EXERCISE ON RANKINGS

Directions for Questions 1 to 4: (Matching Puzzle):

Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bangal and Ms Maharashtra.

Mrs Bankatlal, who was very anxious about the result asked about it as soon as he was back home. Mr Bankatlal told her just that the one who was wearing the yellow saree won the contest. WhenMrs Bankatlal pressed for further details, he elaborated as follows:

i. All of them were sitting in a row.

ii. All of them wore sarees of different colours, viz. green, yellow, white, red.

iii. There was only one runner-up and she was sitting beside Ms Maharashtra.

iv. The runner-up was wearing the green saree.

V. Ms West Bengal was not sitting at the end and was not the runner-up.

vi. The winner and the runner up are not sitting adjacent to each other.

vii. Ms Maharashtra was wearing a white saree.

viii. Ms Andhra Pradesh was wearing a green saree.

ix. Participants wearing yellow saree and white saree were at the ends.

1. Who wore the red saree?

(a) Ms Andhra Pradesh

(b) Ms West Bangal

(d) Ms Maharashtra

2. Ms West Bengal was sitting adjacent to

(a) Ms Andhra Pradesh and Ms Maharashtra

(b) Ms Uttar Pradesh and Ms Maharashtra

(d) Ms Uttar Pradesh only

3. Which saree was worn by Ms Andhra Pradesh?

(a) Yellow (b) Red

4. Who was the runner-up?

(a) Ms Andhra Pradesh

(b) Ms West Bengal

(d) Ms Maharashtra

5. Who was the winner of the beauty contest?

(a) Ms Andhra Pradesh

(b) Ms West Bengal

(d) Ms Maharashtra

Directions for Questions 6 to 10: Study the following information carefully and answer the questions given below:

Five geeks (enthusiasts) entered a comic book character costume contest held during the comic con festival.

The contestants dressed up and were given two awards—one for being best in a particular category (i.e. strongest, smartest, most efficient, scariest and powerful) and one for being ranked (i.e. l^st, 2^nd, 3^rd, 4^th and 5^th). Determine who wore what costume and what two awards they received.

(i) The winner of the most efficient character’s costume was ranked just above Sacha’s character’s costume (which wasn’t the superman).

(ii) The winner of the strongest category (which wasn’t the Wonderwoman) was not worn by Billy.

(iii) The joker’s costume was ranked just above Sacha’s costume (which wasn’t the strongest costume winner).

(iv) The Wonderwoman costume ranked just above the scariest costume and just below Vladimirs’s costume.

(v) The Batman costume was placed just higher than the winner of the strongest costume and just lower than Catherine’s costume.

(vi) The Lex Luthor costume ranked just above Jelena’s (which wasn’t the Superman) and just below the smartest.

6. Who among the following ranked fifth?

(a) Billy (b) Jelena

7. Who among the following got the award of the scariest costume?

(a) Billy (b) Catharine

8. Which of the following is the costume of Sacha?

(a) Joker (b) Batman

9. Which of the following shows the correct order of ranks l^st, 2^nd, 3^rd, 4^th and 5^th respectively?

(a) Billy, Jelena, Vladimir, Sacha, Catherine

(b) Vladimir, Sacha, Catherine, Billy, Jelena

(d) Vladimir, Billy, Catherine, Sacha, Jelena

10. Which of the following are not correctly matched?

Costume Category

I. Joker Most Efficient

II. Batman Smartest

Directions for Questions 11 to 15: Sprinters in Olympics running on the track are carrying numbers from 1 to 7 at the back of their vests.

They complete the race when their feet touches the finish line at 9.10, 9.20, 9.30 seconds till 9.7 seconds i.e. at an interval of one mili second each. Each athlete is ranked from 1 (for the fastest) to 7 (for the slowest). The following additional information is known:

(i) The square of the highest total of the vest number and rank is 169 which occurs only once.

(ii) The square of the lowest total of vest number and rank is 16 and occurs only once.

(iii) The square of the total of vest number and rank = 81, occurs thrice.

Directions for Questions 16 to 20: In a bike racing competition, ten selected bikers from a city were to compete in various stunts. The structure of the competition requires all bikers to compete in five events before the elimination round begins so as to choose the top five bikers who will participate from that city at the national level. The ranks attained by each biker in the five events from first to tenth are:

It is also stated that:

i. The biker with the first rank in most events gets to eliminate the biker with the last rank in most of the events.

ii. The first rank holder of event E is not to be eliminated.

iii. A biker whose highest rank and the lowest rank difference is the second highest among all bikers is not to be eliminated.

iv. A biker who does not rank in the top five positions in any of the five events gets eliminated.

