**Dear maths lovers, Let your practice begins in minuteness but ends in magnificence.It is impossible to study maths properly by just reading and listening. So, practise, practise & more practise. For that, we are providing here Quant Quiz of 15 questions on Geometry, in accordance with the syllabus of SSC CGL.We have also provided Study Notes on all the topics.**

**Q1. A solid wooden toy in the shape of a right circular cone is mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.**

(a) 104 cm

^{3}(b) 162 cm

^{3}(c) 427 cm

^{3 }(d) 266 cm

^{3}

**Q2. AB is a chord of a circle of radius 14 cm. The chord subtends a right angle at the centre of the circle. Find the area of the minor segment.**

(a) 98 sq cm

(b) 56 sq cm

(c) 112 sq cm

(d) None of these

**Q3. A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.**

(a) 1: 2

(b) 2: 1

(c) 3: 1

(d) None of these

**Q4. In the given circle, AC is the diameter of the circle. ED is parallel to AC. ∠CBE = 65°, find ∠DEC**

(a) 35°

(b) 55°

(c) 45°

(d) 25°

**Q6. In the following figure, O is the centre of the circle and ∠ABO = 30°, find ∠ACB**.

(a) 60°

(b) 120°

(c) 75°

(d) 90°

**Q8. The diagram below represents three circular garbage cans, each of diameter 2 m. The three cans are touching as shown. Find, in metres, the perimeter of the rope encompassing the three cans.**

(a) 2π + 6

(b) 3π + 4

(c) 4π + 6

(d) 6π + 6

**Q9. O is the centre of a circle of radius 5 cm. The chord AB subtends an angle of 60° at the centre. Find the area of the shaded portion (approximate value).**

(a) 50 cm

^{2}(b) 62.78 cm

^{2}(c) 49.88 cm

^{2}(d) 67.67 cm

^{2}^{ }

**Q11. Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the side of the resulting cube.**

(a) 11 cm

(b) 12 cm

(c) 13 cm

(d) 24 cm

**Q12. A silver wire when bent in the form of a square, encloses an area of 484 cm**

^{2}. Now if the same wire is bent to form a circle, the area enclosed by it would be:(a) 308 cm

^{2}(b) 196 cm

^{2}(c) 616 cm

^{2}(d) 88 cm

^{2 }**Q13. A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel?**

(a) 70 cm

(b) 135 cm

(c) 17.5 cm

(d) 35 cm

**Q14. The surface areas of two spheres are in the ratio of 1: 4. Find the ratio of their volumes.**

(a) 1: 2

(b) 1: 8

(c) 1: 4

(d) 2: 1

**Q15. A road that is 7 m wide surrounds a circular path whose circumference is 352 m. What will be the area of the road?**

(a) 2618 m

^{2}(b) 654.5 m

^{2}(c) 1309 m

^{2}(d) 5236 m

^{2}Since, SSC MTS Exam will begin on 30th April, You all need to understand the exam pattern and trick, approach to crack MTS exam, CLICK HERE to read the strategy in detail.