Data Interpretation Capsules - Edwin Jose, CAT DILR 100 Percentiler - Set 6

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DIRECTIONS: The following chart represents the number of students who passed the CAT exam or the XAT exam or the CET exam or None of these exams. (Assume that there are no students who passed more than one exam.)

(1) Which year showed the best result in MBA entrance exams (in terms of percentage of students who cleared)?
a) 2000
b) 2001
c) 2002
d) Cannot be determined

(2) What was the percentage of students who succeeded in at least one of three exams in 2000 ?
a) 82.4%
b) 82.8%
c) 82.35%
d) 83.3%

(3) What is the percentage increase in the number of students in 2002 over 2000 ?
a) 30 %
b) 17.64 %
c) 117.6 %
d) 85 %

(4) What is the percentage of students who cleared CAT in 2000 ?
a) 19.56 %
b) 12.65 %
c) 14.28 %
d) 11.76 %

Solution

(1) OPTION B
Compare the respective pass percentage for three years: 2000, 2001 and 2002
= (140 x 100)/170 < (150 x 100)/180 and (150 x 100)/180 > (160 x 100)/200
= 82.35% < 83.33% and 83.33% > 80%

(2) OPTION C
Total percentage of students who succeeded in at least one of three exams in 2000 = (140 x 100)/170 = 82.35 %

(3) OPTION B
Total percentage increase in the number of students in 2002 over 2000 is = (30 x 100)/170 = 17.64 %

(4) OPTION D
Total percentage of students who cleared CAT in 2000 = (20 x 100)/170 = 11.76 %

DIRECTIONS: Study the following table and answer the questions based on it.

(1) What is the average amount of interest per year which the company had to pay during this period?
a) Rs. 32.43 lakhs
b) Rs. 33.72 lakhs
c) Rs. 34.18 lakhs
d) Rs. 36.66 lakhs

(2) The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
a) 0.1%
b) 0.5%
c) 1 %
d) 1.25%

(3) Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002?
a) 62 %
b) 66 %
c) 69 %
d) 71 %

(4) The total expenditure of the company over these items during the year 2000 is?
a) Rs. 544.44 lakhs
b) Rs. 501.11 lakhs
c) Rs. 446.46 lakhs
d) Rs. 478.87 lakhs

(5) The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately?
a) 4:7
b) 10:13
c) 15:18
d) 5:8

Solution

(1) Option D
Average amount of interest paid by the Company during the given period
=Rs. (23.4 + 32.5 + 41.6 + 36.4 + 49.4)/5 lakhs
=Rs. 183.3/5 lakhs
=Rs. 36.66 lakhs

(2) Option C
Required percentage
= ((3.00 + 2.52 + 3.84 + 3.68 + 3.96))/((288 + 342 + 324 + 336 + 420))× 100
= 17/1710× 100
=1%

(3) Option C
Required percentage
= (288 + 98 + 3.00 + 23.4 + 83)/(420 + 142 + 3.96 + 49.4 + 98)× 100 %
= 495.4/713.36× 100 %
=69.45%

(4) Option A
total expenditure of the Company during 2000
= Rs. (324 + 101 + 3.84 + 41.6 + 74) lakhs
= Rs. 544.44 lakhs.

(5) Option B
Required ratio = (83 + 108 + 74 + 88 + 98)/(98 + 112 + 101 + 133 + 142)
= 451/586
=10/13

DIRECTIONS: Study the following bar chart and answer the questions carefully.

(1) What is the percentage change in the overall sales turnover of the five companies together between 2001 - 2002 and 2002 - 2003?
a) 17.21 %
b) 14.68 %
c) 12.67 %
d) 21.24 %

(2) What is the absolute change in overall sales turnover of the five companies together between 2001 - 2002 and 2002 - 2003?
a) 712.43
b) 142.48
c) 683.53
d) None of these

(3) Which of the companies shows the maximum percentage difference in sales turnover between the two years?
a) Honda
b) GM
c) Hyundai
d) Maruti

(4) What should have been the sales turnover of GM in 2002 - 2003 to have shown an excess of the same quantum over 2001 - 2002 as shown by the sales turnover of Maruti?
a) 953.76
b) 963.76
c) 952.76
d) 962.76

(5) What is the approximate difference between the average sales turnover of all the companies put together between the years 2001 - 2002 and 2002 - 2003?
a) 133.45
b) 142.48
c) 117.6
d) None of these

Solution

(1) Option B
The required answer is =
100 - percentage value of the fraction (Absolute change/first year's value).

(2) Option A
Absolute value of the difference between the sum of the turnover of the five companies for 2001 - 2002 and 2002 - 2003.

(3) Option C
Hyundai with 25.25 % is marginally higher than Honda with 24.5 %.

(4) Option D
GM should have increased its sales turnover by Rs.49.13 crore. Hence, the answer is 913.63 + 49.13 = 962.76.

(5) Option B
Difference between the sum of the two years divided by 5.