V. The biker with the same rank in most of the events gets to eliminate that event E biker with an immediately lower rank than his same ranks in all events.

vi. A biker who got the second highest rank in event D gets to eliminate the biker who got the same rank in event B.

vii. Any biker who gets the first rank in two or more events will not be eliminated.

viii. Among the bikers who got the lowest rank in event B and the one who got the ninth rank in event D, the one who got a higher rank in the event E gets to eliminate the other.

ix. The biker whose sum of all the ranks in the events is the highest and does not get eliminated by any other condition will not be eliminated.

It is also known that if more than 5 people are getting eliminated by one rule or the other, then it is allowed. However, if less than 5 people are getting eliminated, then there is a toss up between the remaining ones and the results are determined by the toss of a coin.

16. Who among the following is a biker who does not get a chance to eliminate another biker?

(a) Ben (b) Charlie

17. Who among the following is a biker who does not rank in the top four positions in any of the five events but does not get eliminated?

(a) Ethan (b) Frank

18. If a new condition is included in the problem stating that, ‘any biker who gets second rank in any event will not be eliminated’, then who among the following will not get eliminated?

(a) Garry (b) Harry

19. Which of the following conditions if not included in the problem do not change the final solution?

(a) ii (b) iv

20. It is found that the results of event D are wrong and the last two ranks have been mistakenly interchanged, then who among the following bikers cannot be definitely eliminated in the elimination round?

(a) Ethan & Devon (b) Garry & John

Directions for Questions 21 to 23: Refer to the following information to answer the questions that follow.

A. Seven students A, B, C, D, E, F and G take a series of tests.

B. No two students get similar marks.

C. G always scores more than A.

D. A always scores more than B.

E. Each time either C scores the highest and E gets the least, or alternatively D

scores the highest and F or B scores the least.

21. If G is ranked fifth, which of these must be true?

(a) D scores the highest.

(b) C is ranked second.

(d) B is ranked fourth.

22. IfD is ranked second, which of the following can be true?

(a) A gets more than C.

(b) G gets more than D.

(d) F gets more than G.

23. IfD is ranked sixth and B is ranked fifth, which of these can be true?

(a) G is ranked first or fourth.

(b) C is ranked second or third.

(d) F is ranked third or fourth.

Directions for Questions 24 to 28: Each of the following questions gives information about an individual attribute through statements 1, 2, and 3. For each question if the first two statement are true, what conclusion can be drawn about the third statement?

24.

(1) Gulabjamuns are sweeter than rosagullas but Iaddoos are sweeter than gulabjamuns.

(2) Rosagullas are sweeter thanchamchams but pet has are sweeter than rosagullas.

(3) Of the five kinds of sweets, chamchams are the least in terms of sweetness.

If the first two statements are true, the third statement is

(a) True

(b) False

24. On the day the triplets were born to Moti the female dog,

(1) A weighs more than B.

(2) B weighs less than C.

(3) Of the three puppies, C weighs the most.

If the first two statements are true, the third statement is

(a) True

(b) False

25. At a car showroom,

(1) the price of Car A was lower than that of Car B.

(2) the price of Car C was lower than that of Car B.

(3) the price of Car A was higher than that of Car C.

If the first two statements are true, the third statement is

(a) True

(b) False

26. In the country of Mohenjo Daro,

(1) Cricket is bigger than Football and smaller than Tennis.

(2) Hockey is smaller than Tennis and bigger than Cricket.

(3) Football is bigger than Hockey.

If the first two statements are true, the third statement is

(a) True

(b) False

27. Ramu has 3 marble boxes.

(1) Box A contains more marbles than Box B.

(2) Box B contains more marbles than Box C.

(3) Box C contains more marbles than Box A.

If the first two statements are true, the third statement is

(a) True

(b) False

Directions for Questions 29 to 32: Five cities all got more rain than usual this year. The five cities are: Aurangabad, Ahmednagar, Pune, Mumbai and Nagpur. The cities are located in five different areas of the country: the mountains, the forest, the coast, the desert, and in a valley. The rainfall amounts were: 24 inches, 54 inches, 64 inches, 88 inches and 130 inches.

■ The city in the desert got the least rain; the city in the forest got the most rain.

■ Pune is in the mountains.

■ Aurangabad got more rain than Mumbai.

■ Ahmednagar got more rain than Nagpur, but less rain than Pune.

■ Mumbai got 88 inches of rain.

■ The city in the mountains got 64 inches of rain; the city on the coast got 54 inches of rain.

29. Which city is in the desert?

(a) Aurangabad (b) Ahmednagar

30. Which city got the most rain?

(a) Aurangabad (b) Ahmednagar

31. How much rain did Ahmednagar get?

(a) 24 inches (b) 54 inches