CAT 2018 Slot 1 — DILR Question 12
Answer the following question based on the information given below.
A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
- No two candidates had the same composite score.
- Ajay was the unique highest scorer in WE.
- Among the four recruited, Geeta had the lowest composite score.
- Indu was recruited.
- Danish, Harini, and Indu had scored the same marks the in GA.
- Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
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If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE?
Answer & solution
Answer: 14
Marks scored in WE are 20, 19, 18, 16, 15, 9, 8, 7, 4 and ‘a’.
As all scored different marks, ‘a’ can take one of the following values: 17, 14, 13, 12, 11, 10, 6, 5, 3, 2, 1
For a = 17, Harini’s composite score i.e., 47 would be same as Falak’s. Hence, a ≠ 17
For a = 14, Harini’s composite score i.e., 44 which is different from others.
Therefore, the required answer is 14.
Answer: 14