Official Quant thread for CAT 2013

@pussu01
Oh you are absolutely right. Q talks about 'factors' ,I misread.
@soumitrabengeri said:
Consider the set S = {1, 2 , 3 €Ś €Ś.. 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements?(1) 3 (2) 4 (3) 6 (4) 7
FACTORS OF 999
3^3*37
number of factors=4*2=8
excluding 1=
8-1=7
@gyrodceite said:
Ques >Shyam, a fertilizer salesman, sells directly to farmers. He visits two villages A and B. Shyam starts from A, and travels 50 metres to the East, then 50 metres North-East at exactly 45째 to his earlier direction, and then another 50 metres East to reach village B. If the shortest distance between villages A and B is in the form of a sqrt( b + sqr(c))metres, find the value of a + b + c.A. 52 B. 54 C. 58D. 59E. None of the above
2root((50+25/root2)^2+(25/root2)^2)
=>2*root(25^2(2^2+1+2root2))
=>50root(5+root8)

50+5+8=63

e.none

@pussu01 said:
actually yaar i have learned so much from you guys k respect to banti hai,sam sir se seekha tha ye method yeah same general type of qnto make up for my sin a qn as well
106?
@gyrodceite said:
The length of the longest side of this park is 80m.The Mayor of the city wants to construct three paths from the corner point opposite to the longest side such that these three paths divide the longest side into four equal segments. Determine the sum of the squares of the lengths of the three paths.A. 4000 m B. 4800 m C. 5600 mD. 6400 m E. 7200 mEnjoy Solving..;
bhai is this the complete qn? i find it difficult to understand "this park?" which park? longest side fine but what is the shape of the park? you have probably taken it from a set of 3 qns and other would add info to it. if we assume it to be a rectangle which i think it must be, answer should be 5600+3shorterside^2 there must be some link that is missing in this qn posted by you about the shorter side. i am sorry if am wrong
@Anivesh90 said:
106?
yup
@gyrodceite said:
The length of the longest side of this park is 80m.The Mayor of the city wants to construct three paths from the corner point opposite to the longest side such that these three paths divide the longest side into four equal segments. Determine the sum of the squares of the lengths of the three paths.A. 4000 m B. 4800 m C. 5600 mD. 6400 m E. 7200 mEnjoy Solving..;
the qs. is incomplete.. when he copy pasted it here he forgot add one imp. line.. "A city has a park shaped as a right angled triangle. The Length....... "

5600

How many randomly assembled people are needed to have a better than 50% probability that at least 1 of them was born in a leap year?

@gyrodceite said:
Ques > Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece? A. > 8.00 feet and ≤ 8.20 feetB. > 8.21 feet and ≤ 8.40 feetC. > 8.41 feet and ≤ 8.60 feet.D. > 8.61 feet and ≤ 8.80 feetE. > 8.81 feet and ≤ 9.00 feetI guess I need to say ki OA mat batana seedhe solve kar dena..\m/and PG ke Thread should be renamed to XAT thread ..
r=30/7
=>d=60/7=8.571

so C. > 8.41 feet and ≤ 8.60 feet

ps - what a zombie question, used wolfram to solve the equations; himalaya se laye ho kya sir


@gyrodceite wats the answere of your mayor question

there are 7 people in a room.whats the poribability that 2 were born on same day of the week?

@krum said:
r=30/7=>d=60/7=8.571so C. > 8.41 feet and ‰ ¤ 8.60 feetps - what a zombie question, used wolfram to solve the equations; himalaya se laye ho kya sir
MAN :WOW: \\__o//

you have seriously replaced @chillfactor :clap:
@sauravd2001 said:
there are 7 people in a room.whats the poribability that 2 were born on same day of the week?
2160 / 7^5 ?
@gs4890 said:
MAN :WOW: \\__o// you have seriously replaced @chillfactor
, unka 1/2 bhi ho jaun to
easy one for the lazy puyz ; where is the enthu man - c'mon !!
the no. of non-negative integer solutions of the system of equations x1+x2+x3+x4=35 and x1+x2=25 is?
@gs4890 said:
easy one for the lazy puyz ; where is the enthu man - c'mon !! the no. of non-negative integer solutions of the system of equations x1+x2+x3+x4=35 and x1+x2=25 is?
x1+x2=25 =>26c1

25+x3+x4=35
=>x3+x4=10 => 11c1

26*11=286
@sauravd2001 said:
there are 7 people in a room.whats the poribability that 2 were born on same day of the week?
7c2*7c1*(6*5*4*3*2)/7^7
=>3*6!/7^5

Guys,


Ques : 3f(x)+2f(x+59/x-1) = 10x+30.
Find f(7) ?

Solution :
put x=7 in the equation, you will get
3f(7)+2f(11) = 100
put x=11 in the equation, you will get
3f(11)+2f(7) = 140

you will get two equations in f(7) and f(11)
solve the equation you will get f(7).

It's easy one na...

shaleenthegreat
@gs4890 said:
easy one for the lazy puyz ; where is the enthu man - c'mon !! the no. of non-negative integer solutions of the system of equations x1+x2+x3+x4=35 and x1+x2=25 is?
26*11=286
puys help me out with these

1.(47^47)-(13^13) is divisible by
a.7
b.9
c.10
d.4
e.none of these

2.if (N5)^2 + (N^3) + (1N) is divisible by 7 and N is non zero single digit, then what can be it's value
a.2
b.3
c.5
d.7
e.9

Please show your approach as well. thanks :D