Ans .
1. Six
2. Eggplant 2.74%
Cauliflower 7.89%
Chilli 6.12%
Onion 2.85%
Pea 19.84%
Radish 0.36%
3. 59.4 g/ha
4. Chilli (green)
5. Cucumber
6. Chilli (green)
7. Cucumber
8. 31.96%
9. 62.16%
10. 59.20%
11. (a) Cannot be determined (b) 16.22%
1. Visual questions.
2. The required calculation would be = \(\frac{Difference\,of\,productivity\,[India-World]}{World's\,average\,productivity}\)
3.\(\frac{World's\,average\,productivity\,of\,cabbage\,-\,India's\,productivity\,of\,cabbage }{India's\,productivity\,of\,cabbage}\)
4-7. Use principals of maximisation and minimisation of ratio.
11.(a).The absolute value increase cannot be determined
since we do not have any data about the
amount of land under usage for the production
of beans.
11.(b).The required value will be given by: \(\frac{80-68.83 }{68.83} \times 100\) =
\(\frac{80-68.83 }{68.83} \times 100\)
Ans .
1. 1998-99
2. 8.61%
3. 1998-99
4. 6.1 million litres
5. 1987-88
6. 1.30%
7. 1987-88
8. 1.30%
9. 180.37%
10. 5.03% approx
11. 1247.3 million litres
1. The maximum increment between two consecutive years will be given by the steepest slope.
(clearly seen in 1998-99)
2. The percentage increment = \(\frac{76.9-70.8}{70.8} \times 100\) = \(\frac{6.1}{70.8} \times 100\).
3. A close inspection will make you compare between 1981-82 and 98-99. The ratios are \(\frac{2.7}{31.6}\)
for 1981-82 and \(\frac{6.1}{70.8}\) for 98-99. You will need to calculate in the 0.1% range (for the
percentage equivalents of these ratios).
4 - 8. The pattern of questioning is repetitive.
9. 88.6-31.6131.6 x 100 .
11. You will be required to calculate an approximate
percentage value which will yield 88.6 from 31.6 in
21 years. Such calculations will not be required to
be done in an examination context, so you need not
worry about this question. Even if such a calculation
is seemingly posed in the paper, there will definitely
be a logical process to get to the correct answer.
Ans .
1. 4 US dollars
2. 31$ US dollars
3. 121.1 US doUars
4. 10 litre of milk in Australia
5. 9 litre
of milk in USA
6. 1.7 times approx.
7. 11.2 US dollars
8. 29.61 US dollars
9. Rs 1421.48
1-9. The questions are self-explanatory ..
10. The required pie chart will be obtained by calculating
the value of the milk consumption in Rupees.
This value will be derived by price/litre x no. of litres
consumed.
The sum of these values obtained for all the six countries
will give the total value of the milk consumed
in the six countries. Take this value as 100% and
create a pie chart for this 100% divided into six sectors.
Ans .
1
. 1997
2. 1997
3. 2002
4. 2002
5. 4048
6. 1888
7. 5968
8. 1297
9. 21.87%
10. 32.25%
All the questions are regular calculation-based questions
Ans .
1. 25%
2. 12.16%
3. 20.98%'
4. 11.48%
5. 25.27%
6. 20.32%
7. 9586659
8. 9594613
9. 0.995
10. 0.994
All the questions are regular calculation-based questions. The student is advised to go through the calculations for practice.
Ans .
Erratta
Consumption = Production + Imports - Exports
1. 11011
2. 13563
3. 16482
4. 49.68%
5. 21.52%
6. 23.17%
7. 19288
8. 2117
9. 58.17%
10. 46.97%
1-3. production + imports - exports = consumption for each of the three years asked.
4-10. All the questions are self-explanatory and calculation based.
Ans .
1. 41.26,45.14, 53.99, 80.32,103.72, 115.24
2. 3.88, 8.85, 26.33, 23.4, 11.52
3. -18.3%
4. -2.7%
5. 11.59
6. Four
7. Zero
8. 1996-97
9. 2000-01
10. Import
11. 892.38
1. For the-year 1995-96:
Closing inventory = 20 + 167.45 + 0.5 - 138.29-
8.40 = 41.26 .
For the year 1996-97:
Closing inventory = 41.26 + 178.70+ 0.3 - 158.30-
16.82 =45.14
Similarly calculate the closing inventories for all
other time periods.
2. The difference between closing inventories of two
consecutive years is given by:
closing inventory in Year 2 - closing inventory in
year 1.
Calculate these for all the five consecutive years.
Thus for 1995-96 to 1996-97 it will be: 45.l4-
41.26 = 3.8&.
Note here that even if the difference is negative we
will take the absolute value of the difference,
3. The required answer will be given by 21.45/167.45.
4. This will have to be calculated in the context of compounded
annual growth rate.
In this case, given options, you will have to follow
approximations to solve the question.
5. The absolute increase in consumption over the period
is 149.88 -138.29 = 11.59.
6. The condition is met for the years 1997-98,98-99,
99-00 and 2000-01.
7. The condition is met for the years 1995-96, 1996-
97,1997-98 and 1998-99.
