# Data Interpretation Capsules - Edwin Jose, CAT DILR 100 Percentiler - Set 5

• DIRECTIONS: Study the following table and answer the questions based on it. (1) For which state the average number of candidates selected over the years is the maximum?
a) Delhi
b) H.P
c) U.P
d) Punjab

(2) The percentage of candidates qualified from Punjab over those appeared from Punjab is highest in the year?
a) 1997
b) 1998
c) 1999
d) 2000

(3) In the year 1997, which state had the lowest percentage of candidates selected over the candidates appeared?
a) Delhi
b) H.P
c) U.P
d) Punjab

(4) The number of candidates selected from Haryana during the period under review is approximately what percent of the number selected from Delhi during this period?
a) 79.5%
b) 81%
c) 84.5%
d) 88.5%

(5) The percentage of candidates selected from U.P over those qualified from U.P is highest in the year?
a) 1997
b) 1998
c) 1999
d) 2001

Solution

(1) Option A
The average number of candidates selected over the given period for various states are:
For Delhi = (94 + 48 + 82 + 90 + 70)/5 = 384/5 = 76.8
For H.P = (82 + 65 + 70 + 86 + 75)/5 = 378/5 = 75.6
For U.P = (78 + 85 + 48 + 70 + 80)/5 = 361/5 = 72.5
For Punjab = (85 + 70 + 65 + 84 + 60)/5 = 364/5 = 72.8
For Haryana = (75 + 75 + 55 + 60 + 75)/5 = 340/5 = 68
Clearly, this average is maximum for Delhi.

(2) Option D
The percentages of candidates qualified from Punjab over those appeared from Punjab during different years are:
For 1997 680/8200 × 100 = 8.29%
For 1998 600/6800 × 100 = 8.82%
For 1999 525/6500 × 100 = 8.08%
For 2000 720/7800 × 100 = 9.23%
For 2001 485/5700 × 100 = 8.51 %

(3) Option D
The percentages of candidates selected over the candidates appeared in 1997, for various states are:
For Delhi 94/8000 × 100 = 1.175%
For H.P 82/7800 ×100 = 1.051%
For U.P 78/7500 × 100 = 1.040%.
For Panjab 85/8200 × 100 = 1.037%.
For Haryana 75/6400 × 100 = 1.172%
Clearly, this percentage is lowest for Punjab.

(4) Option D
Required percentage = [(75 + 75 + 55 + 60 + 75)/(94 + 48 + 82 + 90 + 70)] × 100
= 340/384×100
= 88.54%

(5) Option B
For 1997 78/720 × 100 = 10.83%
For 1998 85/620 × 100 = 13.71%
For 1999 48/400 × 100 = 12%
For 2000 70/650 × 100 = 10.77%
For 2001 80/950 × 100 = 8.42%

DIRECTIONS: Study the following table and answer the questions. (1) What was the approximate percentage increase in the sales of 55AH batteries in 1998 compared to that in 1992?
a) 28 %
b) 31 %
c) 33 %
d) 34 %

(2) The total sales of all the seven years is the maximum for which battery?
a) 4AH
b) 7AH
c) 32AH
d) 35AH

(3) What is the difference in the number of 35AH batteries sold in 1993 and 1997?
a) 24000
b) 28000
c) 35000
d) 39000

(4) The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the year?
a) 1994
b) 1995
c) 1996
d) 1997

(5) In case of which battery there was a continuous decrease in sales from 1992 to 1997?
a) 4AH
b) 7AH
c) 32AH
d) 35AH

Solution

(1) OPTION D
Required percentage = [(140-108)/108 × 100] = 34.26

(2) OPTION C
The total sales (in thousands) of all the seven years for various batteries are:
For 4AH = 75 + 90 + 96 + 105 + 90 + 105 + 115 = 676
For 7AH = 144 + 126 + 114 + 90 + 75 + 60 + 85 = 694
For 32AH = 114 + 102 + 75 + 150 + 135 + 165 + 160 = 901
For 35AH = 102 + 84 + 105 + 90 + 75 + 45 + 100 = 601
For 55AH = 108 + 126 + 135 + 75 + 90 + 120 + 145 = 799.

(3) OPTION D
Required difference = [(84 - 45) x 1000] = 39000.

(4) OPTION D
The percentages of sales of 4AH batteries to the total sales in different years are:
For 1992 = 75/543 × 100=13.81%
For 1993 = 90/528 × 100=17.05%
For 1994 = 96/525 × 100=18.29%
For 1995 = 105/510 × 100= 20.59%
For 1996 = 96/465 × 100=19.35%
For 1997 = 105/495 × 100=21.21%
For 1998 = 115/605 × 100=19.01%

(5) OPTION B
From the table it is clear that the sales of 7AH batteries have been decreasing continuously from 1992 to 1997.

DIRECTIONS: The following bar chart represents the GDP of different countries during the half decades 2001 - 2005 and 2006 - 2010. All figures are in Rs. billion. (1) Which of the countries listed below accounts for the maximum GDP during the half decade 2006 to 2010?
a) UAE
b) US
c) India
d) China

(2) The GDP of UAE is what fraction of GDP of the UK for the decade (approximately)?
a) 1/4 th
b) 1/5 th
c) 1/6 th

(3) Which of the countries listed below accounts for the highest GDP during the half decade 2001 to 2005?
a) Russia
b) China
c) India
d) UAE

(4) Out of every Rs. 10,000 spent during the decade 2001 - 2010 approximately how much was the GDP of Russia during the half decade 2001 - 2005?
a) Rs 700
b) Rs 1400
c) Rs 2800
d) None of these

Solutions

(1) Option B
It's clear that US is the highest amongst the given options.

(2) Option B
(10/50) = 20% = (1/5)th

(3) Option A
It's clear that Russia is the answer.

(4) Option D
Russia will account for 10 out of 125, i.e., 8% of the total, i.e. 800 out of 10,000 (approximately values based on visual interpretation).

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