Q(1-5). Study the following chart carefully and answer the questions given beside.
A delegation of 2100 UN members traveled to five different states AP, MP, UP, Kerala and J&K, as per their meeting schedule. The delegates reached their respective allotted states on Monday. On reaching it was found that all the members were COVID-19 positive and when they come in contact with other people those people become COVID-19 suspects.
The pie chart given below shows the percentage breakup of the 2100 members who travel to five different states.
The line chart given below shows the average number of people contacted per member in each state on Monday and Tuesday.
1. The suspects of a particular day are quarantined on that particular day only and they are no longer suspects on next day.
1. Find the total number of suspects in MP on Monday and Tuesday together?
(a) 324
(b) 296
(c) 364
(d) 336
(e) 318
Solution: (d)
Common explanation:
Total Members = 2100
Members who go to AP = 15% (2100) = 315
Number of people contacted by members (suspects) in AP on Monday = 315 × 0.2 = 63
Tuesday = 315 × 0.4 = 126
Wednesday = 315 × 0.1111 = 35
Similarly, calculating for each state we get:
State
Members
Suspects
Suspects
Total
——
—–
Monday
Tuesday
—-
AP
315
63
126
189
UP
420
210
21
231
MP
525
315
21
336
Kerala
252
126
63
189
J&K
588
49
147
196
Total
2100
763
378
1141
From common explanation, we have
Required sum = 315 + 21 = 336
2. What is the difference between the total suspects of UP and J&K on Monday and Tuesday together?
(a) 35
(b) 41
(c) 32
(d) 46
(e) 28
Solution: (a)
Common explanation:
Total Members = 2100
Members who go to AP = 15% (2100) = 315
Number of people contacted by members (suspects) in AP on Monday = 315 × 0.2 = 63
Tuesday = 315 × 0.4 = 126
Wednesday = 315 × 0.1111 = 35
Similarly, calculating for each state we get:
State
Members
Suspects
Suspects
Total
——
—–
Monday
Tuesday
—-
AP
315
63
126
189
UP
420
210
21
231
MP
525
315
21
336
Kerala
252
126
63
189
J&K
588
49
147
196
Total
2100
763
378
1141
From common explanation, we have
Required difference = 231 – 196 = 35
3. The total number of suspects of UP and MP on Tuesday are what percent of the total suspects of J&K on Monday and Tuesday together?
(a) 23.33%
(b) 18.45%
(c) 21.42%
(d) 42%
(e) 33%
Solution: (c)
Common explanation:
Total Members = 2100
Members who go to AP = 15% (2100) = 315
Number of people contacted by members (suspects) in AP on Monday = 315 × 0.2 = 63
