Quantitative Aptitude Quiz – 5 (Data Interpretation)

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%

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.

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

(c) Kanpur Central – Mughal Sarai JN        (d) Balasore – Balasore

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

(c) New Delhi – Kanpur Central            (d) Bokaro Steel City – Tatanagar 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

I

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.

II

 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

1)Option b

Explanation :

With the run is of 440 km, the longest run is between New Delhi – Kanpur Central.

2)Option c

Explanation :

The average speed of 93.22 kmph is the highest between New Delhi – Kanpur Central.

3)None of these

Explanation:

The average speed that the train maintained between New Delhi and Bhubaneswar = 1800 km/25 hrs and 25 min = 70.82 kmph.

4)Option d

Explanation :

The train has the longest halt of 15 minutes at Kharagpur JN.

5)Option b

Explanation :

Friday