8 Questions
| Total Attempts: 474

Questions and Answers

- 1.In the following triangles, which are congruent?
- A.
(1) and (2) only

- B.
(1) and (3) only

- C.
(2) and (3) only

- D.
All of them

- E.
None of them

- 2.A circular cone of height h units is place with its base on table. It contains water to a depth of 2/3 h. What is the ratio of the volume of water to that of the cone?
- A.
1:27

- B.
2:3

- C.
8:27

- D.
19:27

- E.
26:27

- 3.A trapizium ABCD with sides AB // DC. Diagonals AC and BD meet at point K. Which of the following statements is/are correct?(1) triangle AKD and triangle BKC have the same area.(2) triangle AKB and triangle CKD are similar.(3) angle DAK = angle CBK
- A.
(1) only

- B.
(2) only

- C.
(3) only

- D.
(1) and (2) only

- E.
(2) and (3) only

- 4.Which of the following cases can represent a pair of congruent triangles?
- A.
(1) only

- B.
(2) only

- C.
(3) only

- D.
(1) and (2) only

- E.
(1) and (3) only

- 5.ADE is a triangle. Points B and C divides the side AD in the ratio AB:BC:CD=1:2:3. Points G and F are on the side AE such that AG:GF:FE=1:2:3. If BG//CF//DE. What is the ratio of the area of the trapezium BGCF to the area of triangle ADE?
- A.
1:2

- B.
1:3

- C.
3:8

- D.
2:9

- E.
4:9

- 6.A right circular cone is placed with its base on the table. The cone is divided into 3 portions by planes parallel to the base. The height of each portion is h units and the portions are named A, B and C, A being the top most portion. The base radius of A is r units. What is the ratio(express answer in the form x:y, no spacing in between) of the volume of A to that of B?
- 7.A right circular cone is placed with its base on the table. The cone is divided into 3 portions by planes parallel to the base. The height of each portion is h units and the portions are named A, B and C, A being the top most portion. The base radius of A is r units. What is the ratio(express answer in the form x:y, no spacing in between) of the volume of B to that of C?
- 8.A right circular cone is placed with its base on the table. The cone is divided into 3 portions by planes parallel to the base. The height of each portion is h units and the portions are named A, B and C, A being the top most portion. The base radius of A is r units. What is the ratio(express answer in the form x:y, no spacing in between) of the surface area of B to that of C?