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QUESTION: 1

The table below shows the monthly sales of cars of four different companies in May 2009. Each company produces 5 different models of cars A, B, C, D and E. Cars of any two companies are not the same. For example Model A of F is not the same as that of Model A of G.

**Q.**

**Which of the following statements is true?**

Solution:

By observation, the dates on which at least one model of every car of every company has been sold are 4th, 13th, 15th, 18th, 20th, 25th, 26th, 29th and 31st, i.e., 9 days.

Hence, option 1.

QUESTION: 2

The table below shows the monthly sales of cars of four different companies in May 2009. Each company produces 5 different models of cars A, B, C, D and E. Cars of any two companies are not the same. For example Model A of F is not the same as that of Model A of G.

**Q.**

**Which of the following statements is true?**

Solution:

Adding column wise, we get

Total Model D cars which were sold but were not from G is = 229 + 91 + 9 0 = 410

Hence, option 1.

QUESTION: 3

The table below shows the monthly sales of cars of four different companies in May 2009. Each company produces 5 different models of cars A, B, C, D and E. Cars of any two companies are not the same. For example Model A of F is not the same as that of Model A of G.

**Q.**

**How many instances are there where the sales of a model of any company for two consecutive days is the same?**

Solution:

By actual counting, the number of such instances in May 2009 are found to be 20.

QUESTION: 4

**Q.**

**Best day of sales is defined as the day on which the total sales for all the models of all the companies together is highest. Which of the following days was the best day of sales for all the models of all the companies in the month of May 2009?**

Solution:

Adding row wise we get,

Total sales on 1st May is 56 units.

Total sales on 12th May is 184 units.

Total sales on 17th May is 129 units.

Total sales on 24th May is 114 units.

The best sales is on 12th May.

QUESTION: 5

**Q.**

**Which of the following statements is false?**

Solution:

The number of cars that were sold is as follows:

∴ From the table we can see that the statements in options 1, 2 and 3 are true.

Hence, option 4.

QUESTION: 6

A drug peddler operated from four different locations to avoid the local police traps. He had named these places as Tea Stall, Coffee Stall, Milk Stall and Juice Stall. This drug peddler dealt in six different types of drugs: Cocaine, Heroin, Opium, Marijuana, Morphine and Darvon. To camouflage his operations he sold these drugs in pre-packed envelopes. Further to facilitate his operations he had got all of these drugs packed according to the order size. The different envelopes he used to denote different sizes were known as Chota, Medium, Bada, Vazir, and Badshah. Each of the drugs was available in all the sizes of envelopes.

However an intelligent officer, Karamchand from Narcotics department received certain pieces of information from one of his sources, Lily. Before raiding on to the premises Karamchand decided to completely analyze the piece of information he had with him.

The first chart gave the details of the number of envelopes mentioned as a percentage of the total number of envelopes.

His second source, Liliput gave him additional information that the number of Vazir envelopes, as a percentage of total number of envelopes in each of the location, is not more than 1% in Coffee and Milk stall.

His third source, Parma opined that all the envelopes containing one or the other of the three drugs - Cocaine, Heroin and Darvon - were only in one or the other of the three envelopes - Chota, Medium or Bada.

**Q.**

If the information from the 1st and 2nd source is considered, then what could be the minimum percentage of Vazir envelopes as compared to the total number of envelopes, which Karamchand could expect in Tea stall?

Solution:

In Coffee Stall the total number of envelopes is 98 + 65 + 123 + 138 + 104 + 81 = 609. Since the number of Vazir envelopes as a percentage of total number of envelopes in each of the location is not more than 1% in Coffee and Milk stall, we have the maximum possible number of Vazir envelopes in Coffee Stall as 1% of 609. This implies that the maximum number of Vazir envelopes that could be found in Coffee stall would be 6.

Similarly, in Milk stall, since the total number of envelopes is 603, implying that the maximum number of Vazir envelopes here would be 6.

The total number of envelopes that we have at all the locations put together is 2400 (500, 609, 603 and 688) and total number of Vazir envelopes is 30% of 2400 = 720.

Now since we are supposed to minimize the number of Vazir envelopes in Tea Stall, all of the 688 envelopes in Juice stall should then belong to Vazir.

Total of Vazir envelopes at these three locations = 6 + 6 + 688 = 700. Hence the rest of 720 - 700 = 20 Vazir envelopes should be in Tea Stall.

Percentage of number of envelopes in Tea stall = 20/500 = 4%.

Hence, option 1.

QUESTION: 7

A drug peddler operated from four different locations to avoid the local police traps. He had named these places as Tea Stall, Coffee Stall, Milk Stall and Juice Stall. This drug peddler dealt in six different types of drugs: Cocaine, Heroin, Opium, Marijuana, Morphine and Darvon. To camouflage his operations he sold these drugs in pre-packed envelopes. Further to facilitate his operations he had got all of these drugs packed according to the order size. The different envelopes he used to denote different sizes were known as Chota, Medium, Bada, Vazir, and Badshah. Each of the drugs was available in all the sizes of envelopes.

