CAT DI With Connected Data Sets Questions & Solutions

A sample of real CAT DI With Connected Data Sets past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 35 DI With Connected Data Sets questions in all — sign up free to practise them timed.

Passage
DIRECTIONS for the following four questions:

The Table I shows the comparative costs, in US Dollars, of major surgeries in USA and a select few Asian countries.

The equivalent of US Dollar in the local currencies is given in Table II.

A consulting firm found that the quality of the health services were not the same in all the countries above. A poor quality of a surgery may have significant repercussions in future, resulting in more cost in correcting mistakes. The cost of poor quality of surgery is given in Table III

Q1.CAT 2007
A US citizen is hurt in an accident and requires an angioplasty, hip replacement and a knee replacement. Cost of foreign travel and stay is not a consideration since the government will take care of it. Which country will result in the cheapest package, taking cost of poor quality into account?
- India
- Thailand
- Malaysia
- Singapore
- USA
Show solution
Total cost incurred by the american citizen in various countries after taking cost of poor quality into account is ( in '000 USD)

America - 57 + 43 + 40 = 140

India - 11 + 9 + 8.5 + 5 + 7 + 9 = 49.5

Thailand - 13 + 12 + 10 + 5 + 5 + 6 = 51

Singapore - 13 + 12 + 13 + 4 + 5 + 4 = 51

Malaysia - 11 + 10 + 8 + 6 + 8 + 4 = 47

Hence the cheapest country is Malaysia.
Q2.CAT 2007
Approximately, what difference in amount in Bahts will it make to a Thai citizen if she were to get a hysterectomy done in India instead of in her native country, taking into account the cost of poor quality? It costs 7500 Bahts for oneway travel between Thailand and India.
- 23500
- 40500
- 57500
- 67500
- 75000
Show solution
Cost of treatment in India in USD ('000) 8 and in Thailand 10.5.

So she pays 2.5 more in Thailand.

Converting in Bahts we get 82500.

Subtracting the total travelling cost of 15000 Baht from the above.

So difference is 67500 Bahts.
Passage
Directions for the following four questions: Answer the questions on the basis of the information given below.

Prof. Singh has been tracking the number of visitors to his homepage? His service provider has provided him with the following data on the country of origin of the visitors and the university they belong to.
Q3.CAT 2004
University 1 can belong to
- UK
- Canada
- Netherlands
- USA
Show solution
According to given conditions there are following possibilities of university belonging from specific country .
We can see that University 1 can belong to Netherlands out of the given options.
Passage
Directions for the following four questions: Answer the questions on the basis of the information given below.

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. John summarized the batting performance through three diagrams, one for each games. In each diagram, the three outer triangles communicate the number of runs scored by the three top scores from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournaments; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.
Q4.CAT 2004
For how many Indian players is it possible to calculate the exact M-index?
- 0
- 1
- 2
- More than 2
Show solution

We can clearly see that m index of only saurav and rahul is possible.Hence option C.
Q5.CAT 2004
Which of the players had the best M-index from the tournament?
- Rahul
- Saurav
- Virender
- Yuvraj
Show solution

Saurav has the best M-index .
Passage
DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Table A below provides data about ages of children in a school. For the age given in the first column, the second column gives the number of children not exceeding the age. For example, first entry indicates that there are 9 children aged 4 years or less. Tables B and C provide data on the heights and weights respectively of the same group of children in a similar format. Assuming that an older child is always taller and weighs more than a younger child, answer the following questions.
Q6.CAT 2003
Among the children older than 6 years but not exceeding 12 years, how many weigh more than 38 kg.?
- 34
- 52
- 44
- Cannot be determined
Show solution
Number of children older than 6 years but not exceeding 12 years are 55 and number older than 12 years are 23 . Also children weighing more than 38 kgs are 67. Out of these 67 , 23 will have age more than 12 . Hence we have 67 - 23 = 44 childrens will the given requirement. Hence option C.
Passage
There are 6 refineries, 7 depots and 9 districts. The refineries are BB, BC, BD, BE, BF and BG. The depots are AA, AB, AC, AD, AE, AF and AG. The districts are AAA, AAB, AAC, AAD, AAE, AAF, AAG, AAH, and AAI. Table A gives the cost of transporting one unit from refinery to depot. Table B gives the cost of transporting one unit from depot to a district.

Q7.CAT 2002
What is the least cost of sending one unit from refinery BB to any district?
- 284.5
- 311.8
- 451.1
- None of these
Show solution
Route for least cost of sending one unit from refinery BB to any district, would be first from BB to AB and then from AB to AAC.

