Topic : Geometry

Answer Key Available ? Yes

Source : Selected Questions from CAT Prep Forums. ]]>

Topic : Geometry

Answer Key Available ? Yes

Source : Selected Questions from CAT Prep Forums. ]]>

[OA: 64]

]]>[OA: 20/3]

]]>[OA: 2 : 1]

]]>[OA: √3π/8 ]

]]>a. 83°

b. 113°

c. 123°

d. 75°

e. NoT

[OA: 113]

]]>[OA : 312]

]]>AB is trisected by two points R and S ,

CD is trisected by two points P and Q ,

AP and DR intersect at E

AP and DS intersect at N

AQ and DR intersect at M

AQ and DS intersect at F

What is the area of the quadrilateral EMFN ?

[OA: (r/6)^2]

]]>[OA: 24]

]]>[OA: 36]

]]>[OA: 48.5]

]]>[OA: 100 : 21]

]]>A. 4 √3

B. 5 √ 2

C. 7

D. 7/√2

[OA: Option b]

]]>let length be x..so 1/2 * (6x) * h1= 1/2 * (1/2 * 14 * h2)..h1 is the height of the smaller trapezium...h2 is overall heght.

so (6+x)h1=7h2

now the line of legth x is divided into length 6 and 2 equal corner segments of legth (x-6)/2 each.

by similar triangles, h1/h2= (x-6)/2.

plug in the 1st eqn7/(6+x)=(x-6)/2

x^2 - 36 = 14

x = 5 root 2

[OA: 2 : √3]

]]>[OA: 10]

]]>[OA: 63]

]]>[OA: 6]

]]>[OA: 18]

]]>