PDA

View Full Version : ETS question - Geometry



neokeynesian
11-14-2004, 08:22 AM
Please see the attachment

krakow
11-14-2004, 11:25 AM
1) A 20-foot ladder leaning against a vertical wall with the base of the ladder 10 feet from the wall is pulled 2 feet farther out from the wall, causing the top of the ladder to drop x feet

Col A x

Col B 2

Answer: B


======================
let's h_1 be a distance from ground to a point where ladder sticks to the wall (just height)
let's h_2 be the same, but after ladder's movement

so x = h_1 - h_2
now, we can use Pitagorem Theorem to count heights, and get x

h_1 = sqrt(20^2 - 10^2) = 10 sqrt(3); it is approximatelly 10*1,73 = 17,3
h_2 = sqrt(20^2 - 12^2) = 16

x= h_1 - h_2 =approximatelly= 17,3 - 16 = 1,3 < 2

hence A<B (answer B)

:grad:

krakow
11-14-2004, 11:32 AM
2)

Col A

x+y

Col B

z



Answer: A

=================
considering a triangle, sum of two sides' lenghts is always bigger the other third side's lenght

so it's just x+y>z

:)

krakow
11-14-2004, 11:41 AM
PQRS is a parallelogram



3)

Col A

x

Col B

y

Answer: A


==========================
since it is parallelogram, PQ and RS are parallel,
this implies that angles QRS = QPS,
so 4y=3x,
y=3/4x, (y is fraction of x)


y<x, A>B





:grad:

krakow
11-14-2004, 11:48 AM
6) Which of the following is the product of two positive integers whose sum is 3?

a)0 b)1 c)2 d)3 e)4

Answer: C

===============================
guessing works fine.. 1+2 :)

manasi4gre
11-14-2004, 12:36 PM
hi!
These are nice questions!I went through them for my practise.
If you have any more of this kind,pls put them here.It would be quite helpful.

neokeynesian
11-15-2004, 04:28 AM
Thanks for the anwers.
I'll keep on posting the questions