8. Production has grown only for two years viz: 1996-
97 and 1998-99. Visual inspection shows that 1996-
97 is clearly showing higher growth than 1998-99.
9. Since percentage change is being talked about, all
the years have to be considered irrespective of
whether the year shows an increase or a decrease.
10. It's very obviously for imports.
11. (138+ 158+ 149+ 145+150+ 149)=889+(29+30
+ 78 + 53 + 60 + 88) = 892.38
.Alternately the calculation can be done by:
600 + (38+ 58+ 49 + 45 + 50 +49) = 889 + decimals.
Ans .
1. 17.47% down
2. 27.3% down
3. 12.99"10
4. 7.93%
5. Rs 122141.71 Cr.
6. Rs 106508.82
7. 12.79%
8. 0.872
9. 14.67%
10. 402 times'
11. 20.08%.
12. 3.46 times
1-2. Arc simple percentage calculation questions. The
degree of accuracy that you should aspire for while
calculating the required percentage change would
depend on the options available in the question.
3. Percentage change in BEML M-Cap - Percentage
change in ONGe M-Cap.
4. Percentage change in HOC M-Cap-Percentage
change in Chennai Petroleum M-Cap.
5-6. Plain additions based questions. For speed, add two
digits at a time. Answers: 122141.71 and 106508.82.
7. Percentage change between total market cap as on
06/09/05 10 the total market cap us on 20/09/05.
You will get a close answer by considering the first
four digits. (156/1221 will give you 12.77%).
If you had calculated only considering three digits
you would get 16/122 = 13.11%.
Again in a real life test, you would calculate this
answer with an eye on selecting the COITCCl option
only. (the exact answer required is 12.79%).
8. Given the answer to the question above, the required
answer will be given by 1- 0.1279 = 0.8721.
9. The reverse of the calculation for Question 7,. i.e: \(\frac{1221-1065}{1065}\)
10-12. Are plain ratio and percentage calculations.
Ans .
1. 576 crore
2. 107.6%
3. 2088 crore
4. 1206 crore
S. 3888 crore
6. 12
7. 11:30
8. 1
9. 44/5
11. 316.8 crore
12. 500%
1. 8% of 7200 = 72 x 8 - 576
2. 14/13= 107.69%
3. Maximum difference will be given by:
Sector with the maximum share - Sector with the minimum share.
= 30 - 1 = 29% of 7200 = 72 x 29 = 2088 crores.
4 \(\frac{30+14+13+10}{4}\) = 16.75% of 7200 720+360+72 + 54 = 1206
5. The maximum difference possiblc would be if Group
A is maximised and group B minimised.
Hence put the 5 biggest sectors in group A and the 5
smallest sectors in Group B.
The result would be: (30+14+13+10+10)- (1+4+4+6+8)
54% of 7200 = Rs 3888 crores
6. The possible triplets arc:
4+4=8(twice),6+4=10 (fourtimes),6+8= 14
(once), 10+4= 14 (four times) and 13+1= 14 once.
7. 7.11:30
8. For a sector to show an expenditure of over Rs 1010
crore, it should account for just above 14% of the
total expenditure. There is only one sector which
meets the condition.
9. (30 + 14):(1 + 4) = 44:5.
11. The required answer will be given by 4% of 7920 = 316.8.
Ans .
1. 3.1
2. 97-98
3. 4
4. 0.56
5. Rs 254.54 mm
6. Rs 512.435 mm
7. 5%
8. 2
Ans .
1. 98-99
2. 2
3. 00-01
4. 395.7
5. 96-97
6. 0.25
7. 99-00
8. Cannot br determined
Ans .
1.00-01
2.2217
3.97-98
4.98-99
5.2nd
6.90.43%
7.97-98
8.1998-99
9.19.5%
10.1373.84
1. Visually solvable.
2. Calculation based question.
3. The difference sbould be maximum and the net worth
should be minimum. Alternately, it can also be solved
by looking at the ratio between borrowings and net
worth.
4, 5-6. Approximate the calculations to two digits.
7. The highest height will be for the year 1997-98.
8. Calculate average net worth by assuming 3600 as
the average and finding out the deviations. Then compare
the average of the net worths with the actual
values for the years shown.
9. The percentage increase in borrowings in 98-99 was
approximately:36/457 = 8% (approx.). Thus, if'borrowings
bad increased by 8%, il would have been
4907 +8% of 4907 = 5297 (approx.). Thus, net worth
should be at least 5397 (an increase of 5397- 4517
= 880 on 4517 = 19.5% (approx.)
10. The percentage difference between the net worth
between 99-00 and 00-01 will be replicated in the
average closing value of the stock.
. Thus, the required answer will be given by: \(\frac{4851 \times 1279.25}{4517}\)
An approximate calculation would be: . \(\frac{485 \times 1280}{451}\)
Ans .
1 & 2. Are direct calculation based questions -. involving ratios and averages ..
3. One of the two pools will have to contain-the top
five sites and the other will have to consist of the
bottom five sites, for the required condition.
4. Obviously the lowest ranked site having the least
number of uniques visitors should be discarded.
