[Download PDF] MAT 2004 Paper with Solutions

Instructions

The following graph represents the Gross Receipts of three fast food restaurants from 2000-2002. Use it to answer these questions:

Question 11

The 2000-2002 gross receipts for Mega Burger exceeded those of Pizza Pie by approximately

Video Solution

Solution

Gross receipts of mega burger = 2.5 + 2.5 + 3.4 = 8.4 million

Gross receipts of pizza pie = 1 + 2 + 3 = 6 million

=> Required difference $$\approx2$$ million

=> Ans - (B)

Question 12

From 2001-2002, the percent increase in receipts for Pizza Pie exceeded the percent increase of Mega Burger by approximately

Video Solution

Solution

% increase in receipts of pizza pie from 2001-2002 = $$\frac{(3-2)}{2}\times100=50\%$$

% increase in receipts of mega burger from 2001-2002 = $$\frac{(3.4-2.5)}{2.5}\times100=36\%$$

=> Required difference $$\approx15\%$$

=> Ans - (D)

Question 13

The 2002 decline in Crunchy Chicken receipts may be attributed to the

Video Solution

Solution

In 2002, there are increasing receipts of burgers and pizzas, but we cannot say for sure, why it declined for crunchy chicken.

=> Ans - (C)

Instructions

The Following graphs represent Gross Receipts of all the major fast Food restaurants from 2001-2003. Use them to answer these questions:

Question 14

The gross receipts for 2001 are approximately what percent of the gross receipts for all the three years?

Video Solution

Solution

Gross receipts for 2001 = Rs. 75,00,000

Gross receipt for all three years = Rs. (75,00,000+85,50,000+81,00,000) = Rs. 2,41,50,000

=> Required percentage = $$\frac{7500000}{24150000}\times100\approx30\%$$

=> Ans - (A)

Question 15

Over all the three years, the average percentage of gross receipts for Crunchy Chop exceeds the average percentage of gross receipts for Pizza Pie by approximately

Video Solution

Solution

Gross receipts of Crunchy Chop over the years = $$(\frac{46.3}{100}\times75,00,000)+(\frac{40.60}{100}\times85,50,000)+(\frac{12.30}{100}\times81,00,000)$$

= $$34,72,500+34,71,300+9,96,300=79,40,100$$

Gross receipts of Pizza Pie over the years = $$(\frac{12.80}{100}\times75,00,000)+(\frac{24.60}{100}\times85,50,000)+(\frac{37}{100}\times81,00,000)$$

= $$9,60,000+21,03,300+29,97,000=60,60,300$$

=> Required % $$\approx\frac{(80,00,000-60,00,000)}{60,00,000}\times100$$

= $$\frac{100}{3}=33.3\approx30\%$$

=> Ans - (B)

Question 16

The gross receipts earned by the other restaurants in 2002 amount to precisely

Video Solution

Solution

Total gross receipts for 2002 = Rs. 85,50,000

Gross receipts earned by the other restaurants in 2002 = $$\frac{5.3}{100}\times85,50,000$$

= Rs. 4,53,150

=> Ans - (D)

Instructions

The data in the following table and graph pertains to the Fellow and Associate categories of professionals. Study the data and line graph given below to answer these Questions:

Number of branches in each region

I. Western Region — 14
II. Southern Region — 26
III. Eastern region — 3
IV. Central Region — 17
V. Northern Region — 7

Question 17

The total number of associates is nearly ............ times the total number of Fellows of all the five regions.

Video Solution

Solution

Total number of associates of all the five regions = 79291

Total number of fellows of all the five regions = 16093

=> Required ratio = $$\frac{79291}{16093}\approx\frac{80000}{16000}=5$$

=> Ans - (B)

Question 18

The category showing the total number of Fellows of all the regions as nearly one - ninth of the total Associates of all the regions is

Video Solution

Solution

We need the ratio of Associates : Fellows = 9 : 1

(A) : Full time = $$\frac{61286}{12985}\approx4.5$$

(B) : Part time = $$\frac{6218}{1762}\approx3.5$$

(C) : Not in practice = $$\frac{11787}{1346}\approx9$$

=> Ans - (C)

Question 19

The regions having the number of branches in the ratio 1 : 2 are

Video Solution

Solution

Clearly, number of branches in northern region = 7

and number of branches in western region = 14

=> Required ratio = $$\frac{7}{14}=1:2$$

Thus, northern and western region have branches in the ratio = 1:2

=> Ans - (D)

Question 20

The average number of Fellows per branch of the Eastern region is approximately

Video Solution

Solution

Number of fellows of eastern region (III) = 2345

Number of branches = 3

=> Required average = $$\frac{2345}{3}=781.67\approx780$$

=> Ans - (B)

CAT Content

MAT 2004

The 2000-2002 gross receipts for Mega Burger exceeded those of Pizza Pie by approximately

From 2001-2002, the percent increase in receipts for Pizza Pie exceeded the percent increase of Mega Burger by approximately

The 2002 decline in Crunchy Chicken receipts may be attributed to the

The gross receipts for 2001 are approximately what percent of the gross receipts for all the three years?

Over all the three years, the average percentage of gross receipts for Crunchy Chop exceeds the average percentage of gross receipts for Pizza Pie by approximately

The gross receipts earned by the other restaurants in 2002 amount to precisely

The total number of associates is nearly ............ times the total number of Fellows of all the five regions.

The category showing the total number of Fellows of all the regions as nearly one - ninth of the total Associates of all the regions is

The regions having the number of branches in the ratio 1 : 2 are

The average number of Fellows per branch of the Eastern region is approximately

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CAT Content

MAT 2004

The 2000-2002 gross receipts for Mega Burger exceeded those of Pizza Pie by approximately

From 2001-2002, the percent increase in receipts for Pizza Pie exceeded the percent increase of Mega Burger by approximately

The 2002 decline in Crunchy Chicken receipts may be attributed to the

The gross receipts for 2001 are approximately what percent of the gross receipts for all the three years?

Over all the three years, the average percentage of gross receipts for Crunchy Chop exceeds the average percentage of gross receipts for Pizza Pie by approximately

The gross receipts earned by the other restaurants in 2002 amount to precisely

The total number of associates is nearly ............ times the total number of Fellows of all the five regions.

The category showing the total number of Fellows of all the regions as nearly one - ninth of the total Associates of all the regions is

The regions having the number of branches in the ratio 1 : 2 are

The average number of Fellows per branch of the Eastern region is approximately

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