CAT 2018 Slot 1 — DILR Question 10
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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Which of the following statements MUST be FALSE?
Answer & solution
- A
Harini’s composite score was less than that of Falak
Bala scored same as Jatin in DI
- C
Bala’s composite score was less than that of Ester
- D
Chetna scored more than Bala in DI
Harini’s composite score = (30 + a) and Falak’s composite score = 47
Thus, statement 1 is may not be true for values of ‘a’ more than or equal to 17.
In DI, if Bala’s score is 19 or 20, his composite score would be 58 (or 60). But, no two candidates had the same composite scores. Therefore, Bala’s score must be less than or equal to 18 and hence his composite score must be less than or equal to 56.
Therefore, Chetna scored more than Bala in DI and Bala’s composite score was less than that of Ester. Thus, statements 2 and 3 are true.
If Bala scores same as Jatin in DI, Bala’s composite score would be 60. This is not valid.
Hence, statement 2 must be false.
Hence, option (b).