CAT 2012 Kerala study group

MBA CAT 2024
821

Guys for some reason my internet & pg editor is acting up.. the x & y seem to be missing from my above post despite typing the equations out twice .


P.S Waiting for the daily quota of 5 Q's from each study member ??
Luks like our plans went down the drain!! He..he !!

822
@Kevin88 said: Guys for Q4 : I'm getting the following equations :
Just tell me where i'm going wrong
-5 -3 -3
-7==> -10 -6
-5 -7
ie -5

Do the same for Y and Find the range for X-2Y.
823
@raku1989
Me too gave my 1307..no comments Thirichu schoollileku pokan samayam aayi !!

S1 : 19C 5W ....52
S2 : 15C 9W.....36 Pathetic Accuracy
OA : 88

824
@
@Kevin88 There is no way our plans are going to go down the drain.Will start posting 5 questions a day from today onwards.....
825
ABC is a isosceles triangle where AB=AC=13 . I is the incentre such that AI = x & BC = 13+x
Find /_ ACB
a) 40 b) 45 c) 50 d) Data insufficient
826

DAILY DOSE OF QUANT-SEPTEMBER 1

1.18^2000+12^2000-5^2000-1 is divisible by

(a)323 (b)221 (c)299 (d)237 (e)249

2.Let n be the smallest positive number such that S= 8^n*5^600 has 604 digits.Then the sum of the digits of S is

(a)19 (b)8 (c)10 (d)11 (e)12

3.The lat two digits of 4^1997 are

(a)04 (b)24 (c)44 (d)64 (e)84

4.What is the sum of all the coefficients of all terms of the expansion (1+2x+3x^2-4x^3)^10

(a)256 (b)1024 (c)1023 (d)2047 (e)2048

5.What is the remainder when 123123123.....(300 digits) is divided by 99

(a)18 (b)27 (c)33 (d)36 (e)39

827
@Kevin88
1)If a, b, c, d are real numbers with a2 + b2 + c2 + d2 = 100, then what is the maximum value of 2a + 3b + 6c + 24d?
a)240 b)250 c)300 d)None of these

this is how i did it..
as the coefficient of 'd' is highest, i gave it the largest integer value ie 9, then next value to c ie 4 , b=root(2) and a=1

solving, i got 2*1+3*root(2)+6*4+24*9..tats appr 250..
828
2) If one root of the equation (I-m)x^2 +I x + 1 = 0 is double of the other & is real, find the greatest value of m.

A)9/8 B)8/7 C)8/6 D)7/5 E)5/7

Couldn't solve..
829
3) If p^2*q^3*r = (28/27) where p, q and r are positive real numbers, then find the minimum value of (p + q + r)?

a) 12 b)5 c)9 d)4 e) 3

@Kevin88 Sure the answer is 4 ? I got 5. Can you post the solution ?
830
@mickym Don't know
831
@seetharam7 Kevin had mentioned in an earlier post that it is 2^8/27, not 28/27.With this corrected value, the ans is indeed 4
832
@rohan_bhasker Yes, i split is as p^2=2^2/9....q^3=2^6....r=1/3...

Got the ans perfectly as 5
833

p^2*q^3*r = 2^8/27.In order to minimize p+q+r, p/2 = q/3 = r.Hence solving r=2/3.Hence p+q+r = 6r = 4 😃

834
@rohan_bhasker DAILY DOSE OF QUANT-SEPTEMBER 1

Is the answer to the 3rd ques, 84 ?
835
@seetharam7 Yes u r correct :)
836

Sorry for not being active for sometime puys. I had gone to my native place, plus was busy giving treat to friends


Anyways, got a wake up call yesterday..took AIMCAT 1307

QA/DI 16A 13C 3W =36
VA/LR 19A 10C 9W =21

Found the LR on X,Y,Z and 7 subject marks a bit confusing and wasted lots of time on it. RCs didn't make any sense.
837
@seetharam7 I did not understand a single RC question either buddy .....But LR was quite ok
838
@rohan_bhasker said:

DAILY DOSE OF QUANT-SEPTEMBER 1

1) 221? Since its divisible by 17 and 13 both.
2) S=19. since n=4. and 8^4 = 4096
3) 84.
839
@raku1989 said:
4) 1024?? i got a pattern (0,1,2,4,....) when i changed the power 10 and tried with 0,1,2,....
So it has to be 2^10.
5) 33. remainder with 11 = 0 and remainder with 9 =6.
840

Guys.....I am using internet through my mobile sitting at office. So it ll be very difficult for me to post questions here at this time...Ill post once i reach back home....