Official Quant thread for CAT 2013

@krum said:
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
Just a thought........ CAT examiners can always say, use your brain....Odd numbers of people cant be divided into two half groups.... So, the answer is none of these.
@maddy2807 said:
Complete the series: 0, 8, 54, 192, 500, ?
1^3*0
2^3*1
3^3*2 and so on...

Last term will be 6^3*5 = 1080
@smile.star11 n^3*(n-1)
@Shray14 said:
Yes bro
it goes like this. at every point no of cyclist remains is 3x/5
so u can calculate it as 3125.
But my small doubt is how ti divide it by 2
@audiq7 said:
@smile.star11 n^3*(n-1)
got it! 😃 thnx..
@maddy2807 said:
Complete the series: 0, 8, 54, 192, 500, ?
1080??
n^3(n-1)
@smile.star11 said:
wat is d pattern???
1080

1^3*0
2^3*1
3^3*2
...
Complete the series: 12, 36, 80, 150, ?


@maddy2807 said:
Complete the series: 12, 36, 80, 150, ?
n^3+n^2
252
@maddy2807 252
@maddy2807 said:
Complete the series: 12, 36, 80, 150, ?
252?
Anita, who is unmarried, is Ram's only sister's father's father's only daughter-in-law's only daughter-in-law's husband's sister. How is Anita related to Ram?



@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.
initial - 4x, 5x

let rate of evaporation of milk be y / min
water - 3/2y / min

after 90/7 min

(4x-90/7y)/(5x-3/2*90/7y)=5/4
=>(28x-90y)/(35x-135y)=5/4
=>112x-360y=175x-675y
=>315y=63x
=>y=1/5x

for 50:50 ratio

say he has to boil for z minutes
=>4x-1/5x*z=5x-3/2*1/5x*z
=>z=10

so extra = 90/7-10=20/7 min


The lengths of the hour hand and the minute hand of a clock are 3.5 cm and 5.25 cm respectively. If the hour hand covers an area of 7.7 cm2, then find the approximate area (in cm2) covered by the minute hand during the same time period.

(a) 17
(b) 158
(c) 260
(d) 208

Please explain with approach
@maddy2807 said:
Complete the series: 12, 36, 80, 150, ?
252..?
@maddy2807 sister of ram?
@maddy2807 said:
Anita, who is unmarried, is Ram's only sister's father's father's only daughter-in-law's only daughter-in-law's husband's sister. How is Anita related to Ram?
Sister??
@maddy2807 said:
Anita, who is unmarried, is Ram's only sister's father's father's only daughter-in-law's only daughter-in-law's husband's sister. How is Anita related to Ram?


EDITED
sister..
@maddy2807 said:
Anita, who is unmarried, is Ram's only sister's father's father's only daughter-in-law's only daughter-in-law's husband's sister. How is Anita related to Ram?
sister
@krum bhai unmarried hai