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  • Directions for question: In the singing reality show Sa-Re-Ga-Ma-Pa 2018 (Bengali) telecast in the ZEE Bangla Television Channel, five of the contestants made it to the f

Directions for question:

In the singing reality show Sa-Re-Ga-Ma-Pa 2018 (Bengali) telecast in the ZEE Bangla Television Channel, five of the contestants made it to the final rounds. They were Ankita, Bablu, Chinmoy, Debarati and Enakshi. The final round would be judged by five eminent Bengali singers and music directors namely Mr Bappi Lahiri, Mr Arijit Singh, Ms Asha Bhosle, Mr Kedar Bhattacharya (Kumar Sanu) and Mr Srikanta Acharya.

Our story is based on the points awarded to the finalists by the judges in the final round. 

The following table shows row-wise the number of points given to any three finalists out of the five by a particular judge, the points given being written within brackets beside the name of the finalist. The last right hand column with the heading of ‘ % ’ is the sum of the points earned by the three finalists as a percentage of the sum of the points earned by all the five finalists from the same judge mentioned at the extreme left of the row. All the points given by each judge to the five finalists were distinct, non-negative integers which were multiples of 2.

Judge Finalists %
Mr. Bappi Lahiri Ankita (18) Bablu (10) Chinmoy (12)

80
Mr. Arijit Singh Ankita (8) Debarati (16) Enakshi (12) 90
Ms. Asha Bhosle Chinmoy (22) Debarati (12) Enakshi (14) 80
Mr. Kedar Bhattacharya Ankita (14) Debarati (16) Enakshi (4) 85
Mr. Srikanta Acharya Ankita (6) Bablu (16) Chinmoy (10) 80

Question :

Which of the following options could be the minimum total number of points earned by Debarati in the final round of Sa-Re-Ga-Ma-Pa 2018 (Bengali) ?

Option: 1

46


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

From the data given in the table, we can say that :

Judge Finalists Total Points of 3 finalists as given % Total Points given to 5 finalists 
Mr. Bappi Lahiri Ankita (18) Bablu (10) Chinmoy (12) 18+10+12=40

80

 \frac{(40\times100)}{80}=50
Mr. Arijit Singh Ankita (8) Debarati (16) Enakshi (12) 8+16+12=36 90 \frac{(36\times100)}{90}=40
Ms. Asha Bhosle Chinmoy (22) Debarati (12) Enakshi (14) 22+12+14=48 80 \frac{(48\times100)}{80}=60
Mr. Kedar Bhattacharya Ankita (14) Debarati (16) Enakshi (4) 14+16+4=34 85 \frac{(34\times100)}{85}=40
Mr. Srikanta Acharya Ankita (6) Bablu (16) Chinmoy (10) 6+16+10=32 80 \frac{(32\times100)}{80}=40

But all the points given by each judge to the five finalists were distinct, non-negative integers which were multiples of 2.

Hence the possibilities of points given can be depicted as below :

Judge Ankita Bablu Chinmoy Debarati Enakshi Total points  
Mr. Bappi Lahiri 18 10 12 2,4,6,8 8,6,4,2 50 10,and hence 0, is not possible
Mr. Arijit Singh 8 0,4 4,0 16 12 40 2 and 2 is not possible
Ms. Asha Bhosle 2,4,8,10 10,8,4,2 22 12 14 60 6 and 6,as well as 12,hence 0,is not possible
Mr. Kedar Bhattacharya 14 0,6 6,0 16 4 40 4 and hence 2 is not possible
Mr. Srikanta Acharya 6 16 10 0,8 8,0 40 4 and 4, as well as 6,and hence 2,is not possible

The range of points that could be earned by the finalists individually in the final round of Sa-Re-Ga-Ma-Pa 2018 (Bengali) were :

Ankita : (18+8+2+14+6) to (18+8+10+14+6) = 48 to 56

Bablu : (10+0+2+0+16) to (10+4+10+6+16) = 28 to 46

Chinmoy : (12+0+22+0+10) to (12+4+22+6+10) = 44 to 54

Debarati : (2+16+12+16+0) to (8+16+12+16+8) = 46 to 60

Enakshi : (2+12+14+4+0) to (8+12+14+4+8) = 32 to 46

Hence, the minimum total number of points earned by Debarati in the final round of Sa-Re-Ga-Ma-Pa 2018 (Bengali) was 46

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Gunjita

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