However an intelligent officer, Karamchand from Narcotics department received certain pieces of information from one of his sources, Lily. Before raiding on to the premises Karamchand decided to completely analyze the piece of information he had with him.

The first chart gave the details of the number of envelopes mentioned as a percentage of the total number of envelopes.

His second source, Liliput gave him additional information that the number of Vazir envelopes, as a percentage of total number of envelopes in each of the location, is not more than 1% in Coffee and Milk stall.

His third source, Parma opined that all the envelopes containing one or the other of the three drugs - Cocaine, Heroin and Darvon - were only in one or the other of the three envelopes - Chota, Medium or Bada.

**Q.**

if the ratio of Vazir envelopes in Tea Stall and Juice Stall was 2 : 7, then what could have been the difference in the number of envelopes other than Vazir envelopes in both these locations, assuming that information from the 1st and 2nd source is correct?

Solution:

Let the number of Vazir envelopes in Tea Stall and Juice Stall be 2x and lx respectively.

Then, the envelopes which are not Vazir in Tea stall = 500 - 2x and in Juice stall = 688 - lx.

Let the total number of Vazir envelopes in Coffee and Milk stall bey.

Now, from the solution to the previous question, we have the total number of Vazir envelopes as 720. 2jc + lx +y = 720 andy < 12. 9x + y = 720.

For x to be an integer y has to be a multiple of 9 less than 12, hence y = 9

∴x = 79

Hence the required difference would be: 500 - 2x - (688 - 7x) = 5x - 188 = 5 x 79-188 = 207.

Hence, option 3.

QUESTION: 8

A drug peddler operated from four different locations to avoid the local police traps. He had named these places as Tea Stall, Coffee Stall, Milk Stall and Juice Stall. This drug peddler dealt in six different types of drugs: Cocaine, Heroin, Opium, Marijuana, Morphine and Darvon. To camouflage his operations he sold these drugs in pre-packed envelopes. Further to facilitate his operations he had got all of these drugs packed according to the order size. The different envelopes he used to denote different sizes were known as Chota, Medium, Bada, Vazir, and Badshah. Each of the drugs was available in all the sizes of envelopes.

However an intelligent officer, Karamchand from Narcotics department received certain pieces of information from one of his sources, Lily. Before raiding on to the premises Karamchand decided to completely analyze the piece of information he had with him.

The first chart gave the details of the number of envelopes mentioned as a percentage of the total number of envelopes.

His second source, Liliput gave him additional information that the number of Vazir envelopes, as a percentage of total number of envelopes in each of the location, is not more than 1% in Coffee and Milk stall.

His third source, Parma opined that all the envelopes containing one or the other of the three drugs - Cocaine, Heroin and Darvon - were only in one or the other of the three envelopes - Chota, Medium or Bada.

**Q.**

What could be the ratio of Chota, Medium and Bada envelopes containing the drugs Opium, Marijuana and Morphine in that order, if information from 1^{st} and 3^{rd} source is believed to be true?

Solution:

t is known that the envelopes containing one or the other of the three drugs: Cocaine, Heroin and Darvon, were in one or the other of the three envelopes: Chota, Medium and Bada only.

Total number of envelopes containing one or the other of the above three drugs would be: 384 + 367 + 402 = 1153.

Since the total number of envelopes is 1200 (Chota, Medium and Bada), the number of same envelopes for other drugs would be: 1200 - 1153 = 47.

Then we have x + y + z = 47. (x: Chota envelopes for other drugs, y: Medium envelopes for other drugs and z: Bada envelopes for other drugs) Now looking at the options, only option 3 fits in.

Hence, option 3.

QUESTION: 9

His third source, Parma opined that all the envelopes containing one or the other of the three drugs - Cocaine, Heroin and Darvon - were only in one or the other of the three envelopes - Chota, Medium or Bada.

**Q.**

f the Chota envelopes containing Opium, Marijuana and Morphine are the maximum possible, then the number of envelopes of Opium in Coffee Stall that are not Chota, Medium or Bada cannot be less than____

(Assume information from 1^{st} and 3^{rd} source to be true.)

Solution:

The maximum possible number of Chota envelopes containing Opium, Marijuana and Morphine can be 47, as seen in the solution to the previous

In order to minimise the number of envelopes containing Opium that do not belong to any of the Chota, Medium or Bada envelope, we must maximise the number of envelopes of Opium that are contained in Chota envelopes.

The total number of Opium envelopes at Coffee stall is 123.

Hence the required answer = 123 - 47 = 76.

Hence, option 2.

QUESTION: 10

His third source, Parma opined that all the envelopes containing one or the other of the three drugs - Cocaine, Heroin and Darvon - were only in one or the other of the three envelopes - Chota, Medium or Bada.

**Q.**

The number of envelopes of how many of the mentioned drugs is less than the average number of envelopes per variety of the mentioned drugs?

Solution:

The total number of envelopes is 2400. Hence the average number of envelopes for each drug would be 400.

The number of envelopes of Cocaine, Heroin and Morphine is less than the average number of envelopes per variety for each drug.

Hence, option 2.

