Official Quant thread for CAT 2013

@scrabbler
internalise matlab??
@scrabbler said:
It's actually pretty quick once you internalise it. At least, the "find all possible 5 digit numbers where digits are non-increasing" kind of questions....this was another level of brutality regardsscrabbler
(10+5-1)C(10-1) = 14c9 😛
@Dexian said:
@scrabblerinternalise matlab??
Matlab once you practice it a bit and it becomes second nature. Like you don't need to calculate 11^3, do you? Or the formula for roots of a quadratic? Or Pythagoras theorem? So it hardly takes time to apply those things...this is just another funda like that which can be a part of your way of thinking.

regards
scrabbler

@Dexian said:
@scrabblerinternalise matlab??
matlab to incorporate something....with belief
@scrabbler @Logrhythm
i thought ye bhi koi maths ka funda hai......
poor me.............
@Dexian said:
@scrabbler@Logrhythmi thought ye bhi koi maths ka funda hai...... poor me.............
No in fact it is an MBA-style term 😃 Like "core competency"...one of those terms you can drop to sound fancy

regards
scrabbler

@scrabbler said:
No in fact it is an MBA-style term Like "core competency"...one of those terms you can drop to sound fancy regardsscrabbler
does one develop/inculcate core competency(ies) or discover within onself??

conflicted with doubt, as i think i have none...
@scrabbler said:
No in fact it is an MBA-style term Like "core competency"...one of those terms you can drop to sound fancy regardsscrabbler
does one develop/inculcate core competency(ies) or discover within onself??

conflicted with doubt, as i think i have none...

@Logrhythm said:
does one develop/inculcate core competency(ies) or discover within onself?? conflicted with doubt, as i think i have none...
One tells other people about them. They are imaginary constructs. Before you do an MBA you would call them "strengths" 😁 But once you become a consultant you can't use words whose meaning they know - you justify your salary by telling your clients to "leverage their core competencies in advertising to gain significant top-of-mind recall" and voila, you get paid for it.

Disclaimer: no insults to consults. just kidding :)

regards
scrabbler

@scrabbler said:
One tells other people about them. They are imaginary constructs. Before you do an MBA you would call them "strengths" But once you become a consultant you can't use words whose meaning they know - you justify your salary by telling your clients to "leverage their core competencies in advertising to gain significant top-of-mind recall" and voila, you get paid for it.Disclaimer: no insults to consults. just kidding regardsscrabbler
iska OA kya hai???
@Dexian said:
iska OA kya hai???
Woh to sirf MBA ke baad milega...maybe. ;)

regards
scrabbler

How many 4 digit numbers of the form AABB r there where AABB is a square of a natural number?

@Dexian said:
How many 4 digit numbers of the form AABB r there where AABB is a square of a natural number?
88^2 = 7744.....1 number ?
@mailtoankit said:
88^2 = 7744.....1 number ?
iska approach kya hai........
almost yaad ho gaya hai...
how to go abt it??
@Dexian said:
iska approach kya hai........almost yaad ho gaya hai...how to go abt it??
yaar...ek hi number hota hai (7744)....i cant think of any other number !

In one of the scams, 12 ministers agree to share the money. They agree that the kth minister will walk away with k/12 of the money remaining. Each minister comes and takes away his/her share in a diplomatic way. What is the share for 12th minister ,if all the ministers walk away with a Whole number of money, and the money gained through the scam is the smallest satisfying the above condition. ?


@albiesriram said:
In one of the scams, 12 ministers agree to share the money. They agree that the kth minister will walk away with k/12 of the money remaining. Each minister comes and takes away his/her share in a diplomatic way. What is the share for 12th minister ,if all the ministers walk away with a Whole number of money, and the money gained through the scam is the smallest satisfying the above condition. ?
1

1??

options..
a) 1478
b)1296
c) 1728
d)1925
e) 3850
@Dexian said:
How many 4 digit numbers of the form AABB r there where AABB is a square of a natural number?
AABB can be written as 1000A + 100A + 10B + B = 1100A + 11B
= 11 (100A + B)
To be a perfect square, (100A + B) must be atleast [11 x something^2] and at the same time AABB must be maintained as a 4 digit no.
Thus try out AABB =
(1) 11 ( 11 x 1^2) = 121 (not 4 digit)
(2) 11 (11 x 2^2) = 484 (not 4 digit)
....
.
.
.
.(7) 11 (11 x 7^2) = 5929
(8) 11 (11 x 8^2) = 7744
(9) 11 (11 x 9^2) = 9801

You will c there's only one such no.

@Dexian said:
iska approach kya hai........almost yaad ho gaya hai...how to go abt it??
approach 2 :

Square nos. can end only with 1,4,5,6,9
this means our no is of the type:
AA11
AA44
AA55
AA66
AA99

Those are the only possibilities.
(1) Now note that square of a no ending in 5 always ends in 25 and not 55 as in AA55; so AA55 ruled out
(2) Also observe squares ending in 6 => 36, 16, 256 etc. Number preceding 6 is always odd. So AA66 ruled out
(3) Also observe that squares ending with 9 (81,49 etc) have no preceding 9 as even. So AA99 ruled out

We are left with only AA11 and/or AA44
If u c 1111, 2211, 3311, ..., 9911 none are perfect squares.
Similarly observe 1144, 2244, ....., 7744, 8844, 9944

Only one number 7744 is a perfect square