hi puys,
as the current season is over, people have opened new threads (quite promptly )
so please carry on with the discussions here...
http://www.pagalguy.com/forum/quantitative-questions-and-answers/48796-cat-2010-lr-di-thread.html#post1822188

closing this thread.
best of luck

Two logicians place cards on their foreheads so that
what is written on the card is visible only to the other logician.
Consecutive positive integers have been written on
the cards. The following conversation ensues:
A : I dont know my number.
B : I dont know my number.
A : I dont know my number.
B: I dont know my number.
...n statements of ignorance later A or B : I know my number.

1. At least how many conversations are needed for A
or B to find out their own numbers?

(a) One (b) Two
(c) Cant say (d) Infinite

2. If there are exactly 10 statements exchanged between
A and B, who first knows his number?
(a) A
(b) B
(c) Cannot say
(d) No one knows his number for sure

3. If there are exactly 5 statements of ignorance exchanged
between A and B, who first knows the number
and what is the number?
(a) A, 7 (b) B, 5
(c) B, 6 (d) Cannot say

When Jojo was two years old, Gogo was four times as old as Pogo. When Pogo was twice as old as Jojo, Gogo was three times as old as Pogo. How old was Jojo when Gogo was twice as old as Pogo?
Choose one answer.
a. 9
b. 6
c. 15
d. Data insufficient
e. 18

Jojo Gogo Pogo
------------------------
Caes 1: 2 4P P
Case 2: J 6J 2J
Case 3: ? 2x x

2J - P = J - 2 ---- (i)
6J - 4P = J - 2 ----(ii)
x - P = 2x - 4P --- (ii)

Solving above we get

Ans : 18

A foreigner studying the weather of mumbai City for N number of days observed that:

1.It rained on 7 days, morning or evening.*
2.When it rained in the afternoon it was clear in the morning.
3.There were 5 clear afternoons*
4.There were 6 clear mornings.

What is the value of N?

When Jojo was two years old, Gogo was four times as old as Pogo. When Pogo was twice as old as Jojo, Gogo was three times as old as Pogo. How old was Jojo when Gogo was twice as old as Pogo?
Choose one answer.
a. 9
b. 6
c. 15
d. Data insufficient
e. 18

PUYS try this set of LR...
Directions for next 3 Questions: Answer the questions based on the following information. Long ago, King Ashoka, organized a horse riding competition. The entry fee for participation was one gild coin and the total number of coins collected would be distributed among the first four winners. All the four winners were awarded with a different number of coins; however the winner in the first position got the maximum coins and so on, so that the winner in the fourth position got the least number of coins.
A, B, C, D were the first four winners in the competition so that;
I. A did not come first, B did not come second, C did not come third and D did not come fourth.
II. B won more coins than C.
III. D won more coins than B.
1. C, one of the four winners ended the competition in position number.
a. 4
b. 2
c. 1
d. Cannot be determined
2. If 12 participants took part in the competition, then how many coins did B win?
a. 2
b. 3
c. 4
d. Cannot be determined
3. If 13 participants took part in the competition and A won 4 coins, how many coins did d win?
a. 7
b. 5
c. 6
d. Cannot be determined

Answers :
1. option A.4
2. option A.2
3. option D. CBD (5,6)

wintersanshul Says

Hehehe... thats whr we both got stuck. So i think that it should follow some ascending/descending order.

lol.. yeah.. :cheerio:
I think the concept of saddle point is pretty much clear to all of us now. But now, look at the question that started all this hulla ballo. There is no where given in the questions that students were standing as per there height? So.. I think that change our answers.

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

does the share prices increase and decrease in multiple of 10 or only by 10. can it remain constant.

PUYS try this set of LR...
Directions for next 3 Questions: Answer the questions based on the following information. Long ago, King Ashoka, organized a horse riding competition. The entry fee for participation was one gild coin and the total number of coins collected would be distributed among the first four winners. All the four winners were awarded with a different number of coins; however the winner in the first position got the maximum coins and so on, so that the winner in the fourth position got the least number of coins.

