Official Quant thread for CAT 2013

@ankita14 said:
Say you've already seated person A. Now it will matter whether you place person B next to him or on the equivalent seat in the opposite side. They are two distinct arrangements.
@vijay_chandola said:
Yar i have a doubt on it. when first person has already started, then for the second person 11 place left. One place is fixed. So, there is no symmetry left now. a1b1xxxxxxxxxx and a1xxxxxxxb2xxx both are different cases.
Stumped!!!
@jain4444 Sir bachao mujhe.. Ye log sahi bolre hai
@ScareCrow28 said:
Stumped!!! @jain4444 Sir bachao mujhe.. Ye log sahi bolre hai
bhai hum toh khud hee bachte hue ghum rahe hai

chalo sitter karo ke

a cloth merchant professes to sell cloth at 4%loss. But using a false meter he gains 20%. What is the actual length of the metr used by him...?...60 cm 70 cm 80 cm 110 cm
@jain4444 said:
leyo sood sir xat question From a group of 545 contenders, a party has to select a leader. Even after holding a series of meetings, the politicians and the general body failed to reach a consensus. It was then proposed that all 545 contenders be given a number from 1 to 545. Thenthey will be asked to stand on a podium in a circular arrangement, and counting would start from the contender numbered 1. The counting would be done in a clockwise fashion. The rule is that every alternate contender would be asked to step down as the counting continued, with the circle getting smaller and smaller, till only one person remains standing. Therefore the first person to be eliminated would bethe contender numbered 2.23. Which position should a contender choose if he has to be the leader? (5 marks)(1) 3 (2) 67 (3) 195 (4) 323 (5) 451
2) 67?
@jain4444 said:
leyo sood sir xat question From a group of 545 contenders, a party has to select a leader. Even after holding a series of meetings, the politicians and the general body failed to reach a consensus. It was then proposed that all 545 contenders be given a number from 1 to 545. Thenthey will be asked to stand on a podium in a circular arrangement, and counting would start from the contender numbered 1. The counting would be done in a clockwise fashion. The rule is that every alternate contender would be asked to step down as the counting continued, with the circle getting smaller and smaller, till only one person remains standing. Therefore the first person to be eliminated would bethe contender numbered 2.23. Which position should a contender choose if he has to be the leader? (5 marks)(1) 3 (2) 67 (3) 195 (4) 323 (5) 451
3??
@jain4444 said:
In how many ways can 12 people be arranged around a hexagonal table with successive sides being of length a metres, b metres, c metres, a metres, b metres and c metres respectively, if people can sit on chairs placed at corners and the centres of sides?1) 36 — 12!/2^62) 6! — 12!/2^63) 12!/2^64) None of these
12!/2 i think.
@jain4444 said:
bhai hum toh khud hee bachte hue ghum rahe hai chalo sitter karo ke a cloth merchant professes to sell cloth at 4%loss. But using a false meter he gains 20%. What is the actual length of the metr used by him...?...60 cm 70 cm 80 cm 110 cm


cp - 100
sp - 96

but he is actually selling - x

x*120/100=96
x=80


@jain4444 said:
leyo sood sir xat question From a group of 545 contenders, a party has to select a leader. Even after holding a series of meetings, the politicians and the general body failed to reach a consensus. It was then proposed that all 545 contenders be given a number from 1 to 545. Thenthey will be asked to stand on a podium in a circular arrangement, and counting would start from the contender numbered 1. The counting would be done in a clockwise fashion. The rule is that every alternate contender would be asked to step down as the counting continued, with the circle getting smaller and smaller, till only one person remains standing. Therefore the first person to be eliminated would bethe contender numbered 2.23. Which position should a contender choose if he has to be the leader? (5 marks)(1) 3 (2) 67 (3) 195 (4) 323 (5) 451
1..."3"
@jain4444 said:
bhai hum toh khud hee bachte hue ghum rahe hai chalo sitter karo ke a cloth merchant professes to sell cloth at 4%loss. But using a false meter he gains 20%. What is the actual length of the metr used by him...?...60 cm 70 cm 80 cm 110 cm
80 cm

96/120 = 0.8
@jain4444 said:
bhai hum toh khud hee bachte hue ghum rahe hai chalo sitter karo ke a cloth merchant professes to sell cloth at 4%loss. But using a false meter he gains 20%. What is the actual length of the metr used by him...?...60 cm 70 cm 80 cm 110 cm
let him gain x% by false metre scale

x-4 -x/25 = 20

we get x=25

for this metre scale = 80
@jain4444 said:
leyo sood sir xat question From a group of 545 contenders, a party has to select a leader. Even after holding a series of meetings, the politicians and the general body failed to reach a consensus. It was then proposed that all 545 contenders be given a number from 1 to 545. Thenthey will be asked to stand on a podium in a circular arrangement, and counting would start from the contender numbered 1. The counting would be done in a clockwise fashion. The rule is that every alternate contender would be asked to step down as the counting continued, with the circle getting smaller and smaller, till only one person remains standing. Therefore the first person to be eliminated would bethe contender numbered 2.23. Which position should a contender choose if he has to be the leader? (5 marks)(1) 3 (2) 67 (3) 195 (4) 323 (5) 451
67??

