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Six ladies are traveling in train together. They are sitting in one block facing each other, three on a side. Each has written a book in the areas of her occupation, and every one is reading a book written by one of them (not their own). No two persons are reading the same book. Following facts are also known I. A is reading mathematics in a corner. She does not have interest in psychology. II. B is reading a book authored by the person opposite her. III. C is sitting between the mathematician and the Chemist, and is reading a book on biology. IV. D is sitting opposite the biologist and is reading a geology book. V. The mathematician is sitting opposite the psychologist. VI. G is sitting next to the geologist and is reading a chemistry book. VII. Ms. F is sitting in a corner, next to the astronomer.

1. Who sits opposite to C?

2. Which book is Ms. F reading?

3. A is

4. Which of the pair of girls sitting opposite to each other is not true?

5. Which of the following statement(s) is/are correct? I. A is reading Mathematics. II. G is a psychologist. III. C is an astronomer.

Swimming is one of the many competitions that is conducted in the commonwealth games. In this category, athletes compete for medals in a total of 20 events. In every event, 1 gold medal, 1 silver medal and 1 bronze medal are awarded to the players finishing first, second and third respectively. The summary of the medal tally and rankings for this category in the recently concluded Melbourne commonwealth game is given below. Note: Some of the values in the table are missing. Some additional facts: i. In these 20 events, the athletes belonging to the countries mentioned in the above table won all the medals. ii. 3 points are awarded for a gold medal, 2 points for a silver medal and 1 point for a bronze medal. The “Total points” of a country is the sum of the points obtained for gold medals, silver medals and bronze medals won by the athletes of the country. iii. The countries are ranked in descending order of the their “Total Points”. iv. If two countries have an equal number of “Total Points”, then the country with the higher number of gold medals is ranked higher. If the number of gold medals is also equal, then the country with the higher number of silver medals is ranked higher.

6. Which of the following is the “Total Points” of England?

7. If Canada won 3 silver medals, then how many silver medals did Scotland win?

8. If Canada won 3 silver medals, then how many bronze medals did Australia win?

9. If New Zealand won 2 bronze medals, then which of the following is the “Total Points” of South Africa? (Use information from the previous question)

10. Which of the following statements is definitely false?

Two brothers A and B are stationed at a point P on a very long road PQ. They start playing a game with a dice. The dice is in form of a cube with integers 1 to 6 written on the six faces of the cube with one number on each face. Each one of them throws the dice alternately and moves forward (towards point Q) the number of steps equal to the number that appears on the top face of the dice, if it is greater than the number appeared in the previous throw by the same brother.

If the number appearing on the top face of the dice in a particular throw by a brother is less than the number appearing on the top face of the dice in the previous thrown by the same brother, then that brother moves (6 – number appearing on the top face of dice) steps backwards towards point P.

If the number appearing on the top face of the dice in a particular throw by a brother is same as that in the previous throw by the same brother, then the throw is not considered as valid and that brother throws the dice again till a different number appears on the top face of the dice.

If after a throw, someone needs to take certain number of backward steps that prompts him to go even behind P, that throws is considered as cancelled. In this case he has to throw the dice again.

11. What can be the maximum possible distance between the two brothers after the first 4 rounds?

12. If the number appearing on the top of the dice in 6 consecutive throws by A are distinct and 6 appears in the third throw, then what can be the maximum possible distance covered by A in these 6 throws?

13. In a particular throw by B, the number that appeared on the top face of the dice was 1 and after that throw B was 14 steps ahead of A. Find the minimum possible number of throws required such that the distance between two brothers becomes zero?

14. If there was at least one throw which caused A to move backwards (towards P) and A traveled 27 steps in the forward direction (towards Q), then what can be the minimum possible number of times A threw the dice?

15. If A reaches Q without taking any backward step ever, what can be the maximum distance between P and Q?

These questions are based on the chart below presenting data on percentage population covered by drinking water and sanitation facilities in selected Asian countries. Country A is said to be dominate B or A > B if A has higher percentage in total coverage for both drinking water and sanitation facilities, and, B is said to be dominated by A, or B< A.

A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country.

16. What are the countries on the coverage frontier?

17. Which of the following statements are true? a. India > Pakistan and India > Indonesia b. India > China and India > Nepal c. Sri Lanka > China d. China > Nepal

18. Using only the data presented under Sanitation Facilities columns, it can be concluded that rural population in India, as a percentage of its total population is approximately.

19. Again, using only the data presented under Sanitation Facilities columns, sequence China, Indonesia and Philippines in ascending order of rural population as a percentage of their respective total populations. The correct order is:

20. India is not on the coverage frontier because a. It is lower than Bangladesh in terms of coverage of drinking water facilities. b. It is lower than Sri Lanka in terms of coverage of sanitation facilites. c. It is lower than Pakistan in terms of coverage of sanitation facilities. d. It is dominated by Indonesia.

Line 1: % growth, over the previous year, of number of students who secured more than 90% of marks. Line 2: Number of students who secured more than 90% of marks as a percentage of the total number of students who applied for the exam. Line 3: Students who appeared for the exam as a percentage of the total number of students who applied for the exam. Note: Number of students who got more than 90% of marks in 1993-94 is 4000.

21. The compound annual growth rate from 1994-95 to 199-2000 in the number of students who appeared for the exam is

22. In which year was the total number of students who applied for the exam the highest, during the period 1994-95 to 1999-2000?

23. In a certain year, the university claimed that the students who secured more than 90% of marks in that year was more than twice of that in 1993-94. Which was the earliest year in which the university could have made the claim?

24. The number of students who applied for the exam in 1997-98 is equal to the number of students who appeared for the exam in

25. The percentage increase in the number of students who secured more than 90% of marks from 1994-95 to 1999-2000 is