Official Quant thread for CAT 2013

@albiesriram said:
3x
2x
x
3x>y-x
4x>y
x>y/4

option A


A smartphone unlocking code consists of 9 'dots' arranged in 3x3 matrix. Dots selected need to be continuous (eg. 1,1;1,2;1,3 or 1,1;2,2;3,3 . 1,1;1,3;1,2 not possible) and cannot be selected more than once.A unique unlocking sequence may or may not use all the 9 dots. How many combinations are possible ??

No OA so pls explain.

@albiesriram said:
3x, 2y, x+y
sum of two sides > 3rd side....golden rule...
3x+2y> x+y
2x+y>0
1st option without further calculation...
and also..
x>0 y>0
then if x
how can x be negative.....






@albiesriram said:
30
@s-ndy said:
A smartphone unlocking code consists of 9 'dots' arranged in 3x3 matrix. Dots selected need to be continuous (eg. 1,1;1,2;1,3 or 1,1;2,2;3,3 . 1,1;1,3;1,2 not possible) and cannot be selected more than once.A unique unlocking sequence may or may not use all the 9 dots. How many combinations are possible ?? No OA so pls explain.
looks out of context...Better solution by dynamic programming...
@albiesriram said:
F+V=E+2

E=30

college yaad aa gya... engg mein pada tha ye kahi..:D
@Dexian said:
30
@Subhashdec2 said:
F+V=E+2
OA
@Highway66 said:
This one is a nice ques:A pencil, eraser and notebook together cost Rs 100. the notebook cost more than two pencils. three pencils cost more than four erasers and three erasers cost more than one notebook. Answer the questions given that cost are positive, non-zero, integers.1) The cost of pencil isa) 27 b) 26 c) 28 d) data insufficient2) if u paid the shopkeeper Rs 210 for 2 notebooks, 3 pencils and 1 eraser, how many change would he returna) 3 b) 5 c) 7 d) data insufficient
method :
n + p + e =100

n> 2p
3p>4e ........ p>4e/3
3e> n
or..
3e/2 > n/2 > p

n>2p... or n>8e/3

e+ 8e/3 + 4/3e or e
if e=19, then n+p = 81
2p + p 2p
p
now try with numbers.. 3p>4e
e=19
3p> 76
p>25 but less than 27.
so p = 26.
n has to be 55.

2 part, simply substitute these values and see. :)

@albiesriram said:
30. F +V = E + 2.

Finally used Euler. But not for remainders :splat:

regards
scrabbler

@scrabbler said:
30. F +V = E + 2.Finally used Euler. But not for remainders regardsscrabbler
yaha pe kya Euler use kiya aapne.. pls thoda detail mein batao
@albiesriram said:
21 => 8rt13.

regards
scrabbler

@albiesriram said:
is it b?

@albiesriram said:
faces+vertices-edges = 2
12+20-e=2
e=30

PS - had to google this formula, yaad nahi aa raha tha
@iLoveTorres said:
yaha pe kya Euler use kiya aapne.. pls thoda detail mein batao
http://en.wikipedia.org/wiki/Euler_characteristic

Euler's Formula, not Euler's totient function :splat:

regards
scrabbler

@Logrhythm said:
faces+vertices-edges = 212+20-e=2e=30PS - had to google this formula, yaad nahi aa raha tha
take cube as an example u can keep a count on it.

cube has 6 faces(f), 8 vertices(v) and 12 edges (e). now rearrange to arrive the formula
f+v = e+2.

2X*(8+2X)=24...... where x is the radius of circle...
in that kite wala sum....
is it correct???

@Dexian said:
2X*(8+2X)=24...... where x is the radius of circle...in that kite wala sum....is it correct???
= 48. Kite is 1/2 product of diagonals.

regards
scrabbler

@scrabbler said:
= 48. Kite is 1/2 product of diagonals. regardsscrabbler