Quantitative Aptitude Quiz – 5 (Data Interpretation)

In Quantitative Aptitude, Quants & Reasoning
October 20, 2015

I. Missing Data in the table

Directions for questions 1 to 3 : A team of 5 players Arpit, Bimal, Chatur, Dinu and Elan participated in a ‘Freaket’ tournament and played four matches (1 to 4). The following table gives partial information about their individual scores and the total runs scored by the team in each match.

Each column has two values missing. These are the runs scored by the two lowest scorers in that match.None of the two missing values is more than 10% of the total runs scored in that match.

		Match-1	Match-2	Match-3	Match-4
Runs scored by player	Arpit		100		53
	Bimal	88	65		52
	Chatur			110
	Dinu	72	75	20	56
	Elan	60		78
Total		270	300	240	200

1)
What is the maximum possible percentage contribution of Arpit in the total runs scored in the four matches?

A. 19.7% B. 19.9%

C. 20.1% D. 20.2%

If the absolute difference between the total runs scored by Arpit and Chatur in the four matches is minimum possible then what is the absolute difference between total runs scored by Bimal and Elan in the four matches?

A. 32 B. 37

C. 27 D. Cannot be determined

3)
The players are ranked 1 to 5 on the basis of the total runs scored by them in the four matches, with the highest scorer getting Rank 1. If it is known that no two players scored the same number of total runs, how many players are there whose rank can be exactly determined?

A. 0 B. 1

C. 3 D. 5

II.

DIRECTIONS FOR QUESTIONS 1 to 5 :

RAILWAY TIMETABLE : NEW DELHI – BHUBANESWAR RAJDHANI EXPRESS

Station Name	Arrival Time	Departure Time	Distance(In KM)
New Delhi	—	17:05	0
Kanpur Central	21:48	21:53	440
Mughal Sarai JN	01:55	02:05	786
Gaya JN	04:18	04:21	989
Koderma	05:22	05:24	1066
Bokaro Steel City	07:35	07:40	1191
Tatanagar JN	10:35	10:40	1342
Kharagpur JN	12:25	12:40	1476
Balasore	14:02	14:04	1595
Bhadrak	15:12	15:14	1657
Cuttack	16:33	16:35	1772
Bhubaneswar	17:30	—	1800

1.The longest run for the train between the two successive halts is

(a) Mughal Sarai JN – Gaya JN (b) New Delhi – Kanpur Central

2. The average speed that the train maintained between two successive stations was the highest between

(a) Kanpur Central – Mughal Sarai JN (b) Mughal Sarai JN – Gaya JN

3. The average speed that the train maintained between New Delhi and Bhubaneswar was nearly equal to

(a) 72 kmph (b) 74 kmph (c) 75 kmph (d) 82 kmph

4. If we consider a journey that begins in New Delhi and ends in Bhubaneswar, the train has the longest halt at

(a) Kanpur Central (b) Mughal Sarai JN (c) Tatanagar JN (d) Kharagpur JN

5. The train begins its return journey from Bhubaneswar to New Delhi Seventeen hours after it has arrived at Bhubaneswar. If the train left New Delhi on Tuesday on what day will it have returned to New Delhi? (Assume that on the return journey that train maintains the same average speed as on the onward journey).

(a) Thursday (b) Friday (c) SaturdayAnchor (d) SundayAnchor

Answers:-

1)Option A

Explanation:

Maximum possible runs scored by Arpit in Match-1 = 27

Maximum possible runs scored by Arpit in Match-3 = 19

Maximum possible percentage contribution:

(27+100+19+53)/(270+300+240+200)x100% = 199/1010×100%
= 19.7%

2) Option B

Explanation:

Maximum possible total runs scored by Chatur in the four matches = 27 + 30 + 110 + 20 = 187.

In such a case minimum possible total runs scored by Arpit in the four matches = 23 + 100 + 13 + 53 = 189.

Difference = 189 – 187 = 2 (minimum possible) Subsequently total runs scored by Bimal in the four matches = 88 + 65 + 19 + 52 = 224.

Also, total runs scored by Elan in the four matches = 60 + 30 + 78 + 19 = 187

Absolute difference = 224 – 187 = 37

3)Option C

Explanation:

Individual ranges for total score:

Arpit-> 189-199

Bimal-> 218-224

Chatur-> 182-187

Dinu-> 223

Elan-> 187-188

Least total will be of Chatur (Rank 5)

2nd least will be Elan (Rank 4)

Rank 3 must be of Arpit.

It is not possible to determine the exact ranks of Bimal and Dinu.

Station Name	Distance(In Km)	Time Taken(In hours)	Speed(In kmph)
Station Name	Distance(In Km)	Time Taken(In hours)	Speed(In kmph)
New Delhi – Kanpur Central	440	4.72	93.22
Kanpur Central – Mughal Sarai JN	346	4.03	85.86
Mughal Sarai JN – Gaya JN	203	2.22	91.44
Gaya JN – Koderma	77	1.98	38.89
Koderma – Bokaro Steel City	125	2.18	57.34
Bokaro Steel City – Tatanagar JN	151	2.92	51.71
Tatanagar JN – Kharagpur JN	134	1.75	76.57
Kharagpur JN- Balasore	119	1.37	86.86
Balasore – Bhadrak	62	1.13	54.87
Bhadrak – Cuttack	115	1.32	87.12
Cuttack – Bhubaneswar	28	0.92	30.43