wasted like half an hour :embarrassed:.l'm Still not sure :O
@jain4444 said:
leyo sood sir xat question From a group of 545 contenders, a party has to select a leader. Even after holding a series of meetings, the politicians and the general body failed to reach a consensus. It was then proposed that all 545 contenders be given a number from 1 to 545. Thenthey will be asked to stand on a podium in a circular arrangement, and counting would start from the contender numbered 1. The counting would be done in a clockwise fashion. The rule is that every alternate contender would be asked to step down as the counting continued, with the circle getting smaller and smaller, till only one person remains standing. Therefore the first person to be eliminated would bethe contender numbered 2.23. Which position should a contender choose if he has to be the leader? (5 marks)(1) 3 (2) 67 (3) 195 (4) 323 (5) 451
(2) 67?

1,2,3,4,....,543,544,545
1,3,5,7,....,543,545_____________273
3,7,11,15,...,539,543___________136
3,11,19,....,531,539____________68
3,19,35,....,515,531____________34
3,35,67,....,483,515____________17
3,67,131,...,451,515___________8
67,195,323,451______________4
67,323_____________________2
67________________________1

@jain4444 said:
In how many ways can 12 people be arranged around a hexagonal table with successive sides being of length a metres, b metres, c metres, a metres, b metres and c metres respectively, if people can sit on chairs placed at corners and the centres of sides?1) 36 — 12!/2^62) 6! — 12!/2^63) 12!/2^64) None of these
Select 6 and arrange them on each vertex 12P6/6
Put remaining into a or b or c 6!/2!*2!*2!
Total 12!/2^4*3 ?
@jain4444 said:
bhai hum toh khud hee bachte hue ghum rahe hai chalo sitter karo ke a cloth merchant professes to sell cloth at 4%loss. But using a false meter he gains 20%. What is the actual length of the metr used by him...?...60 cm 70 cm 80 cm 110 cm
MP=100, Sp=96, (96-x)/x=.2 x=80?
@jain4444 said:
bhai hum toh khud hee bachte hue ghum rahe hai chalo sitter karo ke a cloth merchant professes to sell cloth at 4%loss. But using a false meter he gains 20%. What is the actual length of the metr used by him...?...60 cm 70 cm 80 cm 110 cm
80 cm?

Cost of 100cm = 100
CP = Cost of x cm = x
Profit = 20%
SP = 96
CP = 96/1.2 = 80
So x = 80 cm
@jain4444 said:
bhai hum toh khud hee bachte hue ghum rahe hai chalo sitter karo ke a cloth merchant professes to sell cloth at 4%loss. But using a false meter he gains 20%. What is the actual length of the metr used by him...?...60 cm 70 cm 80 cm 110 cm
96/1.2=8
so, 80 cm
The following probability distribution can be used to represent the waiting time of the customer in a bank (w):
f(w)= 1/(b-a) for a ‰¤ w ‰¤ b = 0 otherwise
What will be the expected waiting time E (w) of the customer in the bank ?


@19rsb said:
The following probability distribution can be used to represent the waiting time of the customer in a bank (w):f(w)= 1/(b-a) for a ‰¤ w ‰¤ b = 0 otherwiseWhat will be the expected waiting time E (w) of the customer in the bank ?
1?
@19rsb said:
The following probability distribution can be used to represent the waiting time of the customer in a bank (w):f(w)= 1/(b-a) for a ‰¤ w ‰¤ b = 0 otherwiseWhat will be the expected waiting time E (w) of the customer in the bank ?
Expected value of a continuous random variable E(x) with probability distribution function f(x) is given by
E(x) = Integration x*f(x)dx

So, E(w) = Integration 1/(b-a) * w dw = (b^2-a^2)/2(b-a) (limits -infinity to +infinity)

Hence E(w) = (b+a)/2 ....
@19rsb said:
The following probability distribution can be used to represent the waiting time of the customer in a bank (w):f(w)= 1/(b-a) for a ‰¤ w ‰¤ b = 0 otherwiseWhat will be the expected waiting time E (w) of the customer in the bank ?
Expected waiting time=Integrtatelower limit=a, upper limit b f(w)
=w^2/2(b-a)
=b^2-a^2/2(b-a)=(a+b)/2
Help taken http://www.wyzant.com/Help/Math/Statistics_and_Probability/Expected_Value/