Q1-5 Directions: Study the following graph and answer the questions based on it
1. Approximately what percent of the average annual exports for Company Z is the average annual export for Company Y during the given period?
a. 87.12%
b. 89.64%
c. 91.21%
d. 93.33%
EXPLANATION
Average export of Y = 80+40+60+60+80+100+140/7=560/7=80
average export of Z =60+90+120+90+60+80+100/7=600/7
therefore, 80/600×7×100=560/6=93.33%
2. In how many of the given years, were the exports from Company Z more than the average annual exports over the given years?
a. 2
b. 3
c. 4
d. 5
EXPLANATION
Average annual exports of Company Z during the given period = 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100)
= Rs. ( 600 /7)crores
= Rs. 85.71 crores.
From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.
3. What was the difference between the average exports of the three Companies in 2008 and the average exports in 2013?
a. Rs. 15.33 crores
b. Rs. 18.57 crores
c. Rs. 20 crores
d. Rs. 22.17 crores
EXPLANATION
1993=80+60+30/3=170/3=56.7(apx.)
& 1998=50+80+100/3=230/3=76.7(apx)
therefore, 76.7-56.7=20
4. In which year was the difference between the exports from Companies X and Y the minimum?
a. 2009
b. 2013
c. 2011
d. 2014
EXPLANATION
Average annual exports of Company Z during the given period
= 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100)
= Rs. ( 600 /7)crores
= Rs. 85.71 crores.
From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.
5. For which of the following pairs of years are the total exports from the three companies together equal?
a. 2008 and 2009
b. 2013 and 2014
c. 2009 and 2010
d. 2010 and 2011
EXPLANATION
1995= 40+60+120=220
1996= 60+70+90=220
1997=60+80+100=240
1998=50+80+100=230
therefore , 1995=1996=220
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