Official Quant thread for CAT 2013

@rkshtsurana said:
A trapezoid is divided into four triangles by its diagonals. Let the triangles adjacent to the parallel sides have areas x and y( i.e. opposite traingles). Find the area of the trapezoid in terms of x and y
If [(13!)^16 - (13!)^8 ] / [ (13!)^8 + (13!)^4 ] = a , what is the unit €ℒs digit of a / (13!)^4 ?

(A) 0
(B) 1
(C) 3
(D) 5
(E) 9

@rkshtsurana said:
Let N be a number in base 16,but contains only 3 zeros and 3 ones.Find the maximum number of zeros,when the number is denoted in base 2.
18zeros
@rkshtsurana unit digit 9?
@rkshtsurana said:
If [(13!)^16 - (13!)^8 ] / [ (13!)^8 + (13!)^4 ] = a , what is the unit창€ℒs digit of a / (13!)^4 ?(A) 0 (B) 1 (C) 3 (D) 5 (E) 9

[(13!)^16 - (13!)^8 ] / [ (13!)^8 + (13!)^4 ]/(13!)^4
=>[(13!)^12 - (13!)^4 ]/ [ (13!)^8 + (13!)^4 ]
=> ((13!)^8 - 1)/((13!)^4 + 1)
=>(13!)^4 - 1

so units =10-1=9

@rkshtsurana

@krum
@angel.mehra 9 is OA
ya ryt calc mistk
find the number of integral points lying on the circle x^2 + y^2 =25
@rkshtsurana said:
find the number of integral points lying on the circle x^2 + y^2 =25
12

yaar ye mts, tere :nono: ke pehle sahi kar deta warna

5,0; 0,5; -5,0; 0,-5;
4,3; 4,-3; -4,3; -4,-3;
3,4; -3,4; 3,-4; -3,-4;

@rkshtsurana

@krum 5, 0 ka set----------3, 4 ka set-----.. + and - ka combination
12 points
@krum
@krum said:
20 kaise? bas boundary na?
ryt my bad its 12..
@rkshtsurana said:
find the number of integral points lying on the circle x^2 + y^2 =25
12
@rkshtsurana
verbal ke liye kaise preparation karu?
i have started with reading newspaper and writing meainings?
jumbled sentence and paragraphs are very difficult for me?
please suggest
@IIM-A2013 said:
@rkshtsuranaverbal ke liye kaise preparation karu?i have started with reading newspaper and writing meainings?jumbled sentence and paragraphs are very difficult for me?please suggest
plz suggest me also :p
Two functions, f and g, are such that 4*{g(x)}2 – 2f(x)f(–x) = {f(x)}^2 + {f(–x)}^2. If g(4) = 20, what is the value of g(–4)?
@IIM-A2013 for VA ask someone else plz...me not dat gud in this section
@rkshtsurana
i don't know any one today only i have joined.
please anybody who reads this.suggest me
@vijay_chandola said:
Two functions, f and g, are such that 4g(x)2 – 2f(x)f(–x) = {f(x)}^2 + {f(–x)}^2. If g(4) = 20, what is the value of g(–4)?
4g(x)^2 = ( f(x) + f(-x) ) ^2

so g(-4) = 20 ?
@rkshtsurana said:
@IIM-A2013 for VA ask someone else plz...me not dat gud in this section
but u r quant expert...plz help us in dis section
@vijay_chandola said:
Two functions, f and g, are such that 4*{g(x)}2 – 2f(x)f(–x) = {f(x)}^2 + {f(–x)}^2. If g(4) = 20, what is the value of g(–4)?
koi trick hai kya ?
ya 20 hi hai?