Official Quant thread for CAT 2013

MBA CAT 2024
11181
@pari19O1 said:
krum saar....if the numbers are 2,5,5 or 2,3,7??no where it is given ki numbers are not equal??so how to calculate..."1. a, b and c are prime numbers. What is the value of a*b* c?Statement 1:a + b + c = 12Statement 2:6300 is divisible by a*b* c and 1890 is divisible by b*c"
From 1 statement: a, b, c can be 2,3,7 so a*b*c=2*3*7=42
=> sufficient.

From second statement: 6300=7*3^2*2^2*5^2=> a,b,c can be 2,3,5,7
1890=2*5*7*3^3=> b, c can be any two of 2,3,5,7
=> insufficient.

11182
@ayushbhalotia 49: it comes out to be 24. I can't make out of proportional sign for 0....
11183
@ayushbhalotia said:
Pls. solve the question .... XAT 2007 Q...
49) f(1) = 3

f(2)*f(0) = f(2)+f(2) => f(0) = 2
f(1)*f(1) = f(2)+f(0) => f(2) = 7

f(1)*f(2) = f(3)+f(1) => f(3) = 21-3 = 18

50) f(2)*f(2) = f(4)+f(0) => f(4) = 49 - 2 = 47

f(4)*f(3) = f(7)+f(1) => f(7) = 47*18 - 3 = 843
11184
@vijay_chandola said:
From 1 statement: a, b, c can be 2,3,7 so a*b*c=2*3*7=42=> sufficient.From second statement: 6300=7*3^2*2^2*5^2=> a,b,c can be 2,3,5,71890=2*5*7*3^3=> b, c can be any two of 2,3,5,7=> insufficient.
for a if the numbers are 2, 5, 5 then??
the product will be different than what it will come when the numbers are 2,3,7....

bhai ye hai mera doubt....
ise clear karo...
:)
11185
@vbhvgupta said:
A square and rectangle are of equal area. The shorter side of the rectangle is 5m. The perimeter of the square is? i. Area of rectangle is 25 sq.mt ii. One side of the rectangle is four times the other
only first statement is sufficient.
11186
@vijay_chandola said:
only first statement is sufficient.
bhai second statement se bhi ho jaayega...

one side of rectangle is 5(the shorter side)
toh area of rectangle us 5*20= 100

area of square is 100 so side = 10...

perimeter = 4*10=40...
:)
11187
@ayushbhalotia said:
Q) for how many integers n, n/(20-n) is the square of an integer??Options - a) 0 B) 1 C) 2 D) 3 E) 4
3 {10, 16, 18}
11188
@pari19O1 said:
bhai second statement se bhi ho jaayega...one side of rectangle is 5(the shorter side)toh area of rectangle us 5*20= 100area of square is 100 so side = 10...perimeter = 4*10=40...
Shorter bi diya h kya :banghead:

I thought one of the side is 5=> second could be 5*4 or 5/4 , anything :embarrassed:

@pari19O1 said:
for a if the numbers are 2, 5, 5 then??the product will be different than what it will come when the numbers are 2,3,7....bhai ye hai mera doubt....ise clear karo...
It looked obvious to me that all three a, b, c would be different. :-/
But yeah, the answer can be option [5].
11189
@pari19O1 said:
either statements...i) perimeter - 20ii) area = 100, perimeter = 40

I am not getting 1st one..
see if u consider area as 25 for a rectangle...it is not possible as it will be a square(5*5 same sides)....that is where I am getting confused....

11190

1. For a triangle the centroid, orthocenter and the in-center are the same point. What is the area of the triangle?
i. The triangle is equilateral
ii. One side is 2m long

11191
@vbhvgupta said:
1. For a triangle the centroid, orthocenter and the in-center are the same point. What is the area of the triangle? i. The triangle is equilateral ii. One side is 2m long
[ii] is alone sufficient.
11192
@vbhvgupta said:
1. For a triangle the centroid, orthocenter and the in-center are the same point. What is the area of the triangle? i. The triangle is equilateral ii. One side is 2m long
II is enough.
11193
@vijay_chandola said:
[ii] is alone sufficient.
plz explain...Don't have answer!!!!
which property u r considering??
11194
@vbhvgupta said:
I am not getting 1st one..see if u consider area as 25 for a rectangle...it is not possible as it will be a square(5*5 same sides....that is where I am getting confused....
friend....the rectangle with area 25 and a side 5 is a square....
so both the rectangle and square will have same perimeter...

PS- all squares are rectangle....
:)
11195
@pari19O1 said:
friend....the rectangle with area 25 and a side 5 is a square....so both the rectangle and square will have same perimeter...PS- all squares are rectangle....
Confusion cleared.....thanx.....
11196
@vbhvgupta said:
plz explain...Don't have answer!!!!which property u r considering??
For a triangle the centroid, orthocenter and the in-center are the same point
==> it's an equilateral triangle.

in [ii], one side is given (=2).
=> area=sqrt(3)/4*2^2=sqrt(3)
11197
@vbhvgupta said:
1. For a triangle the centroid, orthocenter and the in-center are the same point. What is the area of the triangle? i. The triangle is equilateral ii. One side is 2m long
2 alone??
11198
If x : y = 4 : 5, p : q = 6 : 7 and u : v = 1:2 then x : v = ?
i. q:u=5:6
ii. y:u=1:3
11199
@vbhvgupta said:
If x : y = 4 : 5, p : q = 6 : 7 and u : v = 1:2 then x : v = ? i. q:u=5:6 ii. y:u=1:3
only second...4:30
11200
@vbhvgupta said:
If x : y = 4 : 5, p : q = 6 : 7 and u : v = 1:2 then x : v = ? i. q:u=5:6 ii. y:u=1:3
second constraint is required.

when y:u=1:3,
x:y:u:v= 4:5:15:30
=> x:v=4:30 or 2:15