CAT 2012 Kerala study group

@seetharam7
That took some time !! I'm getting it as 200 itself. But i dont know the individual distributions.
Method : (HW- House Wife)
To maximise the no who watched atleast 3 =>max(HW watching 3) + Min of (HW watching 4)
= 170 + 30 =200.
Now i worked backwards.
Excess HW from Q = 630-200=430 cases.
Max(HW watching 3) accommodates 170*2=340 cases.
Min of (HW watching 4) accommodates 30*3=90 cases
U can thus find total but individual distributions among channels would be thru trial & error i guess !!!

From where are practicing both sections from ?
@Kevin88 I am going through the basic material of TIME. Not going topic wise. I write a mock, analyse, find a weak area, work on it. That's it ! Haven't worked on Sec II for a while. Have some practice exercises of TIME. Hope to go through it.

This thread is really on a roll now .Keep up the good work guyz......

Hi all!! I jus wanted to know; how much time on an average, do u spend to solve each question in DI part? General case, ok....
After how much time do u give up on the problem, deeming it 'unsolvable'???


Any source for DI caselets? Offline downloadable material appreciated too.....


Concept J2 - Last 2 digits of numbers ending in even numbers(2,4,6,8) 18-09-12

Use the pattern of the number 1024 =2^10 i.e.

*2^10 raised to even power ends with 76 and

* 2^10raised to odd power ends with 24


e.g.) 2^(788) = ((2^10)^ 78 )* (2^8) = (....76 )*(256) = ...56

@Ash27Winz
Well personally i stick to a thumb rule of giving DI - 20-25 Minutes max.
However, it depends on the difficulty level of the set. A max of 2.5 min per Q; else bookmark

It always better to leave the unsolvable ones to the end; if the method does not click on a couple of reads, skip it- max 1 min.

All of these are thumb rules, but you need to be flexible with them.

Browse through the DI thread, prep section for caselets

V1. To find the last 2 digits of the square of any number.

x^2, (50-x)^2, (50+x)^2, (100-x)^2, (100+x)^2, (150-x)^2 etc ends with x^2.

All you need to know is last 2 digits of squares till 25^2.

TCYonline is offering free mock tests. Please go through the site if interested. I haven't given it yet but would like to. Has anyone given any of 'em ?

Team.. Whats with the silence & deadlock here !!!

Was busy with my Internal Audit the last 2 days & was unable to log in
Anyway an easy one from my end.

Q : For how many intergral k does the inequality log 2 + log (2x^2 + 2x + 7/2) >= log (kx^2 + k) possesses at least one solution?

2)Let C be mini 4X4 chessboard . In how many ways is it possible to select two squares of C such that the midpoint of the segment joining the centres of the two squares should also be the centre of a square?

Could anyone explain the underlying logic if the Q was a NXN square ?

anybody from trivendram here?

@Pratishruti I believe @pradyothcjohn 's from Trivandrum.. we did have guyz crawling out of the wood work earlier..but sadly many are now silent else lurking behind the shadows

Where is everyone ???

3) The total number of 7 digit positive integers whose digits are in increasing order (not necessarily strictly) is ?

@Kevin88 Dude, had gone on a trip with college mates. Just got home.
Aimcat 1304
QA/DI 26A 24C 2W == 70
VA/LR 28A 15C 13W == 32
OA 54A 39C 15W == 102

It was the easiest mock of the season. Just went through the thread, everyone is scoring above 100.
Someone help me with section 2 !

@Kevin88 said: Where is everyone ???3) The total number of 7 digit positive integers whose digits are in increasing order (not necessarily strictly) is ?
Can the digits repeat or is it distict digits ?
Ans for distinct digits
1st digit = 9 possibilites (except 0)
2nd digit = 9 possibilites
3rd digit = 8
4th digit = 7
5th digit = 6
6th digit = 5
7th digit = 4

total possibilites = 9*9*8*7*6*5*4 = 544320
in each possibility exactly one arrangement will have numbers in increasing order
So = 544320/ 7! = 108

@raku1989 @rohan_bhasker @pugna Please correct me if i am wrong.

@Kevin88 said: Team.. Whats with the silence & deadlock here !!! Was busy with my Internal Audit the last 2 days & was unable to log in Anyway an easy one from my end.Q : For how many intergral k does the inequality log 2 + log (2x^2 + 2x + 7/2) >= log (kx^2 + k) possesses at least one solution?
I finally got

(4-k)x^2 + 4x + (7-k) >=0

Trial and error
k=0,1,2,3,4,5,6,7....8 values..

when k=8, we get
-4x^2 + 4x -1 >=0....so no value of x will satisfy the inequality...


@Kevin88 said: 2)Let C be mini 4X4 chessboard . In how many ways is it possible to select two squares of C such that the midpoint of the segment joining the centres of the two squares should also be the centre of a square?Could anyone explain the underlying logic if the Q was a NXN square ?
Absolutely no idea

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