Total Gadha's CAT DI Challenge

This is for students who have been only practicing quant or verbal on TG and not solving enough DI question. All the CAT 2007/2008 aspirants are ordered to solve these DI sets. We will keep posting similar sets every week. Solve every set completely and not just one or two questions from the sets. Good luck!

DI- 1
CAT 2004- 2 marker
Twenty one participants from four continents (Africa, Americas, Australasia, and Europe) attended a United Nations conference. Each participant was an expert in one of four fields, labour, health, population studies, and refugee relocation. The following five facts about the participants are given.
(a) The number of labour experts in the camp was exactly half the number of experts in each of the three other categories
(b) Africa did not send any labour expert. Otherwise, every continent, including Africa, sent at least one expert for each category.
(c) None of the continents sent more than three experts in any category.
(d) If there had been one less Australasian expert, then the Americas would have had twice as many experts as each of the other continents.
(e) Mike and Alfanso are leading experts of population studies who attended the conference. They are from Australasia.

1. Alex, an American expert in refugee relocation, was the first keynote speaker in the conference. What can be inferred about the number of American experts in refugee relocation in the conference, excluding Alex?
i. At least one ii. At most two

1. Only i and not ii 2. Only ii and not i
3. Both i and ii 4. Neither i nor ii

2. Which of the following numbers cannot be determined from the information given?
1. Number of labour experts from the Americas
2. Number of health experts from Europe.
3. Number of health experts from Australasia
4. Number of experts in refugee relocation from Africa

3. Which of the following combinations is NOT possible?
1. 2 experts in population studies from the Americas and 2 health experts from Africa attended the conference.
2. 2 experts in population studies from the Americas and 1 health expert from Africa attended the conference.
3. 3 experts in refugee relocation from the Americas and 1 health expert from Africa attended the conference.
4. Africa and America each had 1 expert in population studies attending the conference.

4. If Ramos is the lone American expert in population studies, which of the following is NOT true about the numbers of experts in the conference from the four continents?
1. There is one expert in health from Africa.
2. There is one expert in refugee relocation from Africa.
3. There are two experts in health from the Americas.
4. There are three experts in refugee relocation from the Americas.

DI- 2
CAT 2005 (2- marker)

In the table below is the listing of players, seeded from highest (#1) to lowest (#32), who are due to play in an Association of Tennis Players (ATP) tournament for women. This tournament has four knockout rounds before the final, i.e., first round, second round, quarterfinals, and semi-finals. In the first round, the highest seeded player plays the lowest seeded player (seed # 32) which is designated match No. 1 of first round; the 2^nd seeded player plays the 31^st seeded player which is designated match No. 2 of the first round, and so on. Thus, for instance, match No. 16 of first round is to be played between 16^th seeded player and the 17^th seeded player. In the second round, the winner of match No. 1 of first round plays the winner of match No. 16 of first round and is designated match No. 1 of second round. Similarly, the winner of match No. 2 of first round plays the winner of match No. 15 of first round, and is designated match No. 2 of second round. Thus, for instance, match No. 8 of the second round is to be played between the winner of match No. 8 of first round and the winner of match No. 9 of first round. The same pattern is followed for later rounds as well.

1. If there are no upsets (a lower seeded player beating a higher seeded player) in the first round, and only match Nos. 6, 7, and 8 of the second round result in upsets, then who would meet Lindsay Davenport in quarter finals, in case Davenport reaches quarter finals?
1. Justine Henin 2. Nadia Petrova 3. Patty Schnyder 4. Venus Williams

2. If Elena Dementieva and Serena Williams lose in the second round, while Justine Henin and Nadia Petrova make it to the semi-finals, then who would play Maria Sharapova in the quarterfinals, in the event Sharapova reaches quarterfinals?
1. Dinara Safina 2. Justine Henin 3. Nadia Petrova 4. Patty Schnyder

3. If, in the first round, all even numbered matches (and none of the odd numbered ones) result in upsets, and there are no upsets in the second round, then who could be the lowest seeded player facing Maria Sharapova in semi-finals?
1. Anastasia Myskina 2. Flavia Pennetta 3. Nadia Petrova 4. Svetlana Kuznetsova

4. If the top eight seeds make it to the quarterfinals, then who, amongst the players listed below, would definitely not play against Maria Sharapova in the final, in case Sharapova reaches the final?
1. Amelie Mauresmo 2. Elena Dementieva 3. Kim Clijsters 4. Lindsay Davenport

DI- 3
CAT 2006- 4 marker

Two traders, Chetan and Michael, were involved in the buying and selling of MCS shares over five trading days. At the beginning of the first day, the MCS share was priced at Rs 100, while at the end of the fifth day it was priced at Rs 110. At the end of each day, the MCS share price either went up by Rs 10, or else, it came down by Rs 10. Both Chetan and Michael took buying and selling decisions at the end of each trading day. The beginning price of MCS share on a given day was the same as the ending price of the previous day. Chetan and Michael started with the same number of shares and amount of cash, and had enough of both. Below are some additional facts about how Chetan and Michael traded over the five trading days.

· Each day if the price went up, Chetan sold 10 shares of MCS at the closing price. On the other hand, each day if the price went down, he bought 10 shares at the closing price.

· If on any day, the closing price was above Rs 110, then Michael sold 10 shares of MCS, while if it was below Rs 90, he bought 10 shares, all at the closing price.

1. If Chetan sold 10 shares of MCS on three consecutive days, while Michael sold 10 shares only once during the five days, what was the price of MCS at the end of day 3?
(1)Rs 90 (2) Rs 100 (3) Rs 110 (4) Rs 120 (5) Rs 130

2. If Chetan ended up with Rs 1300 more cash than Michael at the end of day 5, what was the price of MCS share at the end of day 4?
(1) Rs 90 (2) Rs 100 (3) Rs 110 (4) Rs 120 (5) Not uniquely determinable

3. If Michael ended up with 20 more shares than Chetan at the end of day 5, what was the price of the share at the end of day 3?
(1) Rs 90 (2) Rs 100 (3) Rs 110 (4) Rs 120 (5) Rs 130

4. If Michael ended up with Rs 100 less cash than Chetan at the end of day 5, what was the difference in the number of shares possessed by Michael and Chetan (at the end of day 5)?
(1) Michael had 10 less shares than Chetan.
(2) Michael had 10 more shares than Chetan.
(3) Chetan had 10 more shares than Michael,
(4) Chetan had 20 more shares than Michael.
(5) Both had the same number of shares.

5. What could have been the maximum possible increase in combined cash balance of Chetan and Michael at the end of the fifth day?
(1) Rs 3700 (2) Rs 4000 (3) Rs 4700 (4) Rs 5000 (5) Rs 6000