CAT4MBA

Q1. In the below figure, I is the in center of triangle ABC. BC bisects angle ABD and ACD. If angle BIC is five times the angle BDC then find angle BAC?

a. 10
b. 20
c. 25
d. 30
e. 22.5

Q2. Triangle ABC is isosceles with base AC. Points P and Q are respectively on CB and AB such that AC = AP = PQ = QB. What is the measure of angle B?

Q3. Two right angled triangles ABC, DBC are on the same hypotenuse BC and on the same side of BC , AC and DB intersect at P, then AP × PC =
a. BP . PD
b. AB . AD
c. AC . PC
d. AD . PD

Q4. In a triangle ABC, D is a point of AC. E is a point on BC. Angle DBC is 30 degree and BD = sqrt(3)BE.
If ED=EC then angle ACB is
a. 45
b. 75
c. 60
d. 90

Q5. In a Δ ABC, AD is a Median and BE is Median where E lies on AD. Then the ratio of the areas of Δ ABE and Δ ABC is
a. 1: 2
b. 2 : 1
c. 4 : 1
d. 1 : 4

Q6. In a triangle PQR, PQ = 6 cms QR = 8 cms and PR = 10 cms . The length of the median bisecting the shortest side is :
a. 10 cms
b. 8.5 cms
c. 9 cms
d. None of these