5 & 6. Visual Question (The skills required for solving
such questions essentially consist of quick and accurate
visual interpretation of the data. Such questions
have been very popular in the CAT after 2001).
7. Cars.com will come after the three sites starting with
the letter' A'. Also, later than the site Carpoint.com
since that site has a -higher number of unique visitors
than Cars.com.
8. 3 sites starting with A and 3 sites starting with C
will occupy the first six places. Edmunds.com will
be seventh, hence EBayMotors.com will be eighth.
9. All the ten sites can be seen to have a change in their
ranks.
10. The first and the last ranker in the original list.
11. Visual ratios calculation.
Ans .
1. The answer is visually clear.
2. A closer look is needed between electric services,
commercial banks and crude petroleum and natural gas, These are short listed visually and
then an accurate comparison
is made between them.
3. Estimate approximate values of each of the sectors
and add for the two years independently to get the
required answer.
4. Visual .
5. For getting the required average you will need to
add up the individual sales of each of the sectors
and divide by the number of sectors(8 only, since
man-made fibres and cigarettes are not represented ,
in 1998.)
6. The total communications are defined as
Radiotelephone communications+ Telephone communications
except radiotelephone + other communication services.
Calculate the required ratio.
7. Simple percentage calculation = 16/35 = 46%
approx.
8-10. Are all calculation specific questions testing your
ability to add, subtract, calculate percentages and ratios.
Ans .
1. The main comparison is between the years 1998-99,
1999-00 and 2000-01. The values of 1998-99 and
1999-00 are very close. Calculation through percentage
rule gives 1999-00, greater than 1998-99.
2. Visual interpretation question.
3. The required ratio will be the highest when the net
profit as a percentage of revenues is minimum. 1997-
98 Is the obvious answer.
4. Turnover will rise by.approximately 71.6%.
1.716 x 34.5 - 6.5 will give the required answer.
5. Percentage value of the fraction (52.71/59.21)-
89%.
6. The ratio has to be greater than 7 times. This is true
from 1995-96 to 1997-98.
Ans .
1. 293.8/2544
2. (321 - 107)/1256
3. (107/321)
4. 63% of 293.8.
S. 60 % since the ratio of products to services is 40:60.
6. Between 58.861293.8 and 107/321 the second is obviously
greater.
7. 165.86/3800
Ans .
1. The highest power rank is obviously for monster.com
since it has the highest reach as well as the highest
average.
2. Add the total of the first column and divide by 11.
3. Hot jobs will be behind headhunter. net and
Jobsonline.com apart from monster.com
4. Careerbuilder will be ranked fifth and dice.com will
come in sixth.
5-9. There is no data about the number of visitors each
site. Hence Q.5 cannot be answered. Besides nothing
can be said about the number of pages visited on
any site since this depends on the number of visitors
to the site which is unknown [even though the average
number of pages per visitor is known]. Hence
6-9 cannot be answered.
10. Visual question
Ans .
1. Add and divide by the number of regions.
2. 22/11 = 200%
3. Out of Nine regions the trade deficit for Mexico and
others is the same. Hence, 8 is the answer.
4. Cannot be determined since the data provided does
not give us any information about the break up of
the trade deficit in terms of imports and exports.
5. The total trade deficit is: (22+8 + 11 +9 +7 + 9 + 5 + 15 + 16) - 102.
Out of this the trade deficit to China (22) is eliminated. Thus the percentage change
will be the percentage equivalent of the fraction 22/102 = 21.S6%.
6. 22 - 5 = 17
7. 17/5=340%
8. Trade deficit [Mexico + OPEC] = 9+7 =16. This is equal to Japan's trade deficit.
9. Mexico will be joint fourth with others after W.Europe, OPEC and Pacific Rim.
10. Canada will rank sixth and Euroland will be seventh.Note that there Win be DO fifth rank as the fourth
rank is jointly shared by two regions.
11. The average trade deficit is 102/9 =11.3333.
There are three regions which exhibit a trade deficit
higher than 11.333.
Ans .
1. 275.45/324.85 2. Total availibility of coal = 379.40. Coaking coal production = 34.75 Required percentage will be th percentage equivalent of the ratio 34.75/379.40 3. Visual inspection will show the answer to be non-coking. 5. Percentage equivalent of the ratio 27.55/303 = 9.09% 6. Find out the possible candidates tor the ratio to be closest to 3 and compare these ratios. For this purpose shortlist the possible values denominator.Thus 254.8 cannot betaken in the denominator since there is no value ciose to 750 in the table. The possible denominator options are: 7.2,4.8,1.85,13.4 and 15. The ratio closest to 3 wiil be 15/4.8. 7. Percentage equivalent of the ratio 379.4/405 = 93.67% 8. Percentage equivalent of the ratio 329.65/353.40 = 93.27% 9. Percentage equivalent of the ratio 49.75/51.6 = 96.41%
Ans .
paste right option
Ans .
1-2. calculations based questions.
3. The national average is 8547/411 = 20.8. There are eleven states above this fiqure.
4. The total numbers of IEMs filed is 41159. To cross 80% of this figure using the minimum number of
state start adding the states in reducing order of the number of IEMs tiled.