Official Quant thread for CAT 2013

MBA CAT 2024
28088
ABCD is a quadrilateral with integral sides and perimeter of 36 cm . How many different quadrilaterals ABCD can be formed?
@Asfakul said:
@grkkrg@Subhashdec2 please take a look
Sides can not be more than 17 (as if a side is 18, then sum of remaining three sides will also be 18 which is not possible). Suppose sides are 17 - a, 17 - b, 17 - c, 17 - d

So, (17 - a) + (17 - b) + (17 - c) + (17 - d) = 36
=> a + b + c + d = 32
So, C(35, 3) = 9139 such quadrilaterals
28089
28090

sorry for spamming


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and
Buffettology by warren Buffet

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28091
@Subhashdec2 said:
sorry for spammingis there any thread where i can find links to ebooksi need to ebooks urgentlySelling the wheel by jeff coxand Buffettology by warren Buffet@albiesriram@ChirpiBird@Asfakul@ScareCrow28@iLoveTorres@Faruq@Logrhythm@vbhvgupta@amresh_maverick@saurav205
I can see the book buffettology in Torrent
28092
@Subhashdec2 I dont think there'll be any such thread on PG since buying/selling is not aklowed here!
28093
@chillfactor said:
ABCD is a quadrilateral with integral sides and perimeter of 36 cm . How many different quadrilaterals ABCD can be formed?Sides can not be more than 17 (as if a side is 18, then sum of remaining three sides will also be 18 which is not possible). Suppose sides are 17 - a, 17 - b, 17 - c, 17 - dSo, (17 - a) + (17 - b) + (17 - c) + (17 - d) = 36=> a + b + c + d = 32So, C(35, 3) = 9139 such quadrilaterals
thank you sir . but should we not consider 1,2,3,4 and 4,2,3,1 as one ??
28094
@albiesriram Is this CL Material, which you are posting ?
28095

mix of every thing.. cl iift past papers,,every thing..

28096
@chillfactor said:
ABCD is a quadrilateral with integral sides and perimeter of 36 cm . How many different quadrilaterals ABCD can be formed?Sides can not be more than 17 (as if a side is 18, then sum of remaining three sides will also be 18 which is not possible). Suppose sides are 17 - a, 17 - b, 17 - c, 17 - dSo, (17 - a) + (17 - b) + (17 - c) + (17 - d) = 36=> a + b + c + d = 32So, C(35, 3) = 9139 such quadrilaterals
Sir, it contains repeated solutions since 1234 is same aa 1243, please correct me if i am wrong sir
28097

Meena and neena starts simultaneously fom Atowards B .when M has covered 27km N doubles her speed & 6 hrs later she overtakes Meena .What is neena s original speed? Meena speed is 45 km/hr

28098

if one root of the equation (I-m)x^2+Ix+1=0 is double of the other and is real find the greatest value of m.

a 9/8 b 8/7 c 8/6 d 7/5

28099
@pavimai said:
Meena and neena starts simultaneously fom Atowards B .when M has covered 27km N doubles her speed & 6 hrs later she overtakes Meena .What is neena s original speed? Meena speed is 45 km/hr
Sm = 45
Time for 27 kms = 27/45 = 3/5
Dist traveled by N = (3/5)Sn + 2Sn(27/5) = 45*6 ( I am assuming 6 hours is from the start as its not clear )
=> Sn = 45*6*5/57 = 23.68 .. ?
28100
@ScareCrow28 said:
Sm = 45 Time for 27 kms = 45/27 Dist traveled by N = (5/3)Sn + 2Sn(13/3) = 45*6 ( I am assuming 6 hours is from the start as its not clear ) => Sn = 45*6/(31/3) = 26.12 .. ?
shouldnt be 27/45??
28101
@pavimai said:
shouldnt be 27/45??
28102
@albiesriram said:
16?
28103
@IIM-A2013 said:
if one root of the equation (I-m)x^2+Ix+1=0 is double of the other and is real find the greatest value of m.a 9/8 b 8/7 c 8/6 d 7/5
9/8 ?
28104

@mailtoankit yes approach

28105
@albiesriram said:
A) 16
28106
@albiesriram said:
4c1*10*9*8*7/40c4
28107
@IIM-A2013 said:
@mailtoankit yes approach
a = 2b..or b = 2a

a + b = - I/(I - M)
ab = 1/(I - M)

3a = -I/(I - M)....i
2a^2 = 1/(I - M)....ii

solve these i and ii you will get eqn in terms of I and M

2I^2 -9I +9M = 0

now D>=0

(-9)^2 - 4*2*9M>= 0
M