BAR GRAPHS

The bar graph given below shows the foreign exchange reserves of a country(in million us$)

from 1991-92 to 1998-99 .answer the questions basedon this graph. aptitude question of CAT 2008

Q.1

The foreign exchange reserves in 1997-98 was how ,any times that in 1994-95?

(a)0.7

(b) 1.2

(d) 1.5

Ans .

1.5

Explanation :
required ratio = 5040/3360 = 1.5

Q.2

what was the percentage increase in the foreign exchange reserves in 1997-98

over 1993-94?

(a)100

(b)150

(d)620

Ans .

100%

Explanation :
foreign exchange reserve in 1997-98=5040 million us $
foreign exchange reserves in 1993-94=2520 million us$
therefore increase=(5040-2520)=2520 million us $
therefore percentage increase=((2520/2520)*100)%=100%

Q.3

for which year,the percent increase of foreign exchange reserves over the

previous year,is the highest?

(a)1992-93

(b)1993-94

(d)1996-97

Ans .

1992-93

Explanation :
there is an increase in foreign exchange reserves during the years 1992-
93,1994-951996-97,1997-98 as compared to previous year (as shown by bar graph)
the percentage increase in reserves during these years compared to previous year are
(1) for 1992-93 =[(3720-2640)/2640*100]% =40.91%
(2) for 1994-95=[(3360-2520)/2520*100]%=33.33%
(3) for 1996-97=[(4320-3120)/3120*100]%=38.46%
(4) for 1997-98=[(5040-4320)/4320*100]%=16.67%
Clearly, the percentage increase over previous year is highest for 1992-93.

Q.4

the foreign exchange reserves in 1996-97 werw approximately what percent of

the average foreign exchange reserves over the period under review?

(a)95%

(b)110%

(d)125%

Ans .

125%

Explanation :
Average foreign exchange reserves over the given period
= [_x (2640 + 3720 + 2520 + 3360 + 3120 + 4320 + 5040 + 3120) ] million US $
= 3480 million US $.
Foreign exchange reserves in 1996-97 = 4320 million US $. . .
Required Percentage = x 100 % = 124.14% .. 125%. 3480 .

Q.5

the ratio of the number of years,in which the foreign exchange reserves are above the average reserves ,to those in which the reserves are below the average reserves is in Physics?

(a)2:6

(b)3:4

(d)4:4

Ans .

3:5

Explanation :
Average foreign exchange reserves over the given period = 3480 million US $.
The country had reserves above 3480 million US $ during the years 199293,1996-97 and 1997-98 i.e., for 3 years and below 3480 million US $ during the
years 1991-92, 1993-94, 1994-95, 1995-96 and 1998-99 i.e., for 5 years.
Hence, required ratio = 3 : 5.

bar-graph provided on next page gives the sales of books (inthousand numbers) from six branches of a publishing company during two

consecutive years 2000 and 2001. Answer the questions based on this bargraph: aptitude question of CAT 2008

Q.6

total sales of branches b1,b3 and b5 together for both the years (in thousandnumbers) is:

(a)250

(b) 310

(d)560

Ans .

560

Explanation :
total sales of branches B1,B3 and B5 for both the years (in thousand
numbers)=(80+105)+(95+110)+(75+95)=560

Q.7

total sales of branch b6 for both the years is what percent of the total sales of branch b3 for both the years?

(a) 68.54%

(b)71.11%

(d)75.55%

Ans .

73.17%

Explanation :
required percentage=[(70+80)/(95+110)*100]%=(150/205*100)%=73.17%

Q.8

what is the average sale of all the branches (in thousand numbers) for the year2000?

(a)73

(b)80

(d)88

Ans .

Explanation :
average sales of all the six branches (in thousand numbers ) for the year 2000=1/6*(80+75+95+85+75+70)=80

Q.9

what is the ratio of the total sales of branch b2 for both years to the total sales of branch b4 for both years ?

3:5

4:5

5:7

7:9

Ans .

7/9

Explanation :
required ratio=(75+65)/(85+95)=140/180=7/9

Q.10

what percent of the average sales of branchesn b1,b2 and b3 in 2001 is the average sales of branches b1,b3 and b6 in 2000?

