#### 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: 1. No two candidates had the same composite score. 2. Ajay was the unique highest scorer in WE. 3. Among the four recruited, Geeta had the lowest composite score. 4. Indu was recruited. 5. Danish, Harini, and Indu had scored the same marks the in GA. 6. Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s. Candidate Mark Out of 20 Ajay 8   16 Bala   9 11 Chetan 19 4 12 Danish 8 15   Ester 12 18 16 Falak 15 7 10 Geeta 14   6 Harini 5     Indu   8   Jatin   16 14 Question:If all the candidates except Ajay and Danish had different marks in DI, and Bala's composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI? Option: 1 13    Option: 2 -  Option: 3 -  Option: 4 -

Given that Indu was recruited and scored 100% in exactly one section, and Jatin also scored 100% in exactly one section, we can determine Jatin's scores.

 DI WE GA 20 16 14

Therefore, we can find the composite score as:

Composite score

$=20\text{x}+2+16+14$

$=70$

Also,

Indu's score:
$=70-10$

$=60$

Assuming Indu scores 20 in Data Interpretation (DI), Indu's score in General Awareness (GA) would be $60 - 40 - 8 = 12$. However, in this case, Indu would not qualify. Therefore, Indu must have scored 20 in GA.

Danish’s score:

$=2(8)+15+20$

$=51$

Hence, Ajay’s score:

$=2(8)+20+16$

$=52$

(As Ajay scores either 19 or 20 in DI, the composite score cannot be 51)

Below table can be calculated:

 DI WE GA Total A 8 20 16 52 B 9 11 c 19 4 12 54 d 8 15 20 51 e 12 18 16 58 f 15 7 10 47 g 14 >14 6 h 5 20 i 16 8 20 60 j 20 16 14 70
• Bala's score in DI cannot be 16, 15, or 14: This is because these scores are already taken by Indu, Falak, and Geeta, respectively. If Bala scored one of these scores in DI, then his score would be the same as one of the other candidates, which is not possible.
• Bala's score in DI cannot be 17 or more: This is because if it were, his composite score would be more than Chetna's. Chetna scored 19 in DI, and her composite score is 54. If Bala scored 17 in DI, his composite score would be 51, which is more than 50. However, we know that Bala's composite score is less than Chetna's, so his score in DI cannot be 17 or more.

Therefore, Bala's maximum score in DI is 13. This is the largest possible score that Bala could get in DI without having the same score as another candidate and without having a composite score that is more than Chetna's.