MISSION CGL MAINS 2015 : Advanced Quant Quiz

1.AD is the median of a triangle ABC and O is the centroid such that  AO=10 cm. The length of OD in cm is 

(a) 4

(b) 5

(c) 6

(d) 8

2.In a triangle, if three altitudes are equal, then the triangle is 

(a)Obtuse 

(b) Equilateral 

(c) Right 

(d) Isosceles  Ð

3.If area of an equilateral triangle is a and height b, then value of b^2/a is: 

(a) 3

(b) 1/3

(c) √3

(d) 1/√3

4.ABC is an isosceles triangle such than AB=AC and ÐB = 350. AD is the median to the bases BC. Then BAD at the middle in the base BC. Then ÐBAD is : 

(a) 700

(b) 350

(c) 110

(d) 550

5.ABC is an isosceles triangle with AB=AC. A circle through B touching AC at the middle point intersects AB at P. Then AP : AB is: 

(a) 4 : 1 

(b) 2 : 3 

(c) 3 : 5

(d) 1 : 4

6.In an isosceles triangle, if the unequal angles, then each equal angle is 

(a) 120

(b) 60

(c) 30

(d) 90

7.Inside a triangle ABC, a straight line parallel to BC intersects AB and AC at the points P and Q respectively. If AB=3 PB, then PQ : BC is 

(a) 1 : 3

(b) 3 : 4

(c) 1 : 2

(d) 2 : 3

8.In a triangle ABC, AB = AC, ÐBAC = 400. Then the external angle at B is: 

(a) 90

(b) 70

(c) 110

(d) 80

9.If the circumcenter of a triangle lies outside it, then the triangle is 

(a)Equilateral 

(b) Acute angled 

(c) Right angled 

(d) Obtuse angled 

10.In Triangle ABC, ÐBAC=900 and AB=1/2 BC. Then the measure of ÐACB is: 

(a)600

(b) 300

(c) 450

(d) 150

Answers Key:

1.b

2.d

3.a

4.d

5.b

6.b

7.b

8.c

9.d

10.d