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Volume and Surface Area problems

  • 1. Incentre of ? ABC is I. ?ABC = 90° and ?ACB = 70°. ?AIC is

  • Options
  • A. 115°
  • B. 100°
  • C. 110°
  • D. 105°
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  • 2. The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be

  • Options
  • A. 6 cm
  • B. 6.5 cm
  • C. 8 cm
  • D. 8 .5 cm
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  • 3. Possible measures of three angles of a triangle are

  • Options
  • A. 33°, 42°, 115°
  • B. 40°, 70°, 80°
  • C. 30°, 60°, 100°
  • D. 50°, 60°, 70°
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  • 4. A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

  • Options
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 75°
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  • 5. In a triangle ABC, if ?A +?C = 140° and ?A + 3?B = 180° , then ?A is equal to

  • Options
  • A. 80°
  • B. 40°
  • C. 60°
  • D. 20°
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  • 6. If PA and PB are two tangents to a circle with centre O such that ? APB = 80°. Then ? AOP =

  • Options
  • A. 40°
  • B. 50°
  • C. 60°
  • D. 70°
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  • 7. Which of the set of three sides can't form a triangle?

  • Options
  • A. 5 cm, 6 cm, 7 cm
  • B. 5 cm, 8 cm, 15 cm
  • C. 8 cm, 15 cm, 18 cm
  • D. 6 cm, 7 cm, 11 cm
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  • 8. A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is

  • Options
  • A. 19 cm
  • B. 21 cm
  • C. 23 cm
  • D. 25 cm
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  • 9. An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its centre is

  • Options
  • A. 3°
  • B. 4°
  • C. 5°
  • D. 6°
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  • 10. Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

  • Options
  • A. 3 cm
  • B. 4 cm
  • C. 5.5 cm
  • D. 3.5 cm
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