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 semifinals. 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 semifinals, 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 semifinals? 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.
Â·
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.
Â·
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