Hence total cost 311.8 + 0 = 311.8
Q8.CAT 2002
The largest cost of sending petrol from any refinery to any district is
- 2172.6
- 2193.0
- 2091.0
- None of these
Show solution
The costliest route would be from BE to AE then AE to AAH i.e 1157.7+1035.3 = 2193
Passage
Answer the questions based on the following information. Mulayam Software Co., before selling a package to its clients, follows the given schedule.
The number of people employed in each month is:
Q9.CAT 1996
What is the difference in cost between the old and the new techniques?
- Rs. 30,000
- Rs. 60,000
- Rs. 70,000
- Rs. 40,000
Show solution
In new technique, increment in 5th month cost ('000) = $(5 \times 20 - 4 \times 10)$ = 60
Passage
The table below gives the achievements of Agricultural Development Programmes from 1983 - 84 to 1988 - 89. Study the following table and for each of the following questions, choose the best alternative.

Irrigation (Cumulative in Million Hectares)

High yielding varieties (Million Hectares)

Consumption of chemical fertilizers

Gross Cropped area (Million hectares)

Q10.CAT 1990
The consumption of chemical fertilizer per hectare of gross cropped area is lowest for the year
- 1984 - 85
- 1985 - 86
- 1986 - 87
- 1987 - 88
Show solution
Hence, the lowest ratio will be for 84-85.
Q11.CAT 1990
It is possible that a part of the minor irrigated area is brought under major and medium areas. In which year has this definitely happened?
- 1984 - 85
- 1985 - 86
- 1986 - 87
- 1987 - 88
Show solution
There is a decrease in the area of minor irrigation land in 1987-88.

Hence, during this year land is brought into maor irrigation area.
Passage
The first table gives the number of saris (of all the eight colours) stocked in six regional showrooms. The second gives the number of saris (of all the eight colours) sold in these six regional showrooms. The third table gives the percentage of saris sold to saris stocked for each colour in each region. The fourth table gives the percentage of saris of a specific colour sold within that region. The fifth table gives 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.

Table 1

Table 2

Table 3

Table 4

Table 5

Q12.CAT 1990
Which region sold the maximum percentage of magenta saris out of the total sales of magenta saris?
- 3
- 4
- 2
- 1
Show solution
Since table 2 gives us the sales values of saris
Hence, for the magenta sari, Region1 has the maximum number of sales out of total magenta sales.
I.e. 71 out of 161.

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CAT DI With Connected Data Sets Questions & Solutions

Passage

DIRECTIONS for the following four questions:

The Table I shows the comparative costs, in US Dollars, of major surgeries in USA and a select few Asian countries.

The equivalent of US Dollar in the local currencies is given in Table II.

A consulting firm found that the quality of the health services were not the same in all the countries above. A poor quality of a surgery may have significant repercussions in future, resulting in more cost in correcting mistakes. The cost of poor quality of surgery is given in Table III

Q1.CAT 2007

A US citizen is hurt in an accident and requires an angioplasty, hip replacement and a knee replacement. Cost of foreign travel and stay is not a consideration since the government will take care of it. Which country will result in the cheapest package, taking cost of poor quality into account?

India
Thailand
Malaysia
Singapore
USA

Show solution

Total cost incurred by the american citizen in various countries after taking cost of poor quality into account is ( in '000 USD)

America - 57 + 43 + 40 = 140

India - 11 + 9 + 8.5 + 5 + 7 + 9 = 49.5

Thailand - 13 + 12 + 10 + 5 + 5 + 6 = 51

Singapore - 13 + 12 + 13 + 4 + 5 + 4 = 51

Malaysia - 11 + 10 + 8 + 6 + 8 + 4 = 47

Hence the cheapest country is Malaysia.

Q2.CAT 2007

Approximately, what difference in amount in Bahts will it make to a Thai citizen if she were to get a hysterectomy done in India instead of in her native country, taking into account the cost of poor quality? It costs 7500 Bahts for oneway travel between Thailand and India.

23500
40500
57500
67500
75000

Show solution

Cost of treatment in India in USD ('000) 8 and in Thailand 10.5.

So she pays 2.5 more in Thailand.

Converting in Bahts we get 82500.

Subtracting the total travelling cost of 15000 Baht from the above.

So difference is 67500 Bahts.

Passage

Directions for the following four questions: Answer the questions on the basis of the information given below.

Prof. Singh has been tracking the number of visitors to his homepage? His service provider has provided him with the following data on the country of origin of the visitors and the university they belong to.

Q3.CAT 2004

University 1 can belong to

UK
Canada
Netherlands
USA

Show solution

According to given conditions there are following possibilities of university belonging from specific country .

