Geometry Practice Question and Answer

Q:

In a polygon, the sum of the interior angles is double the sum of the exterior angles. What is the number of sides of the polygon?

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  • 1
    4
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 3. "6"

Q:

What is the area (in cm²) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

1294 0

  • 1
    2200/7
    Correct
    Wrong
  • 2
    550/7
    Correct
    Wrong
  • 3
    275/7
    Correct
    Wrong
  • 4
    400/7
    Correct
    Wrong
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Answer : 2. "550/7"

Q:

ABC is an isosceles triangle with AB = AC. The side BA is produced to D such that AB = AD. If ∠ABC = 30°, then ∠BCD is equal to 

1293 0

  • 1
    30°
    Correct
    Wrong
  • 2
    60°
    Correct
    Wrong
  • 3
    45°
    Correct
    Wrong
  • 4
    90°
    Correct
    Wrong
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Answer : 4. "90° "

Q:

If one angle is half of its complementary angle, find that angle.

1292 0

  • 1
    30°
    Correct
    Wrong
  • 2
    60°
    Correct
    Wrong
  • 3
    180°
    Correct
    Wrong
  • 4
    120°
    Correct
    Wrong
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Answer : 2. "60°"

Q:

The number of sides in two regular polygons are in the ratio of 5 : 4. The difference between their Interior angles of the polygon is 6. Then the number of sides are 

1292 0

  • 1
    15, 12
    Correct
    Wrong
  • 2
    5, 4
    Correct
    Wrong
  • 3
    10, 8
    Correct
    Wrong
  • 4
    20, 16
    Correct
    Wrong
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Answer : 1. "15, 12 "

Q:

Two circles having radii 5 units intersect each other in such a way that each of them passes through the centre of the other. Then the length of their common chord is

1290 0

  • 1
    $$\sqrt{45}$$
    Correct
    Wrong
  • 2
    $$\sqrt{55}$$
    Correct
    Wrong
  • 3
    $$\sqrt{35}$$
    Correct
    Wrong
  • 4
    $$\sqrt{75}$$
    Correct
    Wrong
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Answer : 4. "$$\sqrt{75}$$"

Q:

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then 

1288 0

  • 1
    PQ + QR = PQR + AB
    Correct
    Wrong
  • 2
    PQ + QR = PR + 2AB
    Correct
    Wrong
  • 3
    PQR must be a right angled
    Correct
    Wrong
  • 4
    PQR must be an equilateral triangle
    Correct
    Wrong
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Answer : 4. "PQR must be an equilateral triangle "

Q:

Two equal circles of radius 4 cm intersect each other such that each passes through the center of the other. The length of the common chord is

1284 0

  • 1
    2√3 cm
    Correct
    Wrong
  • 2
    4√3 cm
    Correct
    Wrong
  • 3
    2√2 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 2. "4√3 cm "

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