous years = (number of hotels in previous year - number of hotels in current year).
Increase in number of hotels over previous years are as follows:
In 2004, 440 - 410 = 30
In 2005, 570 - 440 = 130
In 2006, 740 - 570 = 170
In 2008, 838 - 710 = 128
Hence, in 2006, increase in number of hotels over 2005 was highest.
- 7. What is the approximate percentage increase in to tourist hotels in 2008 over that in 2003?
Options- A. 75
- B. 100
- C. 125
- D. 150 Discuss
Correct Answer: 100
Explanation:
Increase in number of hotels = (number of hotels in 2008 - number of hotels in 2003 ).
Required percentage of increase = (number of hotels in 2008 - number of hotels in 2003 ) x 100 / number of hotels in 2003
Required percentage of increase = (838 - 410) x 100 /410 = 428 x 100 /410 = 100.4%
Approximate 100%
- 8. If in 2005 new hotels constructed were fewer by 10, what would have been the ratio between the new hotels constructed in 2004 and that constructed in 2005?
Options- A. 1 : 4
- B. 4 : 1
- C. 4 : 5
- D. 5 : 4 Discuss
Correct Answer: 1 : 4
Explanation:
Required ratio = (440 - 410) : (570 - 10 - 440) = 30 : 120 = 1 : 4
- 9. If percentage increase in number of hotels from 2007 to 2008 continued till 2009, how many new hotels would have come up in 2009?
Options- A. Minimum 50
- B. Minimum 70
- C. Minimum 80
- D. Minimum 150 Discuss
Correct Answer: Minimum 150
Explanation:
Number of hotels in 2007 to 2008 = (number of hotels in 2008 - number of hotels in 2007 ) x 100/ number of hotels in 2007
Percentage increase in number of hotels from 2007 to 2088 = (838 - 710)x 100/710 = 128 x 100/710 = 18% approx.
Since, required number of new hotels in 2009 = 838 x 18/100 = 150 approx.
- 10. If P is the percentage increase in tourist hotels from 2005 to 2006 and Q is the percentage increase in the tourist hotels from 2006 to 2008. Which of the following statements is true with respect to the relationship between P and Q?
Options- A. P < Q
- B. P = Q
- C. P > Q
- D. None of these Discuss
Correct Answer: P > Q
Explanation:
P = Number of hotels in 2005 to 2006 = (number of hotels in 2006 - number of hotels in 2005 ) x 100/ number of hotels in 2005
Here, P = (740 - 570) x 100/570 = 29.8%
Q = Number of hotels in 2006 to 2008 = (number of hotels in 2008 - number of hotels in 2006 ) x 100/ number of hotels in 2006
and also, Q = (838 - 740) x 100/740 = 13.2%
Hence, P > Q
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