Aptitude Practice Question and Answer

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:

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"

Q:

Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is 

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  • 1
    9630 cm
    Correct
    Wrong
  • 2
    9360 cm
    Correct
    Wrong
  • 3
    6930 cm
    Correct
    Wrong
  • 4
    6950 cm
    Correct
    Wrong
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Answer : 3. "6930 