The document consists of quantitative aptitude questions regarding the number of workers employed in six different shops over several years, including calculations of averages, percentages, and ratios. Key findings include that the difference in average workers between shop C and shop D is 7, and the total workers in 2002 is about 84% of those in 2006. Additionally, the largest difference in total workers over the years is 382 between shop E and shop B, with the maximum percentage decrease in workers for shop D occurring in 2005.

1. Quantitative
Aptitude

2. Question -1
 Directions: Study the following table carefully
to answer these questions
 Number of workers employed in six different
shops during the years.
 What is the difference between the average
number of workers in Shop D and Shop C over
the years?

3. Solution
• Total number of years = 6
• Total number of workers in shop C over the years =
778
• Average number of workers in shop C over the
years = 778/6
• Total number of workers in shop D over the years =
736
• Average number of workers in shop D over the
years = 736/6
• Difference between the average number of workers
in Shop D and Shop C over the years = 778/6 -
736/6 = 42/6 = 7

4. Question - 2
• Directions: - Study the following table carefully to
answer these questions.
• Number of workers employed in six different shops
during the years.
• Total number of workers in all shops in the year 2002
is approximately what % of total number of workers
in all shops in the year 2006.

5. Solution
• Total number of workers in all shops in the year 2002
= 722
• Total number of workers in all shops in the year 2006
= 862
• % of total number of workers in 2002 out of total
number of workers in 2006
• = 722/862 × 100%
= 83.75 % ≈ 84%

6. Question - 3
• Study the following table carefully to answer these
questions
• Number of workers employed in six different shops
during the years.
• What is the ratio of number of workers in shops A
and B together in year 2002 to the number of
workers in shop C and D for the year 2002?

7. Solution
• Total number of workers in shop A in 2002 = 126
• Total number of workers in shop B in 2002 = 78
• Total number of workers in shop C in 2002 = 122
• Total number of workers in shop D in 2002 = 112
• Ratio of number of workers in shops A and B
together to the number of workers in shop C and D
for the year 2002
= (126+78)/(122+112) = 34/39

8. Question - 4
• Directions: Study the following table carefully
to answer these questions
• Number of workers employed in six different
shops during the years.
• What is the difference between the number of
workers in the shop having the highest number
of workers over all years and the shop having
the lowest number of workers over all years?

9. Solution
• From the 2nd table, Highest number of workers is in
shop E with number of workers over all years = 961
• Lowest number of workers is in shop B with number
of workers over all years = 579
• Difference between the two = 961 – 579 = 382

10. Question - 5
• Directions: Study the following table carefully to
answer these questions
• Number of workers employed in six different
shops during the years.
• In which year the percentage increase /
decrease in the number of employed workers for
shop D were maximum?

11. Solution
• Number of workers in unit D,
• In the year 2001 = 120
• In the year 2002 = 112
• In the year 2003 = 124
• In the year 2004 = 139
• In the year 2005 = 114
• In the year 2006 = 127

12. • % decrease in 2002 = ((120-112))/120 × 100%
• ⇒ % decrease in 2002 = 6.66%
• Increase in year 2003 = (124-112)/112 × 100%
• ⇒ % increase in year 2003 = 10.71%
• Increase in year 2004 = (139-124)/124 × 100%
• ⇒ % Increase in year 2004 = 12.09%
• % decrease in year 2005 = ((139-114))/139 × 100%
• ⇒ % decrease in year 2005 = 17.98%
• % increase in year 2006 = (127-114)/114 × 100%
• ⇒ % increase in year 2006 = 11.4%
• Thus the maximum decrease was in year 2005

13. The End