**Q1. At a distance of 15 meters from the foot A of a tower AB of height 8 meters and a flagstaff BC mounted on top of the tower AB subtends the same angle. Then find the height of the flagstaff?**

**Q2. A tower subtends angle α, 2α, 3α respectively at points A, B & C all lying in a horizontal line through the foot of the tower. Then **

**Q3. Ratio in which the x-axis divides the line segment joining (3, 6) and (4, -3) is**

(a) 2 : 1

(b) 1 : 2

(c) 3 : 4

(d) 4 : 3

**Q4. If the centroid of the triangle formed by the points (a, b) (b, c) & (c, a) is at the origin, then a³ + b³ + c³ =?**

(a) 0

(b) abc

(c) 3abc

(d) -3abc

**Q5. Find the area of trapezium having the length of parallel sides as 16, 23 and length of other two sides as 24 & 25 find the area of the trapezium?**

(a) 468 sq. units

(b) 543 sq. units

(c) 453 sq. units

(d) 472 sq. units

**Q6. Let be the line y = 2x in the two dimensional plane. The points (0, 1) and lie on**

(a) same side of line

(b) opposite side of line

(c) on the line

(d) can’t be determined

**Q7. In what ratio the y-axis divides the line segment joining the points P(-4, 5) and Q(3, 7)?**

(a) 1:2

(b) 2:3

(c) 3:4

(d)4:5

**Q8. In a right angle triangle ABC having length of sides AB= 3cm, BC=4cm and CA=5cm. angle bisector of angle A, B and C cuts the sides BC, CA and AB at R, Q and P respectively. Find the area of triangle PQR? **

(a) 10/9

(b) 10/7

(c) 12/5

(d) 13/7

**Q9. Amit rows potatos in his backyard which is the shape of square. Each tree takes 1 cm². To increase his production he planted 279 more trees. Find the total no. of trees planted by him if the shape of farm remains a square?**

(a) 2207

(b) 2304

(c) 2024

(d) 2127

**Q10. A sphere of radius R is being cut by plane into two pieces at a certain distance ‘x’, from its centre such that the total area is 130% of the original area of the sphere. Find x = ?**

**Solutions:**

**Are You Preparing For SSC Exams? Register Here to get Free Study Material**

**Click here for best SSC CGL mock tests, video course, live batches, books or eBooks**