QUESTION: 11

His third source, Parma opined that all the envelopes containing one or the other of the three drugs - Cocaine, Heroin and Darvon - were only in one or the other of the three envelopes - Chota, Medium or Bada.

**Q.**

What is the maximum possible number of Badshah envelopes at the Coffee stall?

Solution:

We know all the envelopes containing one or the other of the three drugs- Cocaine, Heroin and Darvon- were in one or the other of the three envelopes: Chota, Medium and Bada only.

Hence, in order to maximise the number of Badshah envelopes at the Coffee stall, we assume that the rest of the drugs are present in only Badshah sizes.

Hence, the maximum number of Badshah envelopes at the Coffee stall is 123 + 104+ 138 = 365

Hence, option 4.

QUESTION: 12

Study the following pie charts regarding the sales of 5 models of motorcycles for the years 2011 and 2012 and answer the questions.

**Q.**

**In 2011, sales of all models was 12,00,000 and it grew by 25% in 2012. What is the approximate increase in sales of number of motorcycles of brand B in 2012 over 2011?**

Solution:

Sales of Brand B in 2011 =

ales of Brand B in 2012 =

Increase in sales = 2,25,000 - 1,68,000 = 57,000

Hence, option 3.

QUESTION: 13

Study the following pie charts regarding the sales of 5 models of motorcycles for the years 2011 and 2012 and answer the questions.

**Q.**

**If total sales of all motorcycles is 12,00,000 in 2011 and it grew by 25% in 2012, what was the approximate percentage growth in sales of brands A and E together from 2011 to 2012?**

Solution:

Total sales of all motorcycles in 2012 = 1.25 x 12,00,000 = 15,00,000 Marks

Sales of Brand A and E in 2011 =

Increase in sales = 4,50,000 - 3,48,000 = 1,02,000

Sales o f Brand A and E in 2012 =

Hence, option 2.

QUESTION: 14

The first table shows the number of saris (of eight colours) stocked in six regional showrooms. The second shows the number of saris (of all eight colours) sold in these six regional showrooms. The third table shows the percentage of saris sold to saris stocked for each colour in each region. The fourth table shows the percentage of saris of a specific colour sold within that region. The fifth table shows the percentage of saris of a specific colour sold across all the regions. Study the tables and for each of the following questions, choose the best alternative.

Which region-colour combination accounts for the highest percentage of sales to stock?

Solution:

The most important thing here is to identify the correct table from which the data is to be obtained for calculations.

Percentage of sales to stock implies the percentage of saris sold to saris stocked for each colour in each region.

This information is given in table 3.

answer option.

In region 1, the percentage of sales to stock for brown saris is 52%..

In region 2, the percentage of sales to stock for yellow saris is 46%.

In region 4, the percentage of sales to stock for brown saris is 74%.

In region 5, the percentage of sales to stock for red saris is 30%.

Thus, (4, Brown) has the highest percentage of sales to stock.

Hence, option 3.

QUESTION: 15

The first table shows the number of saris (of eight colours) stocked in six regional showrooms. The second shows the number of saris (of all eight colours) sold in these six regional showrooms. The third table shows the percentage of saris sold to saris stocked for each colour in each region. The fourth table shows the percentage of saris of a specific colour sold within that region. The fifth table shows the percentage of saris of a specific colour sold across all the regions. Study the tables and for each of the following questions, choose the best alternative.

**Q.**

Which colour is the most popular in region 1 ?

Solution:

This question can be interpreted in two ways:

1) “Which colour of saris shows the highest sales in region 1?” It can be seen from table 2 that brown saris show the highest sale (165) in region 1.

2) “Which colour of saris shows the highest percentage of sales to stock in region 1?” It can be seen from table 3 that yellow saris show the highest percentage of sale to stock (54%) in region 1.

However, yellow is not one of the answer options.

Hence, brown is the most popular colour in region 1.

Hence, option 2.

QUESTION: 16

The first table shows the number of saris (of eight colours) stocked in six regional showrooms. The second shows the number of saris (of all eight colours) sold in these six regional showrooms. The third table shows the percentage of saris sold to saris stocked for each colour in each region. The fourth table shows the percentage of saris of a specific colour sold within that region. The fifth table shows the percentage of saris of a specific colour sold across all the regions. Study the tables and for each of the following questions, choose the best alternative.

**Q.**

Which region sold the maximum percentage of magenta saris out of the total sales of magenta saris?

Solution:

This information can be directly obtained from table 5.

The maximum percentage of magenta sari sales came from region 1 (44%).

Hence, option 4.

QUESTION: 17

**Q.**

Out of the total regional sales, which region showed the minimum percentage of green sari sales?

Solution:

Sales of a particular colour as a percentage of a particular region are given in table 5.

From table 5 it is evident that the sale of green saris as a percentage of the total sales from that region was the least for region 6.

Hence, option 2.

QUESTION: 18

**Q.**

In which region is the maximum percentage of blue saris sold?

Solution:

The regional sales as a percentage of total sales of blue saris is given in table 5.

From table 5 it can be seen that the maximum number of blue saris sold were in region 2 (33% of the total blue sari sales).

Hence, option 1.

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