Official Quant thread for CAT 2013

@htomar said:
If Sn denotes the sum of the first n terms in an Arithmetic Progression and S1 : S4 = 1 : 10 then the ratio of first term to fourth term is1) 1 : 3 2) 2 : 3 3) 1 : 44) 1 : 5
1/4?

A cube is to be painted with 2 colors. Each color is being used for 3 faces of the cube. How many different cubes painted in this way are possible???

The metro service has a train going from Mumbai
to Pune and Pune to Mumbai every hour. The first one at 6
a.m. The trip from one city to another takes 4.5 hours, and
all trains travel at the same speed. How many trains will
pass while going from Mumbai to Pune, if you start at 12
noon?
(A) 8 (B) 10
(C) 9 (D) 13
@wovfactorAPS said:
The metro service has a train going from Mumbaito Pune and Pune to Mumbai every hour. The first one at 6a.m. The trip from one city to another takes 4.5 hours, andall trains travel at the same speed. How many trains willpass while going from Mumbai to Pune, if you start at 12noon?(A) 8 (B) 10(C) 9 (D) 13
9?
@Shray14 said:
A cube is to be painted with 2 colors. Each color is being used for 3 faces of the cube. How many different cubes painted in this way are possible???
2?
@Zedai said:
2?
Dnt have the OA..Plz share ur approach.
@wovfactorAPS said:
The metro service has a train going from Mumbaito Pune and Pune to Mumbai every hour. The first one at 6a.m. The trip from one city to another takes 4.5 hours, andall trains travel at the same speed. How many trains willpass while going from Mumbai to Pune, if you start at 12noon?(A) 8 (B) 10(C) 9 (D) 13
trains which left pune at - 8, 9 ,10, 11, 12, 1 , 2 , 3 , 4

9?
@Shray14 said:
A cube is to be painted with 2 colors. Each color is being used for 3 faces of the cube. How many different cubes painted in this way are possible???
2
@wovfactorAPS said:
The metro service has a train going from Mumbaito Pune and Pune to Mumbai every hour. The first one at 6a.m. The trip from one city to another takes 4.5 hours, andall trains travel at the same speed. How many trains willpass while going from Mumbai to Pune, if you start at 12noon?(A) 8 (B) 10(C) 9 (D) 13
9?
@krum said:
2
Bro approach ??
ismein similar objects with similar things wala funda lagega kya??
@Shray14 said:
Dnt have the OA..Plz share ur approach.
take each case separately:

case 1: when the respective colors are all close to each other.

i.e, they will form clusters of 2 "same-colored-3-sides" (i.e 3 sides sharing 2 of their 4 edges)
no of cases: 1

case 2: when one of the same-colored side is opposite to one of it's same-colored sides.
if you can visualize, it will form two U shapes of respective colors.

cases: 1

total no of cases: 2

meine bass imagine kar liya inka arrangements.. koi formula hain toh pata nahi..
@Shray14 said:
A cube is to be painted with 2 colors. Each color is being used for 3 faces of the cube. How many different cubes painted in this way are possible???
2?

common corner or corner face
@pavimai said:
A welder can finish job A and job C in 10 days and 20 days respectively.A Blacksmith can finish job B and job c in 15 days and 10 days respectively.On the first day ,two welders begin work on job A and a day later three blacksmiths begin work on job B .what is the least time required to complete all the three jobs???1.33/42.37/43.31/44.none of these
33/4?
If 1/x + 1/y = 1/18 with x & y are positive integers.How many pairs of (x,y) exists?
Dont have OA yet
try it out guys
@Budokai001 said:
If 1/x + 1/y = 1/18 with x & y are positive integers.How many pairs of (x,y) exists?Dont have OA yettry it out guys
18 = 2* 3^2
so 3 *5 = 15

15
@Budokai001 said:
If 1/x + 1/y = 1/18 with x & y are positive integers.How many pairs of (x,y) exists?Dont have OA yettry it out guys
Direct formula.

Answer 15
@vijay_chandola said:
Direct formula.

Answer 15
bro not aware of any formula ...can u temme ?
@Budokai001 said:
bro not aware of any formula ...can u temme ?
1/x + 1/y = 1/p
thn no of soln = no of factors of p^2
@Budokai001 said:
If 1/x + 1/y = 1/18 with x & y are positive integers.How many pairs of (x,y) exists?Dont have OA yet
@Budokai001 said:
try it out guys


on solving, it becomes
(x-18)(y-18) = 324
now for every factor of 324, there's a different x,y pair
number of factors of 324 2^2.3^4 = 3*5 = 15

@Budokai001 said:
bro not aware of any formula ...can u temme ?
Check out the above post

Here, 18^2=2^2*3^4
Number of factors=(2+1)*(4+1)=3*5=15