A, B, C, D were the first four winners in the competition so that;

I. A did not come first, B did not come second, C did not come third and D did not come fourth.
II. B won more coins than C.
III. D won more coins than B.

1. C, one of the four winners ended the competition in position number.
a. 4
b. 2
c. 1
d. Cannot be determined

2. If 12 participants took part in the competition, then how many coins did B win?
a. 2
b. 3
c. 4
d. Cannot be determined

3. If 13 participants took part in the competition and A won 4 coins, how many coins did d win?
a. 7
b. 5
c. 6
d. Cannot be determined

D>A>B>C

1. 4
2 CBD
3 CBD

Whats the OA???

PUYS try this set of LR...
Directions for next 3 Questions: Answer the questions based on the following information. Long ago, King Ashoka, organized a horse riding competition. The entry fee for participation was one gild coin and the total number of coins collected would be distributed among the first four winners. All the four winners were awarded with a different number of coins; however the winner in the first position got the maximum coins and so on, so that the winner in the fourth position got the least number of coins.

A, B, C, D were the first four winners in the competition so that;

I. A did not come first, B did not come second, C did not come third and D did not come fourth.
II. B won more coins than C.
III. D won more coins than B.

1. C, one of the four winners ended the competition in position number.
a. 4
b. 2
c. 1
d. Cannot be determined

2. If 12 participants took part in the competition, then how many coins did B win?
a. 2
b. 3
c. 4
d. Cannot be determined

3. If 13 participants took part in the competition and A won 4 coins, how many coins did d win?
a. 7
b. 5
c. 6
d. Cannot be determined

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

i am sorry for spamming but there is no activity here for so long. What is everybody doing these days. Am i missing something !!!

i remember doing a c++ program in my class 12th(in 2003 n nevr touchd programming after that) where we used to check whether a matrix contains a saddle point or not. so, there may or may not be a saddle point in a matrix. yeah, it is there once the matrix has its elements arranged in some order ascending or descending. i hope this info may be of some use.

thanks

U made my conclusion clear...!!

wintersanshul Says

Hehehe... thats whr we both got stuck. So i think that it should follow some ascending/descending order.

i remember doing a c++ program in my class 12th(in 2003 n nevr touchd programming after that) where we used to check whether a matrix contains a saddle point or not. so, there may or may not be a saddle point in a matrix. yeah, it is there once the matrix has its elements arranged in some order ascending or descending. i hope this info may be of some use.

thanks

k.. I read the qstn carefully.. (I got that qstn wrng earlier)
Your example is fine as per the concept. But If we consider the matrix given by jaidev_iyer(quoted above), the answers for columns and rows come out to be 4 n 5.

and I think the concept goes fine if we impose a condition with the matrix - 'to arrange the rows or columns in ascending order or descending order'.
Is it so?... if it have a condition like this?

Hehehe... thats whr we both got stuck. So i think that it should follow some ascending/descending order.

What if it is like this :

1 4 5
2 9 6
7 8 3

wintersanshul Says

A and B r coming same in that matrix... i checked it once again..

What if it is like this :

1 4 5
2 9 6
7 8 3

dude I dont think we can get answer as option 4,niether I think that we can apply saddle point concept here..
take a 3X3 matrix ( the one u have shown) I think A n B coming different.

k.. I read the qstn carefully.. (I got that qstn wrng earlier)
Your example is fine as per the concept. But If we consider the matrix given by jaidev_iyer(quoted above), the answers for columns and rows come out to be 4 n 5.

and I think the concept goes fine if we impose a condition with the matrix - 'to arrange the rows or columns in ascending order or descending order'.
Is it so?... if it have a condition like this?

wintersanshul Says

It was interesting to search about saddle point concept.. But its a purely mathematical topic with too many axioms nd theorems.. Its hard to reach conclusion but i think that the data should be arranged in regular order. I too lack much information abt this topic.

