Advanced Quant Quiz For SSC Exams

4. In an equilateral ∆ABC of side 10 cm, the side BC is trisected at D. Then, the length (in cm) of AD is 

(a) 3√7

(b) 7√3

(c) (10√7)/3

(d) (7√10)/3

5. A point O in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D. Then,

(a) OB+OD = OC+OA

(b) OB^2+OA^2 = OC^2+OD^2

(c) OB.OD = OC.OA

(d) OB^2+OD^2 = OC^2+OA^2

10. From a point on a bridge across the river, the angles of depression of the bank on opposite side of the river are 30° and 45°, respectively. If the bridge is at a height of 2.5 m from the banks. Find the width of the river (Take √3=1.732)

(a) 5.78 m

(b) 6.83 m

(c) 7.24 m

(d) 6.7 m 

Answers Key:

1. (c)

2. (d)

3. (c)

4. (c)

5. (d)

6. (d)

7. (d)

8. (b)

9. (c)

10. (b)