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  • 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

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 true? 

1. Jatin's composite score was more than that of Danish. 

2. Indu scored less than Chetna in DI. 

3. Jatin scored more than Indu in GA. 

 

 

Option: 1

Only 2 

 

 


Option: 2

Only 1 
 


Option: 3

Both 1 and 2 

 


Option: 4

Both 2 and 3 


Answers (1)

best_answer

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

Let us examine the statements one by one.

  • Statement 1: Jatin's composite score was more than that of Danish.

This statement is correct. Jatin's composite score was 70, while Danish's composite score was 51.

  • Statement 2: Indu scored less than Chetna in DI.

This statement is also correct. Indu scored 16 marks in DI, while Chetna scored 19 marks in DI.

  • Statement 3: Jatin scored more than Indu in GA.

This statement is incorrect. Jatin scored 14 marks in GA, while Indu scored 20 marks in GA.

Therefore, both Statements 1 and 2 are correct.

 

 

Posted by

seema garhwal

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