Aptitude Practice Question and Answer

Q:

If the angle of the elevation of sun is θ and the length of the shadow of a pole of length P is S, then 

867 0

  • 1
    P=Scosθ
    Correct
    Wrong
  • 2
    P = S sinθ
    Correct
    Wrong
  • 3
    $$ P= {S\over{Cotθ}}$$
    Correct
    Wrong
  • 4
    P=S cotθ
    Correct
    Wrong
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Answer : 3. "$$ P= {S\over{Cotθ}}$$"

Q:

The ratio of the volume of right circular cylinder and a right circular cone of the same base and height will be:

864 0

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

Q:

Find the area of the shaded region if the radius of each of the circle is 1 cm.

1749 1

  • 1
    $$ 2-{π\over3}$$
    Correct
    Wrong
  • 2
    $$ \sqrt{3}-{π\over2}$$
    Correct
    Wrong
  • 3
    $$ \sqrt{3}-{π}$$
    Correct
    Wrong
  • 4
    $$ \sqrt{3}-{π\over4}$$
    Correct
    Wrong
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Answer : 1. "$$ 2-{π\over3}$$"

Q:

$$ {tan^2θ}$$ is equal to:-

877 0

  • 1
    $$ {1\over cot^2{θ}}$$
    Correct
    Wrong
  • 2
    $$ {1\over sin^2{θ}}$$
    Correct
    Wrong
  • 3
    $$ {1\over cosec^2{θ}}$$
    Correct
    Wrong
  • 4
    $$ {1\over sec^2{θ}}$$
    Correct
    Wrong
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Answer : 1. "$$ {1\over cot^2{θ}}$$"

Q:

$$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to-

915 0

  • 1
    0
    Correct
    Wrong
  • 2
    $$ \sqrt{3}$$
    Correct
    Wrong
  • 3
    $$ 1\over \sqrt{3}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ \sqrt{3}$$"

Q:

If 4tanθ=3,the  value of $$ \left({4sinθ-2cosθ\over4sinθ+2cosθ}\right) $$ is:-

1111 0

  • 1
    $$ {2\over5}$$
    Correct
    Wrong
  • 2
    $$ {1\over5}$$
    Correct
    Wrong
  • 3
    $$ {4\over5}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ {1\over5}$$"

Q:

If $$  3 ^{2x-y}=3^{x+y}=\sqrt{27}$$ then the value of y is

883 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {3\over2}$$
    Correct
    Wrong
  • 3
    $$ {1\over8}$$
    Correct
    Wrong
  • 4
    $$ {3\over4}$$
    Correct
    Wrong
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Answer : 1. "$$ {1\over2}$$"

Q:

In a ∆ABC ∠A : ∠B : ∠C  = 2 : 3 : 4 . A line CD drawn || to AB, then the ∠ACD is: 

852 0

  • 1
    80°
    Correct
    Wrong
  • 2
    20°
    Correct
    Wrong
  • 3
    40°
    Correct
    Wrong
  • 4
    60°
    Correct
    Wrong
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Answer : 3. "40° "

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