Official Quant thread for CAT 2013

|x|+|y|=16

How to find integral solutions for such questions ?

The sides of triangle ABC are a cm, b cm and c cm. The sides of triangle DEF are d cm, e cm and f cm. also,a (a + b + c) = d^2 ; b (a + b + c) = e^2 ; c (a + b + c) = f^2 ; Then triangle DEF is
a.acute b.obtuse c.right d.isosceles

Consider a series S1, such that its nth element, Tn, is defined as,

Tn = 1 + (2n+4)/n^2 +3n

What is the product of the first 100 terms of S1?



{(sin 65)/(sec 65)} +{ (cos 25)/ (cosec 65)}= ?


1
2
3
4
5

In AC=AB and angle= 72 OA and OB are the two tangents

Determine

angle AOB

Find the Last two digits of the number. ?


Q. 27^456

how ti do this...pls help.

If f(x)+f(1/x)=f(x+1/x) and f(4)=65 then find f(7)?


AB=BD and AD is the tangent to the circle. So ACD is an


Scalene triangle
Isosceles triangle
Equilateral triangle
NOT

PORS is a square with side 4find the area of shaded region. (In the figure 1 on the right hand side represents 1cm)



The square ABCD is divided into five equal parts all having same area the central part is circular and the lines AE, GC, BF and HD lie along the diagonals AC and BD of the square. If AB=22 find


1) the circumference of the central part
2) the perimeter of the part ABEF

AB is a diameter and AC is the chord of a circle such that BAC=30 the tangent at C intersects AB produced in D


Therefore what is the measure of angle BCD and BDC ?

hi puys!! can anybdy pls tell me what kind of questions from :no. systems" are being asked in cat??

Is there any way to find angle BAP or ABP ???

f(x+1) + f(x-1) = root2 * f(x). Find f(x+4)/f(x)

A sin$ + b cos$ = c. also, tan@ = b/a. find tan($ + @)

How many factors of 46410 are not div by 15?

How many non negative integer sol exist for 2x + y + z = 20

f(x,y) = ½ * (x+y) + ½ * |x - y|. There is a series: 1, -2, 3, -4, 5, -6,… which are a1, a2, a3, a4 resp.Find f(a1, f(a2, f(a3, a4)))

a^2*b^3=2^7*3^8
minimum a+b= ?

f(x,y) = ½ * (x+y) + ½ * |x - y|. There is a series: 1, -2, 3, -4, 5, -6,… which are a1, a2, a3, a4 resp.Find f(a1, f(a2, f(a3, a4)))