Aptitude Practice Question and Answer

Q:

Find the forth proportional to $${ x^{2}b^{2}c^{3}}$$, $${ x^{3}bc^{4}}$$ and $${ x^{4}b^{2}c^{2}}$$.

829 0

  • 1
    $${ x^{5}bc^{3}}$$
    Correct
    Wrong
  • 2
    $${ x^{4}bc^{2}}$$
    Correct
    Wrong
  • 3
    $${ x^{5}b^{3}c^{3}}$$
    Correct
    Wrong
  • 4
    $${ x^{5}b^{2}c^{5}}$$
    Correct
    Wrong
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Answer : 1. "$${ x^{5}bc^{3}}$$"

Q:

The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle?

690 0

  • 1
    $$ {48\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {16\sqrt{3}}\ cm^{2}$$
    Correct
    Wrong
  • 3
    $$ {192\sqrt{3}}\ cm^{2}$$
    Correct
    Wrong
  • 4
    $$ {192 \ cm^{2}}$$
    Correct
    Wrong
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Answer : 3. "$$ {192\sqrt{3}}\ cm^{2}$$ "

Q:

Find the area of the largest triangle made in a semicircle of r cm radius?

772 0

  • 1
    $$ {2r \ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {r^{2} \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {2\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {1\over 2}{r^{2}}\ {cm^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {r^{2} \ cm^{2}}$$"

Q:

Find the area of the circle formed in an equilateral triangle of side 42 cm. Using (π=22/7)

803 0

  • 1
    $$ 231 \ cm^{2}$$
    Correct
    Wrong
  • 2
    $$ 462 \ cm^{2}$$
    Correct
    Wrong
  • 3
    $$ {22 \sqrt{3}}\ cm^{2}$$
    Correct
    Wrong
  • 4
    $$ 924 \ cm^{2}$$
    Correct
    Wrong
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Answer : 2. " $$ 462 \ cm^{2}$$"

Q:

The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?

943 0

  • 1
    25 meter
    Correct
    Wrong
  • 2
    37.5 meter
    Correct
    Wrong
  • 3
    50 meter
    Correct
    Wrong
  • 4
    60 meter
    Correct
    Wrong
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Answer : 3. "50 meter"

Q:

From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 meter high, the distance of point P from the foot of the tower is:

853 0

  • 1
    149 meter
    Correct
    Wrong
  • 2
    156 meter
    Correct
    Wrong
  • 3
    173 meter
    Correct
    Wrong
  • 4
    200 meter
    Correct
    Wrong
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Answer : 3. "173 meter"

Q:

How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?

778 0

  • 1
    $$ {1\over 9}$$
    Correct
    Wrong
  • 2
    $$ {2\over 9}$$
    Correct
    Wrong
  • 3
    $$ {7\over 9}$$
    Correct
    Wrong
  • 4
    $$ {8\over 9}$$
    Correct
    Wrong
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Answer : 2. "$$ {2\over 9}$$"

Q:

Two 6 cm diameter balls dipped in a 6 cm radius cylindrical vessel of water. Find the height of water in the vessel?

971 0

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

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