What if it is like this :

1 4 5
2 9 6
7 8 3

wintersanshul Says

A and B r coming same in that matrix... i checked it once again..

Yeah..thats what I meant when I said I was getting arbitrary and inconsistent results in my earlier post.

Anyways, thanx a lot for ur participation. Let us know if you find anything which throws some (more) light onto this.

What if it is like this :

1 4 5
2 9 6
7 8 3

It was interesting to search about saddle point concept.. But its a purely mathematical topic with too many axioms nd theorems.. Its hard to reach conclusion but i think that the data should be arranged in regular order. I too lack much information abt this topic.

dude I dont think we can get answer as option 4,niether I think that we can apply saddle point concept here..
take a 3X3 matrix ( the one u have shown) I think A n B coming different.

A and B r coming same in that matrix... i checked it once again..

I hope I am posting this prob in correct Thread:

In a group of 120, 80 are bengalis ,40 gujratis, further info,70 persons are muslims and remaining hindus.
No of bengali muslims are:

1.30 or more.
2.20
3.between 15 and 25
4.between 20 and 25

in the worst case scenario........out of 70 muslims all 40 gujratis are muslims....so 30 muslims are bengalis.........for any variation in the gujrati side...no. of bengali muslims will increase....
so A. 30 or more seems correct

lets take matrix of this type for example, no's representing corresponding heights


1 2 3
4 5 6
7 8 9

here saddle point is 3, isnt it as per our question?

Originally Posted by lordsun.sun
Six hundred students are made to stand in 20 by 30 rectangle, forming 20 similar rows of 30 students each. From each of the 30 columns the shortest student is selected, and the tallest of these 30 students is titled A. The students go back to stand in their original places. Next, the tallest student in each row is selected, and from these 20 students the shortest is titled B. Then
Choose one answer.
a. A is taller than B
b. B is taller than A
c. A and B are of the same height
d. A and B are always the same person
Yup using saddle point concept, A = B.
So 4

dude I dont think we can get answer as option 4,niether I think that we can apply saddle point concept here..
take a 3X3 matrix ( the one u have shown) I think A n B coming different.

I hope I am posting this prob in correct Thread:

In a group of 120, 80 are bengalis ,40 gujratis, further info,70 persons are muslims and remaining hindus.
No of bengali muslims are:

1.30 or more.
2.20
3.between 15 and 25
4.between 20 and 25

Maximum number of gujarati Muslims possible is 40. So, we are left with atleast 30 muslims who have to be bengali.

So, Option A.30 or more

I hope I am posting this prob in correct Thread:

In a group of 120, 80 are bengalis ,40 gujratis, further info,70 persons are muslims and remaining hindus.
No of bengali muslims are:

1.30 or more.
2.20
3.between 15 and 25
4.between 20 and 25

hi..pls help me with this..thanks..

What can be the minimum distance of that milestone from city B?
a)288
b)1189
c)204
d)1681

you haven't posted any question with the attachment..

How long will it take for all the ants to fall off the scale?
a. 100 s
b. (2^100 + 1)/2 s
c. (2^100 - 1)/2 s
d. 1 s

hi puys,
plzz. help me out with these DI problems


Direction for Questions 1 to 4:
Read the information given below and answer the questions that follow.
The Venn diagram shown below represents the past-time habits of people of age 10 years and above in five
different categories - smoking, drinking, playing golf, playing cards and chewing tobacco. The numbers
given in each region represent the number of people in that category. For example, 28 represents the
number of people who have the following past-time habits - drinking and playing cards.

