Aptitude Practice Question and Answer

Q:

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

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  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

Q:

If $$ sin(θ+30^0)= {3\over \sqrt { 12} }  $$ then find cos2θ : 

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

Q:

If 3 + cos2θ= 3(cot2θ + Sin2θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?

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  • 1
    $$ {2\sqrt{3}+1\over {2}}$$
    Correct
    Wrong
  • 2
    $$ {3\sqrt{2}}$$
    Correct
    Wrong
  • 3
    $$ {3\sqrt{3}+1\over {2}}$$
    Correct
    Wrong
  • 4
    $$ {\sqrt{3}+2\over 2}$$
    Correct
    Wrong
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Answer : 1. "$$ {2\sqrt{3}+1\over {2}}$$"

Q:

A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be: 

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  • 1
    8
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    11
    Correct
    Wrong
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Answer : 2. "1 "
Explanation :

Let number (dividend) be X.

∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.

= 37 × 8 × Q + 37 × 2 + 1

= 37 (8Q + 2) + 1

Thus we see that the remainder is 1.

[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.

Hence, divide 75 by 37, the remainder is 1].

Q:

The difference between the circumferences of two circles is 110 cm and the radius of the smaller circle is 14 cm. what is the radius of the larger circle?

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  • 1
    16 cm
    Correct
    Wrong
  • 2
    21.5 cm
    Correct
    Wrong
  • 3
    22.5 cm
    Correct
    Wrong
  • 4
    42 cm
    Correct
    Wrong
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Answer : 2. "21.5 cm"

Q:

A bar graph showing the height of six mountain peaks. Study the bar graph and answer the following Questions.

How much percentage is more than Peak A From Peak F?

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  • 1
    $$ {26}{4\over13}\%$$
    Correct
    Wrong
  • 2
    $$ {26}{2\over13}\%$$
    Correct
    Wrong
  • 3
    $$ {26}{8\over13}\%$$
    Correct
    Wrong
  • 4
    16 %
    Correct
    Wrong
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Answer : 2. "$$ {26}{2\over13}\%$$"

Q:

A right triangle with sides 5 cm, 12 cm and   13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :

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  • 1
    $$ {81 π \ cm^{3}}$$
    Correct
    Wrong
  • 2
    $$ {100 π \ cm^{3}}$$
    Correct
    Wrong
  • 3
    $$ {91 π \ cm^{3}}$$
    Correct
    Wrong
  • 4
    $$ {110 π \ cm^{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {100 π \ cm^{3}}$$"

Q:

The third proportional of two numbers 9 and  24 is

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  • 1
    39
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    72
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 4. "64"

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