Official Quant thread for CAT 2013

On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 243 cyclists reached Churchgate. How many cyclists started from Borivali?
1)3125
2)1875
3)2225
4)2875
5)None of these

Bhai logo logic thoda vistar se samjha do..
@soham2208 said:
@nick_baba (Is it 3 ?)2x - 3/4 >0 => x>3/8 and (x not equal to 1)Assuming the base of the logarithm to be 10,Case 1: log(x)> 0 => x > 12x-3/4 > x^2 => 4x^2 - 8x + 3 (2x-3)(2x -1) => x > 1/2 and x less than 3/2x = p/5 , p is an integer=> p > 5/2 and less than 15/2 => p = 6,7Case 2: log(x) x (2x - 3/4) x less than 1/2 => p p = 2p = 2,6,7 ?
I didn't change the sign!! I suppose youo are right.. It should be 3 values..
@soham2208 said:
@nick_baba (Is it 3 ?)2x - 3/4 >0 => x>3/8 and (x not equal to 1)Assuming the base of the logarithm to be 10,Case 1: log(x)> 0 => x > 12x-3/4 > x^2 => 4x^2 - 8x + 3 (2x-3)(2x -1) => x > 1/2 and x less than 3/2x = p/5 , p is an integer=> p > 5/2 and less than 15/2 => p = 6,7Case 2: log(x) x (2x - 3/4) x less than 1/2 => p p = 2p = 2,6,7 ?
bullz eye....@deedeedudu @ScareCrow28 ...le aya bhai chora ans....ye hai OA...3
@nick_baba said:
A milkman had a mixture of milk and water with him. The ratio of milk to water is 4:5. The milkman then boils the mixture so as to achieve a concentration of 50%. But, since he was distracted by the world cup finals being telecast live on T.V., he boiled the milk and realized that the initial ratio of milk to water has been reversed.If, by then he has boiled the milk for exactly 90/7 minutes, find the extra time(in mins) for which the milk has boiled, given that the rate of evaporation of water is 50% more than that of milk.
20/7min?????
@nick_baba Ya I was doing a rookie mistake of not changing the sign while multiplying with negative log(x) 😐 ..:splat:
@19rsb said:
20/7min?????
badiya bhai...
@Shray14 said:
On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 243 cyclists reached Churchgate. How many cyclists started from Borivali?1)31252)18753)22254)28755)None of theseBhai logo logic thoda vistar se samjha do..
yaar ek baat batao...options even nai hone chaiye....coz at "At the Malad junction, half of these cyclists entered Malad " isko odd number kaise justify karega???
@Shray14 said:
On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 243 cyclists reached Churchgate. How many cyclists started from Borivali?1)31252)18753)22254)28755)None of theseBhai logo logic thoda vistar se samjha do..
x*(3/5)^5=243
=>x=3125


@krum said:
x*(3/5)^5=243=>x=3125
kaise kiya??
@Shray14 said:
kaise kiya??
total - x
at each junction - x/2+x/2*1/5=x/2+x/10=3/5x cyclists go for Churchgate
total junctions = 5
so at 5th junction x*(3/5)^5 are left which is given as 243
@krum said:
x*(3/5)^5=243=>x=3125Although the answer is correct, how will u justify an odd number as the solution. It clearly asks "half entered Malad".
@krum said:
x*(3/5)^5=243=>x=3125
Although the answer is correct, how will u justify an odd number as the solution. It clearly asks "half entered Malad".
@ankittripathi said:
Although the answer is correct, how will u justify an odd number as the solution. It clearly asks "half entered Malad".
language is confusing , but it says half + fifth of remaining which adds upto 3/5, rest is just a matter of perception,
say they separated at malad, a guy split in half, in next second half of him joins him again, so y bother with that second
Complete the series: 0, 8, 54, 192, 500, ?
@Shray14 said:
On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 243 cyclists reached Churchgate. How many cyclists started from Borivali?1)31252)18753)22254)28755)None of theseBhai logo logic thoda vistar se samjha do..
3125..option se ho jaayega
@maddy2807 1080
@Shray14 said:
On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 243 cyclists reached Churchgate. How many cyclists started from Borivali?1)31252)18753)22254)28755)None of theseBhai logo logic thoda vistar se samjha do..
3125?
@audiq7 said:
@maddy2807 1080
wat is d pattern???
@maddy2807 said:
Complete the series: 0, 8, 54, 192, 500, ?
6^3 x 5 = 1080 ..
@maddy2807 said:
3125?
Yes bro