(now, its a venn diagram, with totally 5 circles,3 above and 2 below just like the official olympics logo )



THE circles are labelled as 1,2,3
4,5

where



Category I
People who smoke
Category II People who drink
Category III People who play golf
Category IV People who play cards
Category V People who chew tobacco
values are
between 1 and 2 alone :12
between 1,2 and 4 :7
between 1 and 4 alone :26
1 alone :11
2 alone:13
2 and 3 alone :4
between 2 and 4 alone :28
between 2,4 and 5:9
between 2 and 5 alone :10
between 2,3 and 5 :11
3 alone :15
3 and 5 alone :12
5 alone:15
4 alone :13
4 and 5 alone :14

The graph below provides additional information on further age group distribution for only category IV, which
hold true for all the included regions individual as well (that is, common regions out of which at least one
category is IV)

a pie chart is shown
90 degree - 10-14 yrs
30 degree -14-16 yrs
120 -16-20 yrs
120 - 20 and above


All fractions can be rounded off to the nearest natural number.
1. How many people who play cards only or play golf only, belong to the age group 16-20 years ?
a. 28 b.30 c.19 d. Data Insufficient
2. How many people who smoke and play cards, belong to the age group 14-16 years ?
a. 3 b. 33 c. 2 d. Data Insufficient
3. How many people who play cards and chew tobacco, belong to the age group 10-14 years ?
a. 4 b. 6 c. 23 d. Data Insufficient
4. If the age distribution of Category IV applies to all the five categories, then the total number of
people (having these five past-time habits), who belong to the age group 20 and above, is
a. 54 b. 32 c. 67 d. 49

lets take matrix of this type for example, no's representing corresponding heights


1 2 3
4 5 6
7 8 9

here saddle point is 3, isnt it as per our question?

What if it is like this :

1 4 5
2 9 6
7 8 3

srinivas2433 Says

hi evryone..pls help me with tis problm..thanks.

you haven't posted any question with the attachment..

hi evryone..pls help me with tis problm..thanks.

lets take matrix of this type for example, no's representing corresponding heights


1 2 3
4 5 6
7 8 9

here saddle point is 3, isnt it as per our question?

Hope this definition will make r point clear -

When looking at a horse saddle, the saddle point (i.e. the centre) is the lowest point on the structure in the longitudinal plane whilst also being the highest point on the structure in the lateral plane. Therefore it can be considered geometrically to simultaneously be a point of maximum and minumum height in space. This describes well the equilibrium situation in game theory where the agent tries to minimize the maximum possible loss. Alternatively, it can be thought of as maximizing the minimum gain.

Refer to the attachment. It shows graphical representation of saddle point.

Thank you.

But when I tried doing the problem by reducing the problem to a 3*3 situation, I was getting arbitrary and inconsistent results.

Could be explain the saddle point concept little more.
Thanks in advance!

Hope this definition will make r point clear -

When looking at a horse saddle, the saddle point (i.e. the centre) is the lowest point on the structure in the longitudinal plane whilst also being the highest point on the structure in the lateral plane. Therefore it can be considered geometrically to simultaneously be a point of maximum and minumum height in space. This describes well the equilibrium situation in game theory where the agent tries to minimize the maximum possible loss. Alternatively, it can be thought of as maximizing the minimum gain.

Refer to the attachment. It shows graphical representation of saddle point.

Originally Posted by lordsun.sun
Six hundred students are made to stand in 20 by 30 rectangle, forming 20 similar rows of 30 students each. From each of the 30 columns the shortest student is selected, and the tallest of these 30 students is titled A. The students go back to stand in their original places. Next, the tallest student in each row is selected, and from these 20 students the shortest is titled B. Then


Choose one answer.
a. A is taller than B
b. B is taller than A
c. A and B are of the same height
d. A and B are always the same person
Yup using saddle point concept, A = B.
So 4

Could be explain the saddle point concept little more.
Thanks in advance!

