Official Quant thread for CAT 2013

@vbhvgupta said:
Q 2
4 lakh kg
@hedonistajay said:
but will not 12 multiples of 8 will be in 48 even number
All even values of "n" satisfy and 12 odd values of "n" satisfy
@vbhvgupta said:
Q 2
b) ??
@vbhvgupta said:
Q1
80/100*(67.5/100*x - 100000) - 750000 = 250000
x = 20 lacs ?
@ScareCrow28 said:
All even values of "n" satisfy and 12 odd values of "n" satisfy
thanks .. lagta hai chai peeni padegi
@ChirpiBird said:
20lakhs?
Approach?
@vbhvgupta said:
Approach?
[ .675x-100000]* 80/100 - 7.5lakhs= 2.5 lkhs

calculate x.
@hedonistajay said:
but will not 12 multiples of 8 will be in 48 even number
ya sorry wrote little bit wrong every triplet that has multiple of 8 will satisfy same like dexian.....
@vbhvgupta said:
Q 2
400k ?

25/100*80/100*x = 80000
x = 400k
@iLoveTorres said:
a)80b)6
wats d soln..plz elaborate

if y (y>=4) is an even natural number and x=y^2 -2y, then the largest natural number that divides x^2 - 8x is

a)192
b)144
c)384
d)96
@sachisurbhi said:
if y (y>=4) is an even natural number and x=y^2 -2y, then the largest natural number that divides x^2 - 8x isa)192b)144c)384d)96
x^2-8x=x(x-8)
(y^2-2y)(y^2-2y-8)
y(y-2)(y-4)(y+2)

aise to among the options it will be 384
@sachisurbhi said:
if y (y>=4) is an even natural number and x=y^2 -2y, then the largest natural number that divides x^2 - 8x isa)192b)144c)384d)96
96 ??

how many natural numbers below 50 are there in the condition that satisfying (n-1)! is not a multiple of n ?

a)15
b)14
c)17
d)16

@sachisurbhi said:
if y (y>=4) is an even natural number and x=y^2 -2y, then the largest natural number that divides x^2 - 8x isa)192b)144c)384d)96
any number of the form 2k would divide it, out of the options 384...

x^2 - 8x = y(y^3 - 4y^2 - 4y + 16)

y(y^3 - 4y^2 - 4y + 16) mod y is always 0....hence any number of the form 2k (or 384 from options, which is the largest here)..
@ScareCrow28 ans is c)384 ..

@sachisurbhi said:
how many natural numbers below 50 are there in the condition that satisfying (n-1)! is not a multiple of n ?a)15b)14c)17d)16
16??

all primes
@sachisurbhi said:
@ScareCrow28 ans is c)384 ..
I didn't get the question..largest no that always divides or just divides?
@sachisurbhi said:
if y (y>=4) is an even natural number and x=y^2 -2y, then the largest natural number that divides x^2 - 8x isa)192b)144c)384d)96
@ScareCrow28 said:
I didn't get the question..largest no that always divides or just divides?
largest number