Optimization and numeric techniques.pptx

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1. Example-1 Directions (1 -5): 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 1 Data Interpretation (CO5)

2. 1. What is the average amount of interest per year which the company had to pay during this period? A. Rs. 32.43 lakhs B. Rs. 33.72 lakhs C. Rs. 34.18 lakhs D. Rs. 36.66 lakhs Sol: Average amount of interest paid by the Company during the given period = lakhs = Rs. 36.66 lakhs.   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 2 Data Interpretation (CO5)

3. 2. The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period? A. 0.1% B. 0.5% C. 1% D. 1.25% Explanation: Required percentage = = 1%.   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 3 Data Interpretation (CO5)

4. 3. Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002? A. 62% B. 66% C. 69% D. 71% Explanation: Required percentage = = 69.45 %.   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 4 Data Interpretation (CO5)

5. 4. The total expenditure of the company over these items during the year 2000 is? A. Rs. 544.44 lakhs B. Rs. 501.11 lakhs C. Rs. 446.46 lakhs D. Rs. 478.87 lakhs Explanation: Total expenditure of the Company during 2000 = Rs. (324 + 101 + 3.84 + 41.6 + 74) lakhs = Rs. 544.44 lakhs. 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 5 Data Interpretation (CO5)

6. 5. The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately? A. 4:7 B. 10:13 C. 15:18 D. 5:8 Explanation: Required ratio= =   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 6 Data Interpretation (CO5)

7. Example:2 Directions (1-5): The following pie-chart shows the number of students who failed in different subjects in an examination, Examine the chart and answer the following questions. The total number of students who have failed in 500. 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 7 Data Interpretation (CO5)

8. 1. The number of students failed in science is less than the number of students failed in all other subjects by: A. 170 B. 140 C. 180 D. 160 Explanation: Required= = 180   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 8 Data Interpretation (CO5)

9. 2. The central angle of the sector for the students who have failed in mathematics is: A. 30° B. 100° C. 105.2° D. 108° Explanation: Required= = 108   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 9 Data Interpretation (CO5)

10. 3. Total number of students who did not qualify in Mathematics and Language and Science is: A. 460 B. 490 C. 480 D. 470 Explanation: Required= = 490   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 10 Data Interpretation (CO5)

11. 4. Number of students who failed in mathematics is less then the students who did not qualify in languages by: A. 20 B. 40 C. 30 D. 50 Required= = 3   2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 11 Data Interpretation (CO5)

12. 5. The percentage of students who have failed in mathematics and language is: A. 65.5% B. 60% C. 66% D. 62% Explanation: Required percentage= (36 + 30) = 66% 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 12 Data Interpretation (CO5)

13. Number System Permutation & Combination Probability Function Data Interpretation 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 13 Recap(CO2)

14. Syllogism (CO5) Introduction: The questions which are asked in this section contain two or more statements and these statements are followed by two or more conclusions. You have to find out which of the conclusions logically follow from the given statements. The statements have to be taken true even if they seem to be at variance from the commonly known facts. For such questions, you can take the help of  Venn Diagrams . On the basis of the given statements, you should draw all the possible diagrams, and then derive the solution from each of these diagrams separately. Finally, the answer common to the all the diagrams is taken. 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 14

15. Syllogism (CO5) Example 1: Statements: All dogs are asses. All asses are bulls. Conclusions: Some dogs are not bulls. Some bulls are dogs. All bulls are dogs. All dogs are bulls. 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 15       

16. Syllogism (CO5) Solution: On the basis of both statements, the following one diagram is possible. From the diagram it is clear that (2) and (4) conclusions logically follow. 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 16

17. Syllogism (CO5) Example:2 Statements:   Some actors are singers. All the singers are dancers. Conclusions: Some actors are dancers. No singer is actor. Then Only (1) conclusion follows Only (2) conclusion follows Either (1) or (2) follows Neither (1) nor (2) follows 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 17

18. Syllogism (CO5) Sol: Only 1 follows 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 18

19. Syllogism (CO5) Example:3 Statements:   No door is dog. All the dogs are cats. Conclusions: No door is cat. No cat is door. Some cats are dogs. All the cats are dogs. Then Only (2) and (4) Only (1) and (3) Only (3) and (4) Only (3) 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 19

20. Syllogism (CO5) Sol: Only 3 follows 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 20

21. Syllogism (CO5) Example-4 Statements:  All the locks are keys. All the keys are bats. Some watches are bats. Conclusions: Some bats are locks. Some watches are keys. All the keys are locks. Then Only (1) and (2) Only (1) Only (2) Only (1) and Only (3) 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 21

22. Syllogism (CO5) Sol: 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 22

23. Statements:   Some ants are parrots. All the parrots are apples Conclusions: All the apples are parrots. Some ants are apples. Then Only (1) conclusion follows Only (2) conclusion follows Neither (1) nor (2) follows Both (1) and (2) follow 2/29/2024 Faculty Name: Dr. Kunti Mishra Optimization & Numerical Techniques (AAS0404) Unit V 23 Syllogism (CO5)