Official Quant thread for CAT 2013

A line p is drawn on a sheet of paper. The sheet is then folded along another line q, which intersects p at X. If the two leaves of the folded sheet make an angle of 30 with each other and the two rays into which the original line p is converted make an angle of z with each other, what is the range of z?

@ronync said:
A line p is drawn on a sheet of paper. The sheet is then folded along another line q, which intersects p at X. If the two leaves of the folded sheet make an angle of 30 with each other and the two rays into which the original line p is converted make an angle of z with each other, what is the range of z?
The statement is little confusing
@ronync said:
A line p is drawn on a sheet of paper. The sheet is then folded along another line q, which intersects p at X. If the two leaves of the folded sheet make an angle of 30 with each other and the two rays into which the original line p is converted make an angle of z with each other, what is the range of z?
15 derees??
Q. Point X is randomly selected on a square of length L. M is the midpoint of side AB. whats the probability that XM> L ?
@Angadbir said:
You are confusing the problems. They are not similar.When balls go to a person, it does not matter what order the person has the balls in.When rings go into a finger, the order matters.


Whats the OA for this questions is it 4^8??
@vrun said:
Whats the OA for this questions is it 4^8??
No, can't be. 4^8 does not order the rings.

As already pointed out by someone earlier (@Angadbir I guess?), something like 11P3 would be your answer.

regards
scrabbler

@ronync said:
A line p is drawn on a sheet of paper. The sheet is then folded along another line q, which intersects p at X. If the two leaves of the folded sheet make an angle of 30 with each other and the two rays into which the original line p is converted make an angle of z with each other, what is the range of z?
30
30 when q is perpendicular to p, close to 90 when q is almost parallel to p...

Damn, 3-D visualisation is confusing :(


regards
scrabbler

@albiesriram said:
Q. Point X is randomly selected on a square of length L. M is the midpoint of side AB. whats the probability that XM> L?
1 - (root(3)/4 + pi/6)
@catahead said:
What is the rightmost nonzero digit of (11!)^(11!)?
6
How many integers satisfy ( root(n) ˆ'root(8836) )^2
@Tusharrr said:
How many integers satisfy ( root(n) ˆ'root(8836) )^2
( sqrt(n)-sqrt(8836) -1 )( sqrt(n)-sqrt(8836) +1 )
sqrt(8836) -1sqrt(8836) +1
93
93^2

95^2-93^2 = 188*2 = 376

376-1(95^2 should not be included ) = 375??
@albiesriram (3-root(3))/4?
@ravi6389 said:
Q. Point X is randomly selected on the perimeter of a square of length L. M is the midpoint of side . whats the probability that XM> LA. root 3 /3 B. (3 - (root)3)/3 C. (3 - (root)3)/4D. (1+(root)3)/4OA is C. Plz let me know the process
it is clear that point x can't be on the same line as M for the above condition to be true.now let X be on the adjacent line at a distance x from the common point of intersection of lines including the one having M.
now,
sqrt(x^2+ (l/2)^2)> l
which means x>sqrt(3)/2*l
therefore, for XM>l
1- ((l+sqrt(3)/2*2l)/4l)
(3-sqrt(3))/4
i hope this helps.



@Tusharrr said:
How many integers satisfy ( root(n) ˆ'root(8836) )^2
375
If A, B, C are the roots of 3x続 - 3x + 1 = 0, find the value of (A + B)(B + C)(C + A).
@zuloo said:
375



@albiesriram
AM of lengths = a+b+c/3
altituted would be =2area/a , 2area/b ,2area/c

a/2area , b/2area ,c/2area are in AP

AM=a+b+c/6area

HM=6area/a+b+c

2area
If a,b and c are non-zero reals such that a+b+c=11and 1/a+1/b+1/c=0, what is the value of a^2+b^2+c^2?
@The_Loser said:
If A, B, C are the roots of 3x続 - 3x + 1 = 0, find the value of (A + B)(B + C)(C + A).
(sum-c)(sum-a)(sum-b)
sum of roots = 0
-c * -a *-b
-Product = 1/3
@Subhashdec2 said:
AM of lengths = a+b+c/3altituted would be =2area/a , 2area/b ,2area/ca/2area , b/2area ,c/2area are in APAM=a+b+c/6areaHM=6area/a+b+c2area
you tagged the wrong guy yaar.