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 27 DI With Connected Data Sets questions in all — sign up free to practise them timed.

1. Passage

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

   Number of visitors by country

   Country	Day 1	Day 2	Day 3
   Canada	2	0	0
   Netherlands	1	1	0
   India	1	2	0
   UK	2	0	2
   USA	1	0	1

   Number of visitors by university

   University	Day 1	Day 2	Day 3
   University 1	1	0	0
   University 2	2	0	0
   University 3	0	1	0
   University 4	0	0	2
   University 5	1	0	0
   University 6	1	0	1
   University 7	2	0	0
   University 8	0	2	0

   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.

   Q1.CAT 2004

   To which country does University 5 belong?

   • India or Netherlands but not USA

   • India or USA but not Netherlands

   • Netherlands or USA but not India

   • India or USA but not UK

2. Q2.CAT 2004

   Which among the listed countries can possibly host three of the eight listed universities?

   • None

   • Only UK

   • Only India

   • Both India and UK

3. Passage

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

   Country	Top	Bottom-left	Bottom-right	Centre
   Australia	R (55)	Y (87)	S (50)	80
   South Africa	K (51)	S (75)	R (49)	70
   Pakistan	Y (40)	V (130)	K (28)	90

   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.

   Q3.CAT 2004

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

   • 0

   • 1

   • 2

   • More than 2

4. Q4.CAT 2004

   How many players among those listed definitely scored less than Yuvraj in the tournament?

   • 0

   • 1

   • 2

   • More than 2

5. Passage

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

   Table A

   Age (years)	Number
   4	9
   5	12
   6	22
   7	35
   8	42
   9	48
   10	60
   11	69
   12	77
   13	86
   14	100

   Table B

   Height (cm.)	Number
   115	6
   120	11
   125	24
   130	36
   135	45
   140	53
   145	62
   150	75
   155	81
   160	93
   165	100

   Table C

   Weight (Kg.)	Number
   30	8
   32	13
   34	17
   36	28
   38	33
   40	46
   42	54
   44	67
   46	79
   48	91
   50	100

   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.

   Q5.CAT 2003

   How many children of age more than 10 years are taller than 150 cm and do not weigh more than 48 kg?

   • 16

   • 40

   • 9

   • Cannot be determined

6. 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.

   Table A

   	BB	BC	BD	BE	BF	BG
   AA	928.2	537.2	567.8	589.9	800.1	323.4
   AB	311.8	595.7	885.7	759.9	793.1	420.1
   AC	451.1	0	320.1	720.1	1000.1	404.5
   AD	371.1	50.1	350.1	650.4	980.1	525.3
   AE	1137.3	314.5	0	1157.7	406.3	617.5
   AF	617.1	516.8	756.5	1065.9	623.9	509.4
   AG	644.3	299.2	537.2	1093.1	725.8	827.4

   Table B

   	AA	AB	AC	AD	AE	AF	AG
   AAA	571.1	205	352	159	434.5	178	337
   AAB	200	337.5	291	201	0	980.7	434
   AAC	100	0	275	277	850	770.5	835
   AAD	0	415.7	350	760	300	560	444.7
   AAE	223.5	300	440	1033	880	325	526.5
   AAF	577.5	725	443.5	560	1035.3	570	530
   AAG	340	410.6	886.7	0	800.7	680.5	800
   AAH	627	556.5	1023	1024	759	1025.7	300
   AAI	439	738	980	1031.7	1024	900	757

   Q6.CAT 2002

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

   • 95.2

   • 0

   • 205.7

   • 284.5

7. 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

8. Q8.CAT 2002

   How many possible ways are there for sending petrol from any refinery to any district?

   • 63

   • 42

   • 54

   • 378

9. Passage

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

   Month	Stage	Cost ('000 per person)
   1-2	Specification	40
   3-4	Design	20
   5-8	Coding	10
   9-10	Testing	15
   11-15	Maintenance	10

   The number of people employed in each month is:

   Month	Number of people employed
   01	2
   02	3
   03	4
   04	3
   05	4
   06	5
   07	5
   08	4
   09	4
   10	1
   11	3
   12	3
   13	1
   14	1
   15	1

   Q9.CAT 1996

   With reference to the above question, what is the cost incurred in the new ‘coding’ stage? (Under the new technique, 4 people work in the sixth month and 5 in the eighth.)

   • Rs. 1,40,000

   • Rs. 1,50,000

   • Rs. 1,60,000

   • Rs. 1,70,000

10. Q10.CAT 1996

    Under the new technique, which stage of software development is most expensive for Mulayam Software Co.?

    • Testing

    • Specification

    • Coding

    • Design

11. 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 1

    Region	Blue	Green	Magenta	Brown	Orange	Red	Violet	Yellow	Total
    1	267	585	244	318	132	173	195	83	1994
    2	341	480	99	199	234	119	200	109	1781
    3	279	496	107	126	100	82	172	106	1468
    4	198	307	62	221	65	96	124	91	1164
    5	194	338	120	113	82	60	125	124	1156
    6	158	261	133	104	71	158	128	82	1095
    Total	1437	2454	765	1081	684	688	944	595	8658

    
    Table 2

    Table 2

    Region	Blue	Green	Magenta	Brown	Orange	Red	Violet	Yellow	Total
    1	122	164	71	165	40	84	97	45	788
    2	124	200	37	78	67	47	73	50	676
    3	21	57	7	24	9	14	20	11	163
    4	79	85	22	164	18	46	43	54	511
    5	29	36	22	17	9	18	19	16	166
    6	1	3	2	2	1	3	2	4	18
    Total	376	545	161	450	144	212	254	180	2322

    
    Table 3

    Table 3

    Region	Blue	Green	Magenta	Brown	Orange	Red	Violet	Yellow	Total
    1	46	28	29	52	30	49	50	54	40
    2	36	42	37	39	29	39	37	46	38
    3	8	11	7	19	9	17	12	10	11
    4	40	28	35	74	28	48	35	59	44
    5	15	11	18	15	11	30	15	13	14
    6	1	1	2	2	1	2	2	5	2
    Total	26	22	21	42	21	31	27	30

    Table 4

    Table 4

    Region	Blue	Green	Magenta	Brown	Orange	Red	Violet	Yellow	Total
    1	15	21	9	22	4	11	12	6	100
    2	18	30	5	12	10	7	11	7	100
    3	13	35	4	15	6	9	12	7	100
    4	15	17	4	32	4	9	8	11	100
    5	17	22	13	10	5	11	11	10	100
    6	6	14	11	11	6	17	11	22	100

    Table 5

    Table 5

    Region	Blue	Green	Magenta	Brown	Orange	Red	Violet	Yellow
    1	32	30	44	37	28	40	38	25
    2	33	37	23	17	47	22	29	28
    3	6	10	4	5	6	7	8	6
    4	21	16	14	36	13	22	17	30
    5	8	7	14	4	6	8	7	9
    6	0	1	1	0	1	1	1	2
    Total	100	100	100	100	100	100	100	100

    
    

    Q11.CAT 1990

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

    • (1, Brown)

    • (2, Yellow)

    • (4, Brown)

    • (5, Red

12. Q12.CAT 1990

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

    • 3

    • 4

    • 2

    • 1

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