Official Quant thread for CAT 2013

@rushikesh90 said:
@Cat.Aspirant123 As none of them ordered all 3 drinks, it lefts us with 30-8-20=2 peoples who ordered both coffee and ice tea
how come - 20 .....i got 30-8

Please thoda explain karke...I have just started with Quants....
If the system of equations, x-ky-z=0,
kx-y-z=0,
x+y+z=0, has a non zero solution, then the possible values of k are??
(a) -1, 2
(b) 1,2
(c) 0,1
(d) -1, 1 @rushikesh90

@Cat.Aspirant123 because 20 peoples who ordered tea cant order both ice tea and coffee..it will contradict the statement that no one ordered all 3 drinks
@TootaHuaDil said:
Please thoda explain karke...I have just started with Quants....If the system of equations, x-ky-z=0, kx-y-z=0, x+y+z=0, has a non zero solution, then the possible values of k are??(a) -1, 2(b) 1,2(c) 0,1(d) -1, 1
d)
By putting values of k equal to 0 and 2, we get all the three values i.e x,y and z equals to zero.However if we take values of k equal to 1 or -1 ,then the three values can be not equal to zero.
k=1 -> y+z=0
k=-1 ->x+y=0
The average age of Ram and Rita at the time of their marriage was 25 years. A son was born to them two years after their marriage. The present average age of all the three of them is 24 years. How many years is it since the couple got married?

5
7
8
10
@Cat.Aspirant123 said:
The average age of Ram and Rita at the time of their marriage was 25 years. A son was born to them two years after their marriage. The present average age of all the three of them is 24 years. How many years is it since the couple got married?57810
(50+2x+x-2)/3=24

==> x=8

8 years



@Cat.Aspirant123 said:
The average age of Ram and Rita at the time of their marriage was 25 years. A son was born to them two years after their marriage. The present average age of all the three of them is 24 years. How many years is it since the couple got married?57810
suppose at the time of marriage ages were x and y and suppose marriage happened n years back...Therefore, x+y=50 and
x+n+y+n+n-2=72 ..solve these two and you will get 8 as answer.
Im getting like this plz correct me............@TootaHuaDil

their avg age after 2 yrs would be 27 yrs, sum = 54, avg age along with the kid =24 yrs,therefore sum = 24*3 =72 ;difference = >72-54=18 (age of the son) so they got married 20 yrs back....!!!
@Dreamiim123 said:
Im getting like this plz correct me............@TootaHuaDiltheir avg age after 2 yrs would be 27 yrs, sum = 54, avg age along with the kid =24 yrs,therefore sum = 24*3 =72 ;difference = >72-54=18 (age of the son) so they got married 20 yrs back....!!!
18/3 would be the age of son, so 6+2=8 years ago they got married

than q @krum

@Dreamiim123 said:
Im getting like this plz correct me............@TootaHuaDiltheir avg age after 2 yrs would be 27 yrs, sum = 54, avg age along with the kid =24 yrs,therefore sum = 24*3 =72 ;difference = >72-54=18 (age of the son) so they got married 20 yrs back....!!!
No no..Not that way....You forgot the number of years that passed....When the child was born, sum=54 as you said
and now sum=72 as you said...Suppose child was born x years back..so 54+3x=72 will give you x=6 and so marriage happened 8 years back
@Cat.Aspirant123 said:
The average age of Ram and Rita at the time of their marriage was 25 years. A son was born to them two years after their marriage. The present average age of all the three of them is 24 years. How many years is it since the couple got married?57810
8

(a + b) = 50
(a + 2 + b + 2 + 3x) = 72
3x = 18
x = 6

So the couple got married 8 years ago.
@Cat.Aspirant123 said:
The average age of Ram and Rita at the time of their marriage was 25 years. A son was born to them two years after their marriage. The present average age of all the three of them is 24 years. How many years is it since the couple got married?57810
solving the problem without pen and paper

average age of parents when Kid was born = 27.

now we want to bring the average age of the family to 24. So we can look it in a way that whatever be the extra age of parents above 24 can be added to kids age and we keep doing this until kid's age becomes 24.
This means every year kid's effective age increases by 3 (i.e 1 yr of his own age + 2 years that he receives from parents)

In the year he was born he received 2*(27-24) = 6 years from his parents. => he needs to accumulate 18 more years. And this will happen in 18/3 = 6 years time after kid was born hence (6+2) = 8 years of marriage now.

ATDH.

a+b=50

a+2+y+b+2+y+y=72
y=6
@gupanki2 said:
A bag has coins in the denominations of 50 p , 25 p , 20 p in the ration 4:2:1. If the total value of the coins is Rs 54, find the number of 25 p coins in the bag.
270x=5400
x=20
so numbert of 25p coins is 1000
@Cat.Aspirant123 said:
The average age of Ram and Rita at the time of their marriage was 25 years. A son was born to them two years after their marriage. The present average age of all the three of them is 24 years. How many years is it since the couple got married?

5
7
8
10
(54+3x)/3=24
x=6
but that is from when their son was born
so, 8 should be OA
if
4 -- 1
| |
5 --
29

and

10 -- 12
| |
15 -- 450



2 -- 9
| |
3 -- ?



find ?

(each group of 4 are in table.. i tried to draw one)
@bullseyes said:
if4 -- 1 | |5 -- 29and10 -- 12 | |15 -- 4502 -- 9 | |3 -- ?find ?(each group of 4 are in table.. i tried to draw one)
Ans: 51
Logic:
29 = 4*1 + 5*1 + 4*5
450 = 12*10 + 15*10 + 12*15

51 = 9*2 + 3*9 + 3*2 ...
@ScareCrow28 said:
Ans: 51Logic:29 = 4*1 + 5*1 + 4*5450 = 12*10 + 15*10 + 12*1551 = 9*2 + 3*9 + 3*2 ...
Great logic..
This question had me stumped for quite some time..:(
@soumitrabengeri said:
Great logic..This question had me stumped for quite some time..
Just clicked! 😛 I was, too, in a fix for a few minutes.