Official Quant thread for CAT 2013

@Zedai said:
see, the logic here is the last person will either get his own ipod or the ipod of the last person.the probability of the picking the ipod of the 1st person is equal to the prob of picking the ipod of the last personhere's how:if you think over the arrangement closely enough, you will observe that whenever a person picks up the ipod of the 1st person... thereafter everyone gets their own ipod... if the 1st person gets his ipod , everyone will get their ipod.and if he misses his ipod, the rest of the people will get their ipod only from the time a person picks up the ipod of the 1st person.So, the last person gets his own ipod or the ipod of the 1st person.therefore prob: 1/2
Just becoz the last person has to get one of the two options, how is it that the probability of getting either one of them wud be 1/2 ? ?
Six athletes €“ Andrew, Brian, Jose,Mark, Phil and Sam €“ are assigned for stay in four rooms numbered
101 to 104 during the Inter Indoor Games Tournament. Two of the rooms are double and the remaining
single rooms. Brian is assigned an even numbered room which he shares with the Swimmer. Room
number 103 is to be occupied by the Badminton player only. The room numbers of Andrew and Jose, who
is neither a Badminton player nor a Squash player, are distinct and their sum is equal to twice the room
number of the Hockey player. Phil, who prefers not to share his room, plays either Basketball or Squash.
Sam is a national level Table Tennis player.
7. Identify the correct combination of athlete, sport and room number from the following.
A. Jose, Hockey, 101 B. Phil, Squash, 104
C. Brian, Swimming, 102 D. None of the above
8. Who is the Swimmer?
A. Mark B. Brian C. Jose D. None of the above
@sujamait
7)b)phil-squash-104
8)a)mark

are these correct....?

would u plz be able to share the source??

@sujamait said:
Six athletes €“ Andrew, Brian, Jose,Mark, Phil and Sam €“ are assigned for stay in four rooms numbered101 to 104 during the Inter Indoor Games Tournament. Two of the rooms are double and the remainingsingle rooms. Brian is assigned an even numbered room which he shares with the Swimmer. Roomnumber 103 is to be occupied by the Badminton player only. The room numbers of Andrew and Jose, whois neither a Badminton player nor a Squash player, are distinct and their sum is equal to twice the roomnumber of the Hockey player. Phil, who prefers not to share his room, plays either Basketball or Squash.Sam is a national level Table Tennis player.7. Identify the correct combination of athlete, sport and room number from the



101 - Table tennis - Sam / Basketball - Jose
102 - Hockey - Brian / Swimmer - Mark
103 - Badminton - Andrew
104 - Squash - Phil


@sujamait said:

7. Identify the correct combination of athlete, sport and room number from the following.A. Jose, Hockey, 101 B. Phil, Squash, 104C. Brian, Swimming, 102 D. None of the above8. Who is the Swimmer?A. Mark B. Brian C. Jose D. None of the above
101- Sam-TT; Jose-BB
102-Brian-Hockey; Mark-swimmer
103-Andrew-Badminton
104-Phil-Squash
@sujamait 7) b

8) a
Bilkul exam like question 😃 :drink:
@sujamait said:
Six athletes €“ Andrew, Brian, Jose,Mark, Phil and Sam €“ are assigned for stay in four rooms numbered101 to 104 during the Inter Indoor Games Tournament. Two of the rooms are double and the remainingsingle rooms. Brian is assigned an even numbered room which he shares with the Swimmer. Roomnumber 103 is to be occupied by the Badminton player only. The room numbers of Andrew and Jose, whois neither a Badminton player nor a Squash player, are distinct and their sum is equal to twice the roomnumber of the Hockey player. Phil, who prefers not to share his room, plays either Basketball or Squash.Sam is a national level Table Tennis player.7. Identify the correct combination of athlete, sport and room number from the following.A. Jose, Hockey, 101 B. Phil, Squash, 104C. Brian, Swimming, 102 D. None of the above8. Who is the Swimmer?A. Mark B. Brian C. Jose D. None of the above
7)b.
8)a.
@culdip said:
101 - Table tennis - Sam / Basketball - Jose102 - Hockey - Brian / Swimmer - Mark103 - Badminton - Andrew104 - Squash - Phil
@Hypertexter said:
101- Sam-TT; Jose-BB102-Brian-Hockey; Mark-swimmer103-Andrew-Badminton104-Phil-Squash
@mailtoankit said:
7)b.8)a.
@rachit_28 said:
@sujamait 7) b8) a Bilkul exam like question

tabhi sabne attempt kiya hai :P
@shadowwarrior said:@sujamait7)b)phil-squash-1048)a)markare these correct....?would u plz be able to share the source??


bhai source I dont know..someone mailed it to me..so I shared it.

I got
B
A
I guess,we all are on the same page.
@sujamait said:
tabhi sabne attempt kiya hai @shadowwarrior said:@sujamait7)b)phil-squash-1048)a)markare these correct....?would u plz be able to share the source??bhai source I dont know..someone mailed it to me..so I shared it.I gotBAI guess,we all are on the same page.
Bhai mujhe mail karo do LR ke, meri bahot weak hai ..PM karta hu id ..
Q. There were 90 questions in an exam. If one mark was awarded for every correct answer and 1/3rd deducted for every wrong answer, how many different net scores were possible in the exam?
A. 120
B. 358
C. 359
D. 360
ďťż
S=(1x997) + (2x996) + (3x995) + (4x994) +.............+(996x2) + (997x1)
S=997 x 499 x A, then what is the sum of the digits of A?
@Hypertexter said:
Q. There were 90 questions in an exam. If one mark was awarded for every correct answer and 1/3rd deducted for every wrong answer, how many different net scores were possible in the exam?A. 120 B. 358C. 359D. 360
358?
@19rsb said:
S=(1x997) + (2x996) + (3x995) + (4x994) +.............+(996x2) + (997x1)S=997 x 499 x A, then what is the sum of the digits of A?
nth term = n*(998-n) = 998n - n^2
here n = 997

sum = 998*(997*998/2) - 997*998*1995/6

=> 997*499*(998 - 665) = 997*499*333

A = 333

sum of digits = 9
@krum
yes 400 is right answer


@IIM-A2013
thankyou

@19rsb Right answer
@sujamait said:
Six athletes €“ Andrew, Brian, Jose,Mark, Phil and Sam €“ are assigned for stay in four rooms numbered101 to 104 during the Inter Indoor Games Tournament. Two of the rooms are double and the remainingsingle rooms. Brian is assigned an even numbered room which he shares with the Swimmer. Roomnumber 103 is to be occupied by the Badminton player only. The room numbers of Andrew and Jose, whois neither a Badminton player nor a Squash player, are distinct and their sum is equal to twice the roomnumber of the Hockey player. Phil, who prefers not to share his room, plays either Basketball or Squash.Sam is a national level Table Tennis player.7. Identify the correct combination of athlete, sport and room number from the following.A. Jose, Hockey, 101 B. Phil, Squash, 104C. Brian, Swimming, 102 D. None of the above8. Who is the Swimmer?A. Mark B. Brian C. Jose D. None of the above
7-B
8->A
@Hypertexter said:
Q. There were 90 questions in an exam. If one mark was awarded for every correct answer and 1/3rd deducted for every wrong answer, how many different net scores were possible in the exam?A. 120 B. 358C. 359D. 360
270+1+90-3
=358
@deedeedudu
correct
@mailtoankit
right