We can see that University 1 can belong to Netherlands out of the given options.

Passage

Directions for the following four questions: Answer the questions on the basis of the information given below.

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. John summarized the batting performance through three diagrams, one for each games. In each diagram, the three outer triangles communicate the number of runs scored by the three top scores from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournaments; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.

Q4.CAT 2004

For how many Indian players is it possible to calculate the exact M-index?

0
1
2
More than 2

Show solution

We can clearly see that m index of only saurav and rahul is possible.Hence option C.

Q5.CAT 2004

Which of the players had the best M-index from the tournament?

Rahul
Saurav
Virender
Yuvraj

Show solution

Saurav has the best M-index .

Passage

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Table A below provides data about ages of children in a school. For the age given in the first column, the second column gives the number of children not exceeding the age. For example, first entry indicates that there are 9 children aged 4 years or less. Tables B and C provide data on the heights and weights respectively of the same group of children in a similar format. Assuming that an older child is always taller and weighs more than a younger child, answer the following questions.

Q6.CAT 2003

Among the children older than 6 years but not exceeding 12 years, how many weigh more than 38 kg.?

34
52
44
Cannot be determined

Show solution

Number of children older than 6 years but not exceeding 12 years are 55 and number older than 12 years are 23 . Also children weighing more than 38 kgs are 67. Out of these 67 , 23 will have age more than 12 . Hence we have 67 - 23 = 44 childrens will the given requirement. Hence option C.

Passage

There are 6 refineries, 7 depots and 9 districts. The refineries are BB, BC, BD, BE, BF and BG. The depots are AA, AB, AC, AD, AE, AF and AG. The districts are AAA, AAB, AAC, AAD, AAE, AAF, AAG, AAH, and AAI. Table A gives the cost of transporting one unit from refinery to depot. Table B gives the cost of transporting one unit from depot to a district.

Q7.CAT 2002

What is the least cost of sending one unit from refinery BB to any district?

284.5
311.8
451.1
None of these

Show solution

Route for least cost of sending one unit from refinery BB to any district, would be first from BB to AB and then from AB to AAC.

Hence total cost 311.8 + 0 = 311.8

Q8.CAT 2002

The largest cost of sending petrol from any refinery to any district is

2172.6
2193.0
2091.0
None of these

Show solution

The costliest route would be from BE to AE then AE to AAH i.e 1157.7+1035.3 = 2193

Passage

Answer the questions based on the following information. Mulayam Software Co., before selling a package to its clients, follows the given schedule.

The number of people employed in each month is:

Q9.CAT 1996

What is the difference in cost between the old and the new techniques?

Rs. 30,000
Rs. 60,000
Rs. 70,000
Rs. 40,000

Show solution

In new technique, increment in 5th month cost ('000) = $(5 \times 20 - 4 \times 10)$ = 60

Passage

The table below gives the achievements of Agricultural Development Programmes from 1983 - 84 to 1988 - 89. Study the following table and for each of the following questions, choose the best alternative.

Irrigation (Cumulative in Million Hectares)

High yielding varieties (Million Hectares)

Consumption of chemical fertilizers

Gross Cropped area (Million hectares)

Q10.CAT 1990

The consumption of chemical fertilizer per hectare of gross cropped area is lowest for the year

1984 - 85
1985 - 86
1986 - 87
1987 - 88

Show solution

Hence, the lowest ratio will be for 84-85.

Q11.CAT 1990

It is possible that a part of the minor irrigated area is brought under major and medium areas. In which year has this definitely happened?

1984 - 85
1985 - 86
1986 - 87
1987 - 88

Show solution

There is a decrease in the area of minor irrigation land in 1987-88.

Hence, during this year land is brought into maor irrigation area.

Passage

The first table gives the number of saris (of all the eight colours) stocked in six regional showrooms. The second gives the number of saris (of all the eight colours) sold in these six regional showrooms. The third table gives the percentage of saris sold to saris stocked for each colour in each region. The fourth table gives the percentage of saris of a specific colour sold within that region. The fifth table gives 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.

Table 1

Table 2

Table 3

Table 4

Table 5

Q12.CAT 1990

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

Show solution

Since table 2 gives us the sales values of saris
Hence, for the magenta sari, Region1 has the maximum number of sales out of total magenta sales.
I.e. 71 out of 161.

23+ more DI With Connected Data Sets questions inside

Get the full CAT DI With Connected Data Sets set with timed practice, bookmarks and analysis — free to start.

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CAT DI With Connected Data Sets previous year questions with solutions — AthenaPrep