#### 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:Which of the following statements MUST be FALSE? Option: 1 Chetna scored more than Bala in DI     Option: 2 Harini’s composite score was less than that of Falak   Option: 3 Bala’s composite score was less than that of Ester   Option: 4 Bala scored same as Jatin in DI

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

This statement is false. If Bala scored the same as Jatin in DI, then his composite score would be $20 + 2 + 9 + 11 = 60$. However, we know that Indu's composite score is 60, and she was one of the four candidates who were recruited.

Therefore, Bala cannot have scored the same as Jatin in DI.