77.5%

82.5%

85%

87.5%

Ans .

87.5%

Explanation :
average sales(in thousand numbers of branches B1,B3,and B6 in 2000=
1/3*(80+95+70)=245/3
average sales(in thousand numbers of branches B1,B2,and B3 in
2001=1/3*(105+65+110)=280/3
therefore required percentage=[((245/3)/(280/3))*100]%=(245/280*100)%=87.5%

The bar graph provided below gives the data of the production of paper(in thousand tonnes) by three different companies x,y and z over the years .study

the graph and answer the questions that followproduction of paper(in laks tonnes) by three companys x,yand z over the years aptitude question of CAT 2008

Q.1

What is the difference between the production of the company Z in 1998 andcompany y in 1996?

a.2 ,00,000 tons

b.20,00,000 tons

c.20,000 tons

d.2,00,00,000 tons

Ans .

2,00,00,000 tons

Explanation :
required difference =[(45-25)*1,00,000]tons=20,00,000 tons.

Q.2

what is the ratio of the average production of company x in the period 1998 to

2000 to the average production of company y in the same period?

a.1:1

b.15:27

c.23:25

d.27:29

Ans .

Rs. 912

Explanation :
average production of company x in the period 1998-
2000=[1/3*(25+50+40)]=(115/3) lakh tons average production of company y in the period 1998-2000
s[1/3*(35+40+50)]=(125/3) lakh tonstherefore req ratio=(115/3)/(125/3)=115/125=23/25

Q.3

what is the percentage increase in the production of company y from1996 to1999?

a.30%

b.45%

c.50%

d.60%

Ans .

60%c

Explanation :
percentage increase in the production y from 1996-1999=[(40- 25)/25*100]%=(15/25*100)%=60%

Q.4

the avreage production of five years was maximum for which company?

x & y both

x and z both

Ans .

x and z both

Explanation :
average production (in lakh tons)in five years for the three company's are:
for company x=[1/5*(30+45+25+50+40)]=190/5=38
for company y=[1/5*(25+35+35+40+50)]=185/5=37
for company z=[1/5*(35+40+45+35+35)]=190/5=38
therefore the average production of maximum for both the company's x and z

Q.5

for which of thw follolwing years the percentage rise / fall in production from previous year is the maximum for company y?

a.1997

b.1998

c.1999

d.2000

Ans .

1997

Explanation :
Percentage change (rise/fall)in the production of Company Y in comparison
to the previous year, for different years are:
For 1997 = [((32-25)/25)*100]% = 40%
For 1998 = [((35-35)/25)*100]% = 0%
For 1999 = [((40-35)/35)*100]% = 14.29%
For 2000 = [((50-40)/40)*100]% = 25%
Hence, the maximum percentage rise/fall in the production of company Y is for 1997.

Q.6

in which year was the percentage of production of company z to the production

of company y the maximum?

a.1996

b.1997

c.1998

d.1999

Ans .

1996

Explanation :
The percentages of production of company z to the production of company
z for various years are:
For 1996 = ((35/25)*100)%=140%; For 1997 = ((40/35)*100)% = 114.29%
For 1998 = ((45/35)*100)%=128.57%; For 1999 = ((35/40)*100)%=87.5%
For 2000 = ((35/50)*100)%=70%
Clearly, this percentage is highest for 1996.

Q.1

In which year,there has been a maximum percentage increase in the amount

invested inRawMaterials as compared to the previous year?

(a)1996

(b) 1997

(d) 1999

Ans .

1996

Explanation :
The percentage increase in the amount invested in raw-materials as
compared to the previous year, for different years are:
For 1996 = [((225-120)/120)*100]% = 87.5%
For 1997 = [((375-225)/225)*100]% = 66.67%
For 1998 = [((525-330)/330)*100]% = 59.09%
For 2000 there is a decrease.

Q.2

Inwhichyear, the percentage change (compared to the previous year) in the

investment onRaw Materials is the same as that in the value of sales of finished goods?

(a)1996

(b) 1997

(d) 1999

Ans .

