Official Quant thread for CAT 2013

@rkshtsurana said:
21 ?
9! divided by (6!4!) rite! now I tried the same for 2 red and 2 green balls. why is that not working??
@kingsleyx said:
9! divided by (6!4!) rite! now I tried the same for 2 red and 2 green balls. why is that not working??
ya dat was doubt fr me too n d thing i was gng to tell u..21 is ryt i knw..but it wont wrk fr 2 and 2..

@kingsleyx said:
9! divided by (6!4!) rite! now I tried the same for 2 red and 2 green balls. why is that not working??
there is no flaw in 9!/4!*6!=21

we can round off in 2R and 2G or 2R and 4G case.
@rkshtsurana said:
ya dat was doubt fr me too n d thing i was gng to tell u..21 is ryt i knw..but it wont wrk fr 2 and 2..
In 2R and 2G balls ..No of ways would be 3 na?? Why are you saying that it's not working??
smjhao bhai..
@vijay_chandola bhai thoda edkhna

Could some one pls tel me how to solve these ?

Remainders for:
1. [(247^ 250271]/3293 ?
2. [(149)^149223]/647 ?




3293 = 37x89
247 = 13x19

147 n 647 are primes here...

In a family there are 4 members.The father is 38 yrs older than his son and the mother is 26 yrs older than her daughter.The sum of their ages today is 82. All member are at least one year old.Eight years ago sum of their ages was 57.Which of these will be the possible value for the age of the son in 8yrs?
1)18
2)19
3)16
4)17
@ScareCrow28 said:
In 2R and 2G balls ..No of ways would be 3 na?? Why are you saying that it's not working?? smjhao bhai..@vijay_chandola bhai thoda edkhna
2 hnge..2 red ball and 2 green ball sath sath..and 2 case me alternate..3 kaunsa case he ?
@rkshtsurana said:
2 hnge..2 red ball and 2 green ball sath sath..and 2 case me alternate..3 kaunsa case he ?
RRGG
RGRG and
RGGR ??
@19rsb said:
In a family there are 4 members.The father is 38 yrs older than his son and the mother is 26 yrs older than her daughter.The sum of their ages today is 82. All member are at least one year old.Eight years ago sum of their ages was 57.Which of these will be the possible value for the age of the son in 8yrs?1)182)193)164)17
3)16

F = S + 38
M = D + 26
F + M + S + D= 82
S + D = (82 - 26 - 38)/2 = 18/2 = 9
Let S F + M + D - 24 = 57
S + 2D + 40 = 57
S + 2D = 17

D = 8, S = 1
or
S = 8, D = 1

S + 8 = 1 + 8 = 9
or
S + 8 = 8 + 8 = 16

@19rsb said:
In a family there are 4 members.The father is 38 yrs older than his son and the mother is 26 yrs older than her daughter.The sum of their ages today is 82. All member are at least one year old.Eight years ago sum of their ages was 57.Which of these will be the possible value for the age of the son in 8yrs?1)182)193)164)17
16?

Current ages are
Daughter- 1 year..Son- 8 years...Dad- 46 yrs and Mom- 27 years
Satisfies all conditions..
Please correct me if i am wrong
@gautham87 said:
Could some one pls tel me how to solve these ?Remainders for:1. [(247^ 250271]/3293 ?2. [(149)^149223]/647 ?
Any one ?
@19rsb said:
In a family there are 4 members.The father is 38 yrs older than his son and the mother is 26 yrs older than her daughter.The sum of their ages today is 82. All member are at least one year old.Eight years ago sum of their ages was 57.Which of these will be the possible value for the age of the son in 8yrs?1)182)193)164)17
3) 16?

find the highest co-efficient in (1-x^6)^4 (1-x)^-4

@19rsb said:
In a family there are 4 members.The father is 38 yrs older than his son and the mother is 26 yrs older than her daughter.The sum of their ages today is 82. All member are at least one year old.Eight years ago sum of their ages was 57.Which of these will be the possible value for the age of the son in 8yrs?1)182)193)164)17
son = s
father = 38 + s
daughter = d
mother = 26 + d

eight years ago both son and daughter were not born because 38 + 26 =64>57

so let eight years ago, father be f and mother be m
f+ m =57

today
f+m+ 8+8 + son + daughter = 82
son + daughter = 9


if i consider daughter to be 1( min)
som = 8
8 years from now = 16 years

daughter = 2
son = 7
so 7+8 = 15 not in options

so 16



@ScareCrow28 said:
RRGGRGRG andRGGR ??
rrgg and rggr is same
@arumugadas said:
find the highest co-efficient in (1-x^6)^4 (1-x)^-4
@antodaya said:
(1-4x^6+6x^12)(1-x)^-4no we have to find out the coeff of x^12 that can be made from... 1.coeff of (1)(x^12)=====> 4552. coeff of (x^6)(x^6)======> -3363. coeff of (x^12)(1)=======> 6so ans =125Note :> Coeff of x^r in (1-x)^-n = C(n+r-1,n-1)
Already solved
@gautham87 said:
Could some one pls tel me how to solve these ?Remainders for:1. [(247^ 250271]/3293 ?2. [(149)^149223]/647 ?
give options ?
p.s. - i doubt if they r not self made ques
@rkshtsurana said:
rrgg and rggr is same
@rkshtsurana
hey no no they are not self made.. these are questions that i found on the facebook page of pioneercareer :(
no options given .. and i found it quite tough to solve