official quant thread for cat08

[yudhajeet]

"Dravid and Sachin each had a certain number of playing marbles. Dravid lost a game to Sachin and had to give Sachin half of his marbles. In the second game, Sachin lost and had to give three-fourths of his marbles to Dravid, who now had thirty marbles. Finally, the two played a third game. Sachin won and acquired some of Dravid?s marbles.At this point, each boy had exactly the number of marbles he had started with, and Dravid had twice as many marbles as Sachin. How many marbles did Sachin has in the beginning?"

Give 24 hrs before posting your answrs to this q..

[Cute.Sid]

In starting ,
Sachin had 12 and Dravid had 24 marbles.

[convivial]

Originally Posted by Cute.Sid

Can u please explain how the answer is 1.
Thanks

sorry 4 the late reply.....

mod(x+1)/mod(x)+mod(x+1)=mod(x+1)^2/mod(x)
mod(x+1){1/mod(x)+1-mod(x+1)/mod(x)}=0
so,mod(x+1)=0
or 1+mod(x)-mod(x+1)=0
mod(x+1)=0 if x=-1
if x<-1,1+mod(x)-mod(x+1)=0
1-x+x+1=0
2=0....not possible

if -1<=x<0,1-x-(x+1)=0....not possible

if x>=0,1+x-(x+1)=0
x can have any value in the interval

so,x=-1,x>0(since x is not equal to 0)

no. of negative integers is 1

[convivial]

Originally Posted by yudhajeet

"Dravid and Sachin each had a certain number of playing marbles. Dravid lost a game to Sachin and had to give Sachin half of his marbles. In the second game, Sachin lost and had to give three-fourths of his marbles to Dravid, who now had thirty marbles. Finally, the two played a third game. Sachin won and acquired some of Dravid?s marbles.At this point, each boy had exactly the number of marbles he had started with, and Dravid had twice as many marbles as Sachin. How many marbles did Sachin has in the beginning?"

Give 24 hrs before posting your answrs to this q..

sachin has 12 marbles

[Dream08]

Originally Posted by convivial

sorry 4 the late reply.....

mod(x+1)/mod(x)+mod(x+1)=mod(x+1)^2/mod(x)
mod(x+1){1/mod(x)+1-mod(x+1)/mod(x)}=0
so,mod(x+1)=0
or 1+mod(x)-mod(x+1)=0
mod(x+1)=0 if x=-1
if x<-1,1+mod(x)-mod(x+1)=0
1-x+x+1=0
2=0....not possible

if -1<=x<0,1-x-(x+1)=0....not possible

if x>=0,1+x-(x+1)=0
x can have any value in the interval

so,x=-1,x>0(since x is not equal to 0)

no. of negative integers is 1

Hi, the question you posted had a small mistake. You should have posted mod((x + 1)/x) .... instead you posted mod(x+1/x) and thus no answer matched.

[convivial]

Originally Posted by Dream08

Hi, the question you posted had a small mistake. You should have posted mod((x + 1)/x) .... instead you posted mod(x+1/x) and thus no answer matched.

hi

just checked wat u said.....thanx.....will be careful next time.....u know difficulties in typing quants on system.....anyway thanx....i request u 2 come up with some good ques and fundas which cud be helpful 2 all of us

keep rockin....

[rmbt]

Well there are already loads of thread running on quant and related topics, but if this thread has to retain its name as official quant thread, you have to follow guidelines similar to the CAT 07 quant thread,else this will be closed soon.

Hence, ideally the puy who started this thread, should take up the responsibility to do the same.

[bubai376]

Originally Posted by yudhajeet

"Dravid and Sachin each had a certain number of playing marbles. Dravid lost a game to Sachin and had to give Sachin half of his marbles. In the second game, Sachin lost and had to give three-fourths of his marbles to Dravid, who now had thirty marbles. Finally, the two played a third game. Sachin won and acquired some of Dravid?s marbles.At this point, each boy had exactly the number of marbles he had started with, and Dravid had twice as many marbles as Sachin. How many marbles did Sachin has in the beginning?"

Give 24 hrs before posting your answrs to this q..

sachin has 12 marbles in the beginning!!!

[convivial]

Originally Posted by yudhajeet

"Dravid and Sachin each had a certain number of playing marbles. Dravid lost a game to Sachin and had to give Sachin half of his marbles. In the second game, Sachin lost and had to give three-fourths of his marbles to Dravid, who now had thirty marbles. Finally, the two played a third game. Sachin won and acquired some of Dravid?s marbles.At this point, each boy had exactly the number of marbles he had started with, and Dravid had twice as many marbles as Sachin. How many marbles did Sachin has in the beginning?"

Give 24 hrs before posting your answrs to this q..

hello bhaisaab....plz tell the answer

[yudhajeet]

Originally Posted by convivial

hello bhaisaab....plz tell the answer

Oops.....sorry for the late reply guys...was outta town..
yeah..12 is the right answer..