Instructions

Read the following passage:

In 2021, IIFT has announced the “Student of the year” competition which has twosteps: - the preliminary stage and the final stage. The preliminary stage comprised of overall academic excellence in the five trimesters of the coursework. When the results of the preliminary stage were announced, it was found that only five students -Aavanya, Aarav, Saanvi, Vagisha, and Raghav qualified to compete in the final stage of “Student of the year 2021” competition. In the final stage there were five rounds of extra-curricular activities wherein the students could score from 1 to 10 points in each round. These five extra-curricular activity rounds were Debate, Extempore, Business quiz, B-plan competition, and Case Study analysis. The student with maximum points across these five rounds would be considered as winner and would take the prestigious trophy of “Student of the year 2021”.

So at the end of these five rounds of competitions, when the Jury asked for the scorecard to find out the final winner, the scorer informed them that due to some technical glitches several entries have been deleted and jury was presented with following table:

However, the scorer has made the following observations too:
(i) No two students have scored equal points in the same round.
(ii) Vagisha has scored an odd number point in case study analysis round.
(iii) Aarav’s total score point was in the multiple of 8, and it was the least among all.
(iv) There was no tie between any two students in the overall/total points.
(v) Vagisha has scored same points in the following rounds: Debate round, and Extempore round.
(vi) None of the missing scores were less than 4 in any round.
(vii) Aavanya won the competition and won the prestigious trophy of “Student of the year 2021”.

Question 82

Suppose, if Saanvi scores 5 points in Debate round, still wins the "Studentof the Year" trophy by scoring one more point than "Aavanya" in total score; and Raghav has been given opportunity to re-appear for any two rounds, how many combinations Raghav can choose to win prestigious "Student of the Year" trophy:

Solution

From statement 6, all the missing points are at least 4.

From statement 3, Aarav's total is a multiple of 8 and is the least among the 5. The only possible score for Aarav is 24. Thus, the missing values are (4, 4, 4, 5).

Aavanya's total score is 35 and the total of points mentioned in the table is 26. Thus, the only possible values for the blanks are 4 and 5.

From statement 1, no two students have scored equal points in the same round.

Let Vagisha's score in the Debate and Extempore rounds be x. Thus, the table becomes as shown below.

If Sanvi score 5 in the debate round, she gets a total score of 16+Score in Extempore + Score in BP
She won the trophy over Aavanya by one point, which means she got a score of 36. This is only possible when she scores 10 in each round of Extempore and BP. 
The updated table will look like, 

image

Now Raghav has to score a total of 29 points. So, Debate + BP + CP will equal 16. 
A possible scenario is if he scores 4 in debate, 7 in BP and 5 in CP. 

image

Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 170+ previous papers with solutions PDF
  • Top 5000+ MBA exam Solved Questions for Free

cracku

Boost your Prep!

Download App