Official Quant thread for CAT 2013

MBA CAT 2024
22327
@maroof10 said:
If a,b,c are 3 non negative integers such that a+b+c=10, find the max value of ab+bc+ac+abc
This question has already been discussed....
I think yesterday.....
Maximum value is 69....
If not integers then 70.xx should be the maximum value....
22328
@maroof10 said:
If a,b,c are 3 non negative integers such that a+b+c=10, find the max value of ab+bc+ac+abc
keep them as close as possible....3+3+4
9+12+12+36 = 69...

if not integers, then -> 10/3+10/3+10/3
100/9 + 100/9 + 100/9 + 1000/27 = 70.37
22329
@mailtoankit said:
3rt3*a^2/32 ?
Bhai approach please.....

22330
@DeAdLy said:
Q1:amit threw five standard dice simultaneously. He found that the product of the numbers on the top faces was 216. which of the following couldn't be the sum of numbers on top five faces:a: 17b: 19c: 18d: 20Q2:The number 2006! is written in base 22. How many zeroes are there at the end?a: 500b: 450c: 200d: 199Q3:X & Y are two natural no's such that X+Y=949. LCM of X & Y is 2628. What is the HCF of X & Y??a: 23b: 73c: 69d: noneAnswer along with approach is must
2. 199
3. 73
1.19
22331
@iLoveTorres said:
consider the case of (4,4,3,3,3) this satisfies the condition of product 216
How is the product 216..????
16*27 is def more than 270....
22332
@saurav205 said:
Bhai approach please.....
bhai attachment dekh lo....waise OA kya hai...i dont knw if my solution is correct
22333
@mailtoankit said:
bhai attachment dekh lo....waise OA kya hai...i dont knw if my solution is correct
I was getting a^2/8
Side of sq = a/rt2
Radius = a/2rt2
So got an issoceles triangle with base = side of sq and height = half of the side of sq = radius


22334
@amresh_maverick said:
OA :9 :20 :18

Let S be the sum of an arithmetic series. The arithmetic mean of every two consecutive terms and every three consecutive terms of S form the consecutive terms of series S1 and S2 respectively. If the sum of all the terms in series S1 and in series S2 are 1375 and 690 respectively, then find the sum of all the terms in series S.


2060
sum of 2 term series
(n-1)*(2a+(n-1)d)=2750
sum of 3 term series
(n-2)*(2a+(n-1)d)=1380
divide them
n comes out as 206/137
subtract the above two equations
2a+(n-1)d=1370
206*1370/137=2060
so 2060
22335

suppose we have 3 real no.s x,y,z such that x^3=3y-2 ,y^3=3z-2 ,z^3=3x-2.Find the no. of triplets of(x,y,z) which exists?

22336
@Subhashdec2 @joyjitpal @Logrhythm @saurav205 @perseverance07 @abhishek.2011 :

OA:
1: 19
2: 199
3: 73
22337
A point P lies inside unit square ABCD such that angleAPB is acute while angleBPC is obtuse . Find the area of the locus of point P.

P.S : aaj saare kai po che! dekhne gye hain kya??
22338
@maroof10 said:
If a,b,c are 3 non negative integers such that a+b+c=10, find the max value of ab+bc+ac+abc
69
22339
@ChirpiBird said:
A point P lies inside unit square ABCD such that angleAPB is acute while angleBPC is obtuse . Find the area of the locus of point P. P.S : aaj saare kai po che! dekhne gye hain kya??
Options/???
22340
@ChirpiBird said:
A point P lies inside unit square ABCD such that angleAPB is acute while angleBPC is obtuse . Find the area of the locus of point P. P.S : aaj saare kai po che! dekhne gye hain kya??
aap hi ka intezar ho raha tha.. ab sab aa jayenge dekh lena :P
22341
@iLoveTorres said:
aap hi ka intezar ho raha tha.. ab sab aa jayenge dekh lena
No spamming pls.. @Estallar12 already warned about that..
22342
@saurav205 said:
Options/???
1/4 , 2/7, 13/50 , 2/9, none

plz post the method too. :)
22343
@ChirpiBird said:
A point P lies inside unit square ABCD such that angleAPB is acute while angleBPC is obtuse . Find the area of the locus of point P. P.S : aaj saare kai po che! dekhne gye hain kya??
1.5PI*r^2
22344
@iLoveTorres said:
1.5PI*r^2
r?? arre square is of side 1. all measurements are given.
pi calculate kar k post karo. btw what locus did u get?
22345
@ChirpiBird said:
r?? arre square is of side 1. all measurements are given. pi calculate kar k post karo. btw what locus did u get?
actually the point P should form a triangle with any1 of the sides.. but the locus wil then be a circle or a larger square.. correct me if i am wrong
22346
@iLoveTorres said:
actually the point P should form a triangle with any1 of the sides.. but the locus wil then be a circle or a larger square.. correct me if i am wrong
no, it wont form a triangle. i got a weird shape.
i'll post OA later after 9. Let others try. :)