1997

Explanation :
The percentage change in the amount invested in raw-materials and in the
value of sales of finished goods for different years are:
in year 1996 Percentage change in amount invested in raw-materials[((225-120)/120)*100]% = 87.5%
Percentage change in value of sales of finished goods[((300-200)/200)*100]% = 50%
in year 1997 Percentage change in amount invested in raw-materials[((375-225)/225)*100]% = 66.7%
Percentage change in value of sales of finished goods[((500-300)/300)*100]% = 66.67%
in year 1998 Percentage change in amount invested in raw-materials[((525-330)/330)*100]% = -12%
Percentage change in value of sales of finished goods [((400-500)/500)*100]% = -20%
in year 1999 Percentage change in amount invested in raw-materials[((525-330)/330)*100]% = 59.09%
Percentage change in value of sales of finished goods[((600-400)/400)*100]% = 50%
in year 2000 Percentage change in amount invested in raw-materials[((420-525)/525)*100]% = -20%
Percentage change in value of sales of finished goods [((460-600)/600)*100]% = -23.33%
Thus the percentage difference is same during the year 1997

Q.3

Whatwas the difference between the average amount invested in Raw Materials

during the given period and the average value of sales of finished goods during this period?

(a)Rs. 62.5 lakhs

(b) Rs. 68.5 lakhs

(d)Rs.77.51akhs

Ans .

Rs.77.51akhs

Explanation :
Required difference = Rs. [(1/6)*(200+300+500+400+600+460)- (1/6)*(120+225+375+330+525+420)] lakhs
= Rs. [(2460/6)-(1995/6)] lakhs = Rs.(410-332.5)lakhs = 77.5 lakhs.

Q.4

The value of sales of finished goods in 1999 was approximately what percent of the average amount invested in Raw Materials in the years 1997,1998 and 1999?

(a) 33%

(b) 37%

(d) 49%

Ans .

49%

Explanation :
Required percentage = [(600/(375+300+525))*100]% = 48.78% =>49%

Q.5

The maximum difference between the amount invested in Raw Materials and

the value of sales of finished goods was during the year:

(a) 1995

(b) 1996

(d) 1998

Ans .

1997

Explanation :
The difference between the amount invested in raw-material and the value
of sales of finished goods for various years are :
For 1995 = Rs.(200-120)lakhs = Rs. 80 lakhs
For 1996 = Rs.(200-225)lakhs = Rs. 75 lakhs
For 1997 = Rs. (500-375)lakhs = Rs. 125 lakhs
For 1998 = Rs. (400-330)lakhs = Rs. 70 lakhs.
For 1999 = Rs. (600-525)lakhs = Rs. 75 lakhs
For 2000 = Rs. (460-420)lakhs = Rs. 40 lakhs.
Clearly, maximum difference was during 1997

Directions(questions 1 to 4) : study the following bar-graph and answer the questions given below.

Production of fertilizers by a Company (in 10000 tonnes) over the Years aptitude question of CAT 2008

Q.1

In how many of the given years was the production of fertilizers more than

the average production of the given years?

(a)1

(b)2

(d)5

Ans .

Explanation :
average production of each year=$\frac{25+40+60+45+65+75+80}{8}$=48.75=49

Q.2

The average production of 1996 and 1997 was exactly equal to the

average production of which of the following pairs of years?

(a)2000 and 2001

(b)1999 and 2000

(d)1995 and 1999

Ans .

1995 and 1999

Explanation :
average production of 1996 and 1997=$\frac{40+60}{2}$=50
average of 2000 and 2001=$\frac{50+75}{2}$=62.5
average of 1999 and 2000=$\frac{65+50}{2}$=57.5
average of 1998 and 2000=$\frac{45+50}{2}$=47.5
average of 1995 and 1999=$\frac{25+75}{2}$=50

Q.3

What was the percentage decline in the production of fertilizers from 1997

to 1998?

(a) 331/3%

(b) 30%

(d) 21%

Ans .

25%

Explanation :
increase=60-45=15
%increase=(15/60)*100=25%

Q.4

In which year the percentage increase in production as compared to the

previous year the maximum?

(a) 2002

(b) 2001

(d) 1997

Ans .

2001

Explanation :
the percentage increase in production as compared to the
previous year is maximum in 2001

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