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Problem set from CAT 2018 DILR section.

## Riya Agarwal is teaching live on Unacademy Plus

Riya Agarwal
I'm here to liberate & share my knowledge. Shortly, all DI and LR lessons will be available, in English & Hindi. Also, past year papers.

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1. DILR ANSWER KEY & SOLUTION SLOT 1 CAT 2018

2. About Me . I hold a B.E degree in Electronics & Communication Engineering. . CAT' 17: DI & LR-98.29 %ile. Follow me on the Unacademy learning app for all conceptual courses and practice papers on DI & LR topics for CAT and other B-school entrance exams: https://unacademy.com/user/iriyaagarwal . Not all are born Einstein's but trust me with hard work and dedication we can together make it possible.

3. DILR ANSWER KEY & SOLUTION SLOT 1 CAT 2018

4. PROBLEM 8

5. Directions for the Q1-Q4: 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 Candid 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 Ester are given in the table below. Some marks in the table are missing,Falak 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. marks out of 20 Candidate WE GA 16 DI 9 4 19 12 Danish 18 12 15 14 16 10 Geeta Harini Indu Jatin 8 16 14

6. Answer the following: Q1. 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. 1. Both 2 and 3 2. Only 1 3. Only 2 4. Both 1 and 2 Q2. Which of the following statements MUST be FALSE? 1. Bala scored same as Jatin in DI 2. Harini's composite score was less than that of Falak 3. Bala's composite score was less than that of Ester 4. C hetna scored more than Bala in DI Q3. 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? Q4. If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE?

7. 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 Chetna 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. marks out of 20 WE GA 16 DI 9 4 15 18 Bala 19 12 Danish Ester Falak Geeta Harini Indu Jatin 12 15 14 16 10 14

8. Candidates who score less than 70% marks in two or marks out of 20 more sections are disqualified. From among the rest, Candidate GA 16 Dl 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. WE Bala Chetna Danish Ester Falak Geeta Harini Indu Jatin 9 4 15 18 19 12 12 15 16 10 6 5 8 16 14

9. 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 GA TOTAL 16 DI*2 WE 8 19 12 15 12 18 16 15 10 5 16 14

10. 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 WE 0-20 GA TOTAL 16 DI*2 8 0-20 19 12 0-20 16 10 15 12 18 15 0-20 0-20 5 0-20 0-20 0-20 0-20 14 16

11. 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 GA TOTAL 16 DI*2 8 0-20 19 WE 0-20 32-52 20-60 54 12 15 0-20 31-51 12 18 58 47 34-54 50 8-68 30-70 16 15 10 0-20 0-20 5 0-20 0-20 0-20 0-20 14 16

12. 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 GA TOTAL 16 DI*2 8 0-20 19 WE 19-20 32-52 20-60 54 12 15 0-20 31-51 12 18 58 47 34-54 50 8-68 30-70 16 15 10 0-20 0-20 5 0-20 0-20 0-20 0-20 14 16

13. 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 GA TOTAL 16 DI*2 WE 19-20 32-52 20-60 54 8 B (D)0-20 c (D) 19 12 4 15 18 0-20 31-51 12 58 47 34-54 16 F(D) G (R) | 10 15 14 5 0-20 0-20 8 0-2010-50 I (R)0-20 J (R)0-201 6 0-20 8-68 30-70 14

14. 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 GA TOTAL 16 DI*2 WE 19-20 32-52 20-60 54 8 B (D)0-20 c (D) 19 12 4 15 18 0-20 31-51 12 58 47 34-54 16 F(D) | 15 G (R) 14 5 I (R)0-20 10 0-20 0-20 8 16 0-2010-50 60 70 .2 ways: 16 in DI and 20 in GA 20 in DI and 12 in GA 0-20 J(R) 20 14

15. 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 GA TOTAL 16 DI*2 WE 19-20 32-52 20-60 54 51 58 47 34-53 30-49 60 70 8 B (D)0-20 c (D) 19 4 15 18 12 20 16 10 12 F(D) G (R) | 15 14 5 16 0-19 0-19 8 16 20 20 14 1 (R) J(R) 20

16. 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 GA TOTAL 16 DI*2 WE 19-20 32-52 20-60 54 51 58 47 34-53 30-49 60 70 8 B (D)0-20 c (D) 19 D (D)* 12 20 16 10 4 15 18 7 0-19 0-19 8 16 12 F(D) | 15 G (R) 14 H (D) 1 (R) J(R) 20 20 20 14 5 16

17. 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 GA TOTAL 16 DI*2 WE 19-20 A (D) B (D)0-20 c (D) 19 D (D)* 32-52 20-60 54 51 58 47 34-53 30-49 60 70 8 12 20 16 10 4 15 18 7 0-19 0-19 8 16 12 F(D) | 15 G (R) 14 H (D) 1 (R) J(R) 20 20 20 14 5 16

18. Answer the following: Q1. 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. 1. Both 2 and 3 2. Only 1 3. Only 2 4. Both 1 and 2 Q2. Which of the following statements MUST be FALSE? 1. Bala scored same as Jatin in DI 2. Harini's composite score was less than that of Falak 3. Bala's composite score was less than that of Ester 4. C hetna scored more than Bala in DI Q3. 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? Q4. If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE?

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