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- Question
Number of circles that can be drawn through three non-colinear points is
Options- A. exactly one
- B. two
- C. three
- D. more than three
- Correct Answer
- exactly one
- 1. An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1?2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:
Options- A. 100
- B. 400
- C. 200
- D. 150 Discuss
- 2. A circle has its centre at O . A tangent drawn from a point P , which is situated outside the circle, touches the circle at A. If PA = 4 cm & PO=5 cm, then the length of the radius of the circle is
Options- A. 1 cm
- B. 2 cm
- C. 3 cm
- D. 4 cm Discuss
- 3. D, E, F are the mid - points of the sides BC , CA and AB respectively of a ?ABC . Then the ratio of the areas of ?DEF and ?ABC is
Options- A. 1/2
- B. 1/4
- C. 1/8
- D. 1/16 Discuss
- 4. PT is a tangent to a circle with centre O and radius 6 cm . If PT is 8 cm then length of OP is
Options- A. 10 cm
- B. 12 cm
- C. 16 cm
- D. 9 cm Discuss
- 5. In ?ABC , DE || AC. Where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is
Options- A. 2:3
- B. 3:2
- C. 5:3
- D. 3:5 Discuss
- 6. Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is
Options- A. 7.5 cm
- B. 9 cm
- C. 8 cm
- D. 10 cm Discuss
- 7. PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is
Options- A. 3 cm
- B. 6 cm
- C. 12 cm
- D. 4.5 cm Discuss
- 8. The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by
Options- A. 20%
- B. 20.5%
- C. 62%
- D. 72.8% Discuss
- 9. Which of the following is not true for a rhombus?
Options- A. All sides are congruent
- B. Opposite sides are parallel
- C. Diagonals are equal
- D. Diagonals bisect each other at right angles Discuss
- 10. The ratio between the vertical angle and a base angle of an isosceles triangle is 4:3. The value of any one base angle is
Options- A. 18 deg
- B. 54 deg
- C. 72 deg
- D. 10 deg Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 100
Correct Answer: 3 cm
Correct Answer: 1/4
Correct Answer: 10 cm
Correct Answer: 2:3
Correct Answer: 9 cm
Correct Answer: 6 cm
Correct Answer: 72.8%
Correct Answer: Diagonals are equal
Correct Answer: 54 deg
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