Geometry Practice Question and Answer

Q:

If radius of a sphere is decreased by 48%, then by what percent does its surface area decrease?

603 0

  • 1
    82.91%
    Correct
    Wrong
  • 2
    72.96%
    Correct
    Wrong
  • 3
    78.98%
    Correct
    Wrong
  • 4
    86.26%
    Correct
    Wrong
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Answer : 2. "72.96%"

Q:

On increasing the radius of circle by 1 cm, its area is increased by 44 cm2 .The original radius of the circle is -

593 0

  • 1
    5.6 cm
    Correct
    Wrong
  • 2
    9 cm
    Correct
    Wrong
  • 3
    6 cm
    Correct
    Wrong
  • 4
    6.5 cm
    Correct
    Wrong
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Answer : 4. "6.5 cm"

Q:

A cube has sides that are 4 cm each, and the dimensions of a cuboid are 2cm x 3cm x 4cm. Find the positive difference between the volume of the cube and that of the cuboid.

593 0

  • 1

    40 cm3

    Correct
    Wrong
  • 2

    120 cm3

    Correct
    Wrong
  • 3

    20 cm3

    Correct
    Wrong
  • 4

    60 cm3

    Correct
    Wrong
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Answer : 1. "

40 cm3

"

Q:

AC is a chord of circle whose centre is at O. If B is any point on the arc AC and ∠OCA=20, then the magnitude of ∠ABC is

582 0

  • 1
    1000
    Correct
    Wrong
  • 2

    400

    Correct
    Wrong
  • 3

    1300

    Correct
    Wrong
  • 4

    1100

    Correct
    Wrong
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Answer : 4. "

1100

"

Q:

In △PQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of RQ2/(QS2+ RT2)?

574 0

  • 1
    $$3\over 4$$
    Correct
    Wrong
  • 2
    $$4\over 5$$
    Correct
    Wrong
  • 3
    $$1\over 2$$
    Correct
    Wrong
  • 4
    $$2\over 3$$
    Correct
    Wrong
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Answer : 2. "$$4\over 5$$"

Q:

In ΔPQR, PQ=QR and O is an interior point of ΔPQR such that ∠OPR=∠ORP.

Consider the following statements:

(i) ΔPOR is an isosceles triangle.

(ii) O is the centroid of ΔPQR.

(iii) ΔPQO is congruent to ΔRQO.

Which of the above statements are correct?

571 0

  • 1
    Only (i) and (ii)
    Correct
    Wrong
  • 2
    Only (i) and (iii)
    Correct
    Wrong
  • 3
    Only (ii) and (iii)
    Correct
    Wrong
  • 4
    Only (ii)
    Correct
    Wrong
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Answer : 2. "Only (i) and (iii) "

Q:

For an equilateral triangle, the ratio of the in-radius and the outer- radius is

565 0

  • 1
    1 : 2
    Correct
    Wrong
  • 2
    1 : 3
    Correct
    Wrong
  • 3
    2 : 1
    Correct
    Wrong
  • 4
    3 : 1
    Correct
    Wrong
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Answer : 1. "1 : 2"

Q:

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

548 0

  • 1
    5 cm.
    Correct
    Wrong
  • 2
    10 cm.
    Correct
    Wrong
  • 3
    20 cm.
    Correct
    Wrong
  • 4
    15 cm.
    Correct
    Wrong
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Answer : 1. "5 cm. "

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