original CAT Geometry

To view this document your browser must have latest version of abode flash player.

For a clearer view Switch to full-screen mode by pressing "Toggle Full-Screen" option present at the rightmost corner at the top of iPaper screen.
CAT Geometry

by Monika Bansal

Yet to come...

ystrdy my 1 stdnt came 2 me.He ws vry frustrated cz of CAT prep.He askd;"mam, wt is d usage f geometry in CAT...mera toh dabba gol hai ismein..". Thn he showed mw d following thng..


wn I saw at d figure...i laughed lyk nythng..i said;"if u want to go 2 rectangular premises of an elite B- school...u shold not be a dabba gol circle in geometry"no doubt GEOMETRY is beloved of CAT people.so,try 2 solve as many qustions as possible...nd to make it possible i m posting all d original CAT questions f d topic...Go throuh it nd enlighten ur spirits...

question on base system

(7⁷⁷)₁₀=(x)_7⁷, with how many zeroes will x end??

greatest integer fn...

if 76 < x< 92 and 142 < x< 2003; then how many solutions are possible for the following equation:
[x/143] + [2x/91] + [3x/77] = 68x/1001
where [x] represents greatest integer less than equal to x.

base sys....

A +ve integer x; (100 < x < 150); is represented in base 2, base 3, base 4 and base 5 notation. In all the 4 cases the last digits are 1, 2, 3 and 4 respectively. What will be the last digit when x is represented in base 6??

remainders..

Let p = x²⁵-x¹³+x⁶-1 ; where x>2007.
How many remainders are possible if p is divided by 7???

base sys...

Let N=2³3⁴5⁶ , How many ordered pairs (a,b) exist if h.c.f.(a,b) = 1 & a and b are factors of N??