Official Quant thread for CAT 2013

@rachit_28 59.6 aaj hi ho gaya tha ye
@rachit_28 said:
Two guns are fired from the same place at an interval of 10.5 mins but a person in the shatabdi express approaching the place hears the second shot 10mins after the first. the speed of the shatabdi express in kmph if the speed of sound is 330m/s is?a)59.6kmph b)45.1kmph c)120.35kmph d)none of these e)cannot be determined
59.6
@mailtoankit said:
59.6
kaise ?
@rachit_28 said:
Two guns are fired from the same place at an interval of 10.5 mins but a person in the shatabdi express approaching the place hears the second shot 10mins after the first. the speed of the shatabdi express in kmph if the speed of sound is 330m/s is?a)59.6kmph b)45.1kmph c)120.35kmph d)none of these e)cannot be determined
330x30/600

=> 33/2X18/5=> 59.4 ?
@rachit_28 said:
Two guns are fired from the same place at an interval of 10.5 mins but a person in the shatabdi express approaching the place hears the second shot 10mins after the first. the speed of the shatabdi express in kmph if the speed of sound is 330m/s is?a)59.6kmph b)45.1kmph c)120.35kmph d)none of these e)cannot be determined
The two sounds are separated by a distance of 330*(10.5*60) metres

This distance is covered in 10*60 seconds by that person
=> (Relative Velocity)*(10*60) = 330*(10.5*60) => Rel Velo = 346.5 m/s

-> 330 + v = 346.5 => v = 16.5 m/s OR 59.4 kmph approx
@rachit_28 said:
kaise ?
speed of sound/speed of the train=time utilized/time saved
330/x=10/0.5=59.6
ps-conversion nahi likha maine
@audiq7 said:
frm a set of 3 capital and 5 small consonants and 4 small vowels, how many wrds can be formed each starting with a capital consonant and containing 3 small consonants and two small vowels?
3c1*5c3*4c2*5! ?

Can any one explain 5th question posted by @gs4890 on http://www.pagalguy.com/posts/4064461

@rachit_28 said:
Can any one explain 5th question posted by @gs4890 on www.pagalguy.com/forums/quanti...
P(E) = 1/8*1/6

P(S) = 1/8*1/6 + 7/8*5/6

P(E)/P(S) = 1/36
@gs4890 said:
P(E) = 1/8*1/6P(S) = 1/8*1/6 + 7/8*5/6P(E)/P(S) = 1/36
bhai only one doubt, in 7/8*5/6 kyu?
total mein ye aani chaiye na
Shark dekhni ki probability + no shark dekne ki probability.
To yeh 7/8*1/6 nhi hona chahiye ?
Thanks:)
@rachit_28 said:
bhai only one doubt, in 7/8*5/6 kyu?total mein ye aani chaiye na Shark dekhni ki probability + no shark dekne ki probability.To yeh 7/8*1/6 nhi hona chahiye ?Thanks
p(he actually saw the shark and told the truth) = 1/8*1/6
p(he didn't see the shark and told a lie) = 7/8*5/6

p(he observed the shark) = 1/48/(1/48+35/48)=1/36
@rachit_28 said:
Two guns are fired from the same place at an interval of 10.5 mins but a person in the shatabdi express approaching the place hears the second shot 10mins after the first. the speed of the shatabdi express in kmph if the speed of sound is 330m/s is?a)59.6kmph b)45.1kmph c)120.35kmph d)none of these e)cannot be determined
Distance traveled by sound in 10.5 min = 10.5*60*330 m

Now the same distance is traveled in 10 min at (330+x)m/s

==> 330+x=10.5*60*330/(60*10)
==> x=346.5-330
==> x=16.5 m/s
==> x=59.4 km/h
@audiq7 said:
in an exam, max marks for 3 papers are 50 each. max marks for 4th paper is 100. find the no.of ways with which a student can score 60% marks in aggregate?


total marks = 150
a+b+c+d=150
=> 153c3

case when a>=51
a'+b+c+d=99
=>102c3

this will include cases when b,c>=51
=>b+c+d=>b+c+d+e=99
=>b'+c+d+e=48
=>51c3

similarly for b,c

case when d>=101
a+b+c+d'=49
=>52c3

153c3-3(102c3-2*51c3)-52c3
=>585276-3*(171700-20825)-22100
=>110551
@amresh_maverick bhai plzz explain,hw did u get sq eqn???

@Ashmukh said:
@amresh_maverick bhai plzz explain,hw did u get sq eqn???
i think it would help him to ans if u quote the eqn 😃
solve...


@Brooklyn bhai vo photo insert krne vala option abb nahi hai kya..?? attach hi dikh ra hai abb toh...
@antodaya said:
solve...@Brooklyn bhai vo photo insert krne vala option abb nahi hai kya..?? attach hi dikhra hai abb toh...
12 3/7

@antodaya : nop now it gets attached

12 3/7


Shaded region is a rhombus. Let each side be 7-x

(7-x)² = x² + 3²

x = 20/7

Area = 1/2 * sum of parallel sides * ht


@antodaya said:
solve...@Brooklyn bhai vo photo insert krne vala option abb nahi hai kya..?? attach hi dikhra hai abb toh...
@antodaya getting 87/7