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official quant thread for CAT 2009
Quantitative Questions and Answers Discuss Quantitative and other Math related questions. Post your math doubts and get it solved by the smartest brains this side of the universe !

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MaskedMenace MaskedMenace is offline
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Re: official quant thread for CAT 2009 - 03-07-2009, 07:21 PM

Quote:
Originally Posted by ankur123xyz View Post
if |x-4| + |y+4| =4 .how many integer values can the set (x,y) have?
a.infinite
b.5
c.16
d.9
e.25
Number of integral values is the area inside it.

|x| + |y| = 4 => area is 16 units.
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Re: official quant thread for CAT 2009 - 03-07-2009, 07:25 PM

Quote:
Originally Posted by MaskedMenace View Post
Number of integral values is the area inside it.

|x| + |y| = 4 => area is 16 units.
Hey, Masked,

Is there any specific deductions/logic behind your conclusion ? Pls elaborate

Regards
Soham


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Re: official quant thread for CAT 2009 - 03-07-2009, 07:32 PM

masked ,soham mera bhi doubt kar do..its n d previous page plss..doubt clear kardo


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Re: official quant thread for CAT 2009 - 03-07-2009, 07:33 PM

Quote:
Originally Posted by MaskedMenace View Post
a^n + b^n can be written as (a+b)*(ba^n-1 + ...)

write each of the terms as a^3 + b^3 = (a+b)(a^2 - ab + b^2)

17^3 + 19^3 = 17+19 = 36 divisible by 36 => R is 0

23^3 + 25^3 + 29^3 + 31^3 = 36 +36 => R is 0

35^3 + 37^3 + 41^3+43^3 + 47^3 + 49^3 = 72 + 84 + 96 => R is 0

For 2 terms remainder is 0, for four terms remainder is 0,for six terms remainder is 0,for 8terms remainder is 0,for 10terms remainder is 0 and so on ..
sorry if i'm disturbing . i actually didnt get this step
23^3 + 25^3 + 29^3 + 31^3 = 36 +36 => R is 0
pls help


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Re: official quant thread for CAT 2009 - 03-07-2009, 07:34 PM

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Originally Posted by MaskedMenace View Post
Number of integral values is the area inside it.

|x| + |y| = 4 => area is 16 units.

And one more thing.... had the equation been... |X + 4| + |Y + 4| = 4, then u cud have taken, shifting of origin funda... but here it's |X - 4| + |Y + 4| = 4


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Re: official quant thread for CAT 2009 - 03-07-2009, 07:43 PM

Quote:
Originally Posted by dipsleo88 View Post
There r 5 blue socks, 4 red socks and 3 green socks,in debu's wardrobe. he has to select 4 socks from this set. in how many ways can he do so??

the ans is 12C4.

now comin to my doubt,

in how many ways can a selection be made of 5 letters out of 5A,4B,3C,2D,1E??

y cant i write the ans as 15C5???

please xplain..is it something related to identical things and all?? pls clear my doubt.
it is 15c5, there are no conditions hence pick any 5 from 15.

I guess selection is made and with replacement,check that.
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Re: official quant thread for CAT 2009 - 03-07-2009, 07:51 PM

Quote:
Originally Posted by anoopkumars View Post
sorry if i'm disturbing . i actually didnt get this step
23^3 + 25^3 + 29^3 + 31^3 = 36 +36 => R is 0
pls help
23^3 + 25^3 = 48*(25^2 -25*23 + 23^2) mod 36 = 12*(3k) mod 36 = 0

29^3+31^3 = 60*(29^2 - 29*31 + 31^2) mod 36 = 24*(3k) mod 36 = 0
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Re: official quant thread for CAT 2009 - 03-07-2009, 08:30 PM

Quote:
Originally Posted by MaskedMenace View Post
it is 15c5, there are no conditions hence pick any 5 from 15.

I guess selection is made and with replacement,check that.
i don't understand how come in the socks question you are getting 12C4?
green socks , even though they may be belonging to any pair , are identical in nature. While your approach takes them as an independant entity.
Can you please explain your approach for the socks question?
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Re: official quant thread for CAT 2009 - 03-07-2009, 08:58 PM

[QUOTE=kinscool;1584718]
Quote:
Originally Posted by pari16 View Post
Yup...but clock questions are based normally on the analog clocks.
So i think it should be 1 a.m. on Wednesday.

If it were digital, the clock would have to lose 24 hrs and hence it would show the correct time after 144 hrs i.e. 6 days = Saturday 1 a.m.[/QUOTE]
why is that?
10 mins are lost each hour.........24 hours would be lost in 24*60/10=144 hours........144 hours means 6 days.........So the actual time is 1 am Saturday but the clock shows 1 am Friday......
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Re: official quant thread for CAT 2009 - 03-07-2009, 09:03 PM

which material to refer for no. system? I guess it has a lot of weightage in CAT


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