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Slot 1- Problem 7
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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. Mostly, all DILR topics are covered for aptitude exams. Use code "IRIYAAGARWAL" for discount on p

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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 7

5. Directions for the Q1-Q4: 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1. 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B.

6. Answer the following: Q1. What best can be said about the number of satellites serving C? 1. Must be at least 100 2. Cannot be more than 800 3. Must be between 450 and 725 4. Must be between 400 and 800 Q2. What is the minimum possible number of satellites serving B exclusively? 1. 250 2. 100 3. 500 4. 200 Q3. If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 1. At most 475 3. No conclusion is possible based on the given information 2. Exactly 475 4. At least 475 Q4. If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 1. The number of satellites serving B exclusively is exactly 250 2. The number of satellites serving B is more than 1000 3. The number of satellites serving C cannot be uniquely determined 4. All 1600 satellites serve B or C orS

7. 1600 satellites were sent up by a country for sev eral purposes. The purposes are classified as broadcasting (B), communication (C), survei llance (S), and others (O). A satellite can serve multiple purposes; however a satellite ser ving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, andS (though may be not exclusively) are in the ratio 2:1:1 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of then umber of satellites exclusively serving B. 4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B.

8. 1600 satellites were sent up by a country for sev eral purposes. The purposes are classified as broadcasting (B), communication (C), survei llance (S), and others (O). A satellite can serve multiple purposes; however a satellite ser ving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, andS (though may be not exclusively) are in the ratio 2:1:1 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving00 00 C is the same as the number of satellites exclusively serving S. This number is 30% of then umber of satellites exclusively serving B. 4. The number of satellites serving o is the same000 as the number of satellites serving both C and S but not B.

9. 1600 satellites were sent up by a country for sev eral purposes. The purposes are classified as broadcasting (B), communication (C), survei llance (S), and others (O). A satellite can serve multiple purposes; however a satellite ser ving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, andS (though may be not exclusively) are in the ratio 2:1:1 2. The number of satellites serving all three of B, C, and S is 100. B(2x C(x) 3. The number of satellites exclusively serving00 00 C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 4. The number of satellites serving o is the same000 as the number of satellites serving both C and S but not B.

10. 1600 satellites were sent up by a country for sev eral purposes. The purposes are classified as broadcasting (B), communication (C), survei llance (S), and others (O). A satellite can serve multiple purposes; however a satellite ser ving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, andS (though may be not exclusively) are in the ratio 2:1:1 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. B(2x OTHERS

11. 1600 satellites were sent up by a country for sev eral purposes. The purposes are classified as broadcasting (B), communication (C), survei llance (S), and others (O). A satellite can serve multiple purposes; however a satellite ser ving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, andS (though may be not exclusively) are in the ratio 2:1:1 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. B(2x 100 OTHERS

12. 1600 satellites were sent up by a country for sev eral purposes. The purposes are classified as broadcasting (B), communication (C), survei llance (S), and others (O). A satellite can serve multiple purposes; however a satellite ser ving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, andS (though may be not exclusively) are in the ratio 2:1:1 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. B(2x 100 OTHERS

13. 1600 satellites were sent up by a country for sev eral purposes. The purposes are classified as broadcasting (B), communication (C), survei llance (S), and others (O). A satellite can serve multiple purposes; however a satellite ser ving either B, or C, or S does not serve O The following facts are known about the satellites: 1. The numbers of satellites serving B, C, andS (though may be not exclusively) are in the ratio 2:1:1 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. B(2x 100 OTHERS

14. Now, we also know that total number of satellites serving B is twice than total number of satellites serving C (or S). B(2x C(x) If we equate them, we get 10a 2c 100-6a 2b +2c 200 Solving, we get 4a 100 2b or 2a 50 b. 10a 100 2a-50 2a-50 OTHERS S(x)

