Official Quant thread for CAT 2013

@joyjitpal said:
The four numbers a
4!!
@joyjitpal said:
In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 15 people?
((15c4)*2)*(3^11)?
@joyjitpal said:
In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 15 people?
15 *14*13C4?? its quite awkward soln:(
@joyjitpal said:
In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 15 people?
15*14*16c4 = 382200 ??

not sure...
@saurabhlumarrai said:
Two cars starting from the same point at the same time run in opposite direction along a circular track,64 meter in circumference.Speed of Car1 doubles and Car 2 halves every time they meet.If 16 mpm and 32 mpm are the speed of the cars,what will be the distance travelled by each when they meet for the fiifth time?a)258.13 m and 61.87mb)263.55m and 56.45mc)271.18m and 48.82md)246.45m and 73.55m
d?
@joyjitpal said:
In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 15 people?
ans please if you have::)
@Logrhythm said:
15*14*16c4 = 382200 ?? not sure...
OA 15x14x13C4

@viewpt
@joyjitpal said:
OA 15x14x13C4
ahh yes, it should be 13c4
@iLoveTorres correct answer.approach please...
@joyjitpal said:
OA 15x14x13C4@viewpt
do minutes ke liye toh ghuma hi diya tha ..kya flipper/china mine daltey ho bhai.
@saurabhlumarrai said:
@iLoveTorres correct answer.approach please...
look when they are travelling in opposite direction they will together cover the distance in the ratio of the speed
during the 1st round they will cover the distance in the ratio 1:2
2nd round 2:1
3rd round 8:1
4th round 32:1
5th round 128:1.. clearly in the first two rounds the second person will cover d*(1/3+2/3) = d = 64.
this is just for two rounds so obviously second person will cover more than this.. from the options only D satisfies this. Hence D
@iLoveTorres said:
look when they are travelling in opposite direction they will together cover the distance in the ratio of the speedduring the 1st round they will cover the distance in the ratio 1:22nd round 2:13rd round 8:14th round 32:15th round 128:1.. clearly in the first two rounds the second person will cover d*(1/3+2/3) = d = 64. this is just for two rounds so obviously second person will cover more than this.. from the options only D satisfies this. Hence D
Awesome option elimination approach... :)
@saurabhlumarrai said:
Awesome option elimination approach...
thanks even if the answers wer close enough then for
3rd round 64/9~=7
4th round 64/33~=2
5th round 64/128~=.5 ==> 3rd+4th+5th = 9.5+64=73.5
hence you can mark the answer even if it is close 😃
@iLoveTorres said:
look when they are travelling in opposite direction they will together cover the distance in the ratio of the speedduring the 1st round they will cover the distance in the ratio 1:22nd round 2:13rd round 8:14th round 32:15th round 128:1.. clearly in the first two rounds the second person will cover d*(1/3+2/3) = d = 64. this is just for two rounds so obviously second person will cover more than this.. from the options only D satisfies this. Hence D
bhai i have a query here

time is constant here

so we can say

they are travelling in opposite direction they will together cover the distance in the ratio of the speed
isnt it?

+ve integers x, y & n are each less dan 20 .
If x^2 - y^2 = n .
Find the median of all possible values for the sum x + y + n.
18,24,12,20, 9

@ChirpiBird said:
@scrabbler do correct if the method is wrong.
Seems good. I did something different, took a line from D parallel to BE.....and somehow got that AC is divided into 3 equal parts...

regards
scrabbler

A triangle has sides 7, 10, n.
What value of n would make the area of triangle as big as possible?
13.21
14.21
12.21
9.21
15.21

@The_Loser said:
A triangle has sides 7, 10, n.What value of n would make the area of triangle as big as possible?13.2114.2112.219.2115.21
12.21 - when right angled

regards
scrabbler

@The_Loser 12.21?

found max value of sqrt(s*(s-a)*(s-b)*(s-c))..

@scrabbler said:
12.21 - when right angledregardsscrabbler
why when right angled.?