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. Explanation :

    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. Explanation :

    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. Explanation :

    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%


  1. Explanation :

    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


  1. Explanation :

    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. Explanation :

    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. Explanation :

    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. Explanation :

    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. Explanation :

    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


  1. Explanation :

    1. Simple calculations in this case.
      However, if the numbers had been more complex the answer could bave been found by calculating the net surplus/deficit above/below an assumed average, dividing it by the number of years to get the average surplus/deficit and adding! subtracting the average surplus/deficit from the assumed average to get the required answer. These steps are iIIust;ated below.
      Assume the average to be 3.
      Then 2.8 will give a deficit or 0.2.
      3.1,3.2 and 3.4 wilt give surpluses of Gl, 0.2 and 0.4 respectively.
      The net surplus will be: (0.1+0.2 + 0.4)- (0.2) = 0.5.
      The average surplus is: 0.5/5 = 0.1.
      Hence the required average is 3 + 0.1 =3.1.
    2. For the highest percentage increase on a line graph, always focus on locating the part of the graph with the highest slope.
    3. All the four years show an increase greater than 3%.
    4. If the percentage change in price is 10% consecutively for 4 years, then the overall percentage change can be calculated on the percentage change graphic (explained earlier).
      l00 -> 110 -> 121 -> 133.1 -> 146.41 (i.e.a46.1% increase in the price)
      Besides there is a 6/28 = 21.4% (approx. increase in the production)
      The percentage change in the product will be:
      100 + 46.1% > 146.1 + 21.4% > 177 (approx.).
      Then the required ratio = 100/177 = 0.56 (approx.)
    5. 2.80 x 90.9090 = 254.54
    6. The production for the year 2001- 02 will be 3.5 million tones. Further, when the production was 3.1 million tones, the value was Rs 341 crore, i.e. the price was Rs 110 per ton. Hence with the same price the new value would have been Rs 385 crore. According to Q. 4 the price will rise by 10%. Hence the value will be 385 + 10% of 385 = 423.5. Repeat the 10% increase thrice to get 512.435.
    7. As already explained, you should solve this question through options. In this ease since options are not there, try to assume different average annual growth rate values and go through trial and ermr. The required rate should give an increase from 2.8 to 3.4 in 4 years.
    8. Since the average is 3.1, the answer will be 2 years




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


  1. Explanation :

    1. Visual question
    2. In this ease you can afford to neglect the last two digits to get the answer.
      The calculation will simplify to:
    3. Average turnover = \(\frac{64 +65 +63 +69+78}{5}\) = 339/5 = 67.8
    4. Visual question.
    5. Average calculation. Do it by assuming the average at 300 and calculating deviations.
    6. For this question, there is no point calculating the cost for each year. The answer for the maximum ratio will also be got by checking for the maximum profit as a percentage of turn over. (The student is advised to think about why this bappens?) After this adjustment the question becomes one of visual checking of ratios.
    7. The required answer will be given by: (322.1/6294.4) - (322.116516.5)
    8. 1999-2000.
    9. This cannot be determined since there is no indication of the other costs like overheads, taxes etc. Hence, the equation [Cost/Cost per ton] cannot be used.




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. Explanation :

    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. 85.15%
  2. Edmunds.com
  3. 3659
  4. Autoweb.com
  5. 5
  6. 10
  7. 5th
  8. EbayMotors.com
  9. 10
  10. CBB.com and Autoweb.com
  11. Cars.com & EbayMotors.com

  1. Explanation :

    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. Radio Telephone Communication
  2. Electric Services
  3. 149
  4. 9
  5. 20.125
  6. 331% approx
  7. 50% approx
  8. 5% approx
  9. Life Insurance
  10. 2nd


  1. Explanation :

    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. 99-00
  2. 00-01
  3. 97-98
  4. 52.71
  5. 89.01%
  6. 3


  1. Explanation :

    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. Rs 11.54 lakh
  2. Rs 17.03 lakh
  3. 53.33%
  4. 189.09 crore
  5. 60%
  6. 11
  7. 0.043


  1. Explanation :

    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. Monster.com
  2. 2.15
  3. Jobsonline.com
  4. 6th
  5. Can't be determind
  6. Can't be determind
  7. Can't be determind
  8. Can't be determind
  9. Can't be determind
  10. 11


  1. Explanation :

    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. 11.3
  2. 200%
  3. 8
  4. Can't be determined
  5. 21.56%
  6. 17
  7. 340%
  8. Japan
  9. 4th
  10. Euroland
  11. 3


  1. Explanation :

    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. 84.79%
  2. 9.15%
  3. Non-coking coal
  4. 9.09%
  1. Coking Coal imports/Non-coaking coal imports
  2. 93.67%
  3. 93.27%
  4. 96.41%


  1. Explanation :

    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


  1. Explanation :

    1. 156.4
    2. Two
    3. Little millet




Ans .

    1. sikkim
    2. Uttaranchal
    3. Tripura
    4. Chandigarh
  1. 29
  2. 11
  3. 10


  1. Explanation :

    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.