Official Quant thread for CAT 2013

27.

If A and B are two points in the x-y plane such that A = (2, 3) and B = (- 8, 6) and P is a point such that ÐAPB = p/2 and the area of ΔAPB is 24, then how many such points P exist in the x-y plane?

0

4

2

more than 4

Hi... Anyone has any material or link for problems on Parallel processing(passage types)??
Please share it..(either in comments or mail it to sumitkhewal@gmail.com)

I need it urgently..
Thanks in advance..

The remainder of 4^99+6^99 divided by 25 is ?





How many points with integer co-ordinates lie inside the triangle whose vertices are (0, 2), (–5, –3) and (5, –3)?





If Fb represents the number of bijective functions from F1 = { 1,2,3,4,5 } to F2 = {

6,7,8,9,0 } such that F1(1) 7 and F1(4) 8, what is the value of Fb?

A ) 54

B ) 120

C ) 5^5

D ) 78

guys i have a silly doubt...in compound interest if it says " X earns an interest of Rs 500 in the third year..." does that mean the cummulative compund interest upto the third year or just the compound interest for that year only?!
please help this is confusing me a lot!!

Is function f given by

f(x) = -x^3 + 3 x^ 2 - 2

,

a one to one function?

Plz Make it easy...

CAT mei functions se local minima ,local maxima and all ke sums aate hai kya?

appraoch pls!

A square floor area of 27*27 is to be covered with tiles of 1*1, 2*2 and 3*3 measure. How many minimum number of 1*1 tiles will be used?


Options

0,1,4,5.

Please explain somebody.

If f(x) = 4^x/(4^x+2); find the value of f(1/1999) + f(2/1999) + €Ĺš..+f(1998/1999)

a. 1998 b. 1999 c. 998 d. 999

In the number 160^4320, after how many digits from the right will you encounter the first odd digit?

two horses are tied to opposite vertices of a rectangular field of lenght and breath 6 and 6 sqrt 2 meters .if thy are tied with rope of lenght 6 meters, what is the common area that both horses can gaze??


A.6 pi - 9sqrt3


B.12 pi - 18 sqrt3


C.pi - 2 sqrt 3


D.can not be determined


dont have oa, please post solutions :/

If f(x)f(1/x) = f(x) + f(1/x) and f(3) = 28, then f(4) is:

a. 63 b. 65 c. 17 d. None of these


Q) Diff no of positive solution for x,y,z for X+Y+Z How to approach ...?

I know the no of solution for x+y+z = 10...

but what to do when there is


Da, Ha and Ma go for a picnic. Da brings 18 idlis, Ha brings 16 idlis and Ma brings 14 idlis (all idlis being identical). During the picnic, Ra, who has not brought anything to eat with her, joins them. The four friends consume idlis equally (not necessarily in one sitting). At the end, a grateful Ra hands over 96 stamps to others, who share them proportionally.


What is the correct share of stamps received by Da


If f(x) = min (3x – 1, x – 2), find the maximum value of f(x).



1)-1/2
2)-5/2
3)Infinity
4)NOTA..Approach ?

In ΔABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of the area of ΔDOF to the area of ΔDOE???????/

a 8 : 9

b 9 : 8

c 3 : 4

d 4 : 3