Originally Posted by lordsun.sun
Six hundred students are made to stand in 20 by 30 rectangle, forming 20 similar rows of 30 students each. From each of the 30 columns the shortest student is selected, and the tallest of these 30 students is titled A. The students go back to stand in their original places. Next, the tallest student in each row is selected, and from these 20 students the shortest is titled B. Then


Choose one answer.
a. A is taller than B
b. B is taller than A
c. A and B are of the same height
d. A and B are always the same person


Yup using saddle point concept, A = B.
So 4

Originally Posted by lordsun.sun
Attachment 15184


You wish to see all the six nautankis. Further, you wish to ensure that you get a lunch break from 12:30 p.m. to 1:30 p.m. Which of the following ways can you do this?


Choose one answer.
a. Sati-Savitri is viewed first; Sundar Kand is viewed third and Jhansi ki Rani is viewed last.
b. Sati-Savitri is viewed last; Veer Abhimanyu is viewed third and Reshma aur Shera is viewed first.
c. Sati-Savitri is viewed first; Sundar Kand is viewed third and Joru ka Ghulam is viewed fourth.
d. Veer Abhimanyu is viewed third; Reshma aur Shera is viewed fourth and Jhansi ki Rani is viewed fifth.



Correct sequence - sati-sav@9am, veer, sundar, joru, jhansi and finally reshma@2pm

15184


You wish to see all the six nautankis. Further, you wish to ensure that you get a lunch break from 12:30 p.m. to 1:30 p.m. Which of the following ways can you do this?


Choose one answer.
a. Sati-Savitri is viewed first; Sundar Kand is viewed third and Jhansi ki Rani is viewed last.
b. Sati-Savitri is viewed last; Veer Abhimanyu is viewed third and Reshma aur Shera is viewed first.
c. Sati-Savitri is viewed first; Sundar Kand is viewed third and Joru ka Ghulam is viewed fourth.
d. Veer Abhimanyu is viewed third; Reshma aur Shera is viewed fourth and Jhansi ki Rani is viewed fifth.

My ans is option c

yup right

Six hundred students are made to stand in 20 by 30 rectangle, forming 20 similar rows of 30 students each. From each of the 30 columns the shortest student is selected, and the tallest of these 30 students is titled A. The students go back to stand in their original places. Next, the tallest student in each row is selected, and from these 20 students the shortest is titled B. Then


Choose one answer.
a. A is taller than B
b. B is taller than A
c. A and B are of the same height
d. A and B are always the same person

I think this can be solved using the saddle point concept of 2d arrays.
Answer shud be 'd'

Six hundred students are made to stand in 20 by 30 rectangle, forming 20 similar rows of 30 students each. From each of the 30 columns the shortest student is selected, and the tallest of these 30 students is titled A. The students go back to stand in their original places. Next, the tallest student in each row is selected, and from these 20 students the shortest is titled B. Then


Choose one answer.
a. A is taller than B
b. B is taller than A
c. A and B are of the same height
d. A and B are always the same person

---scrapped-----

15184


You wish to see all the six nautankis. Further, you wish to ensure that you get a lunch break from 12:30 p.m. to 1:30 p.m. Which of the following ways can you do this?


Choose one answer.
a. Sati-Savitri is viewed first; Sundar Kand is viewed third and Jhansi ki Rani is viewed last.
b. Sati-Savitri is viewed last; Veer Abhimanyu is viewed third and Reshma aur Shera is viewed first.
c. Sati-Savitri is viewed first; Sundar Kand is viewed third and Joru ka Ghulam is viewed fourth.
d. Veer Abhimanyu is viewed third; Reshma aur Shera is viewed fourth and Jhansi ki Rani is viewed fifth.

My ans is option c

Six hundred students are made to stand in 20 by 30 rectangle, forming 20 similar rows of 30 students each. From each of the 30 columns the shortest student is selected, and the tallest of these 30 students is titled A. The students go back to stand in their original places. Next, the tallest student in each row is selected, and from these 20 students the shortest is titled B. Then


Choose one answer.
a. A is taller than B
b. B is taller than A
c. A and B are of the same height
d. A and B are always the same person