15. Answer the following: Q1. What best can be said about the number of satellites serving C? 1. Must be at least 100 2. Cannot be more than 800 3. Must be between 450 and 725 4. Must be between 400 and 800 Q2. What is the minimum possible number of satellites serving B exclusively? 1. 250 2. 100 3. 500 4. 200 Q3. If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 1. At most 475 3. No conclusion is possible based on the given information 2. Exactly 475 4. At least 475 Q4. If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 1. The number of satellites serving B exclusively is exactly 250 2. The number of satellites serving B is more than 1000 3. The number of satellites serving C cannot be uniquely determined 4. All 1600 satellites serve B or C orS

16. 10a c 800. b 2a - 50, minimum and maximum values of a as 25 B(2x C(x) and 80 respectively 10a minimum & maximum value of c becomes 0 and 550. 100 2a-50 2a-50 OTHERS S(x)

17. 10a c 800. b 2a 50, minimum and maximum values of a as 25 B(2x C(x) and 80 respectively 10a minimum & maximum value of c becomes 0 and 550. C 5a c50 Min value = 5*80 + 0 + 50 = 450 100 2a-50 2a-50 OTHERS S(x)

18. Answer the following: Q1. What best can be said about the number of satellites serving C? 1. Must be at least 100 2. Cannot be more than 800 3. Must be between 450 and 725 4. Must be between 400 and 800 Q2. What is the minimum possible number of satellites serving B exclusively? 1. 250 2. 100 3. 500 4. 200 Q3. If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 1. At most 475 3. No conclusion is possible based on the given information 2. Exactly 475 4. At least 475 Q4. If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 1. The number of satellites serving B exclusively is exactly 250 2. The number of satellites serving B is more than 1000 3. The number of satellites serving C cannot be uniquely determined 4. All 1600 satellites serve B or C orS

19. Answer the following: Q1. What best can be said about the number of satellites serving C? 1. Must be at least 100 2. Cannot be more than 800 3. Must be between 450 and 725 4. Must be between 400 and 800 Q2. What is the minimum possible number of satellites serving B exclusively? 1. 250 2. 100 3. 500 4. 200 Q3. If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 1. At most 475 3. No conclusion is possible based on the given information 2. Exactly 475 4. At least 475 Q4. If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 1. The number of satellites serving B exclusively is exactly 250 2. The number of satellites serving B is more than 1000 3. The number of satellites serving C cannot be uniquely determined 4. All 1600 satellites serve B or C orS

20. 10a c 800. b=2a-50' minimum and maximum values of a as 25 B(2x C(x) and 80 respectively 10a minimum & maximum value of c becomes 0 and 550. 100 2a-50 112a-50 >= 100 a 75 Min value = 5*80 + 0 + 50 = 450 Max. Value = 5175 + 50 + 50 = 475 2a-50 OTHERS S(x)

21. 10a c 800. b 2a - 50, minimum and maximum values of a as 25 B(2x C(x) and 80 respectively 10a 3a minimum & maximum value of c becomes 0 and 550. 2a 2c 50 1200 => a + c = 575 100 2a-50 2a-50 OTHERS S(x)

22. 10a c 800 b 2a - 50, minimum and maximum values of a as 25 B(2x C(x) and 80 respectively 10a 3a minimum & maximum value of c becomes 0 and 550. 2a 2c 50 1200 => a + c = 575 100 2a-50 2a-50 OTHERS S(x)

23. 10a c 800 b 2a - 50, minimum and maximum values of a as 25 B(2x C(x) and 80 respectively 10a 3a minimum & maximum value of c becomes 0 and 550. 100 2a-50 2a 2c 50 1200 a+c 575 Solving () and (i), a = 25, c = 550 2a-50 OTHERS S(x)

24. Answer the following: Q1. What best can be said about the number of satellites serving C? 1. Must be at least 100 2. Cannot be more than 800 3. Must be between 450 and 725 4. Must be between 400 and 800 Q2. What is the minimum possible number of satellites serving B exclusively? 1. 250 2. 100 3. 500 4. 200 Q3. If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 1. At most 475 3. No conclusion is possible based on the given information 2. Exactly 475 4. At least 475 Q4. If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 1. The number of satellites serving B exclusively is exactly 250 2. The number of satellites serving B is more than 1000 3. The number of satellites serving C cannot be uniquely determined 4. All 1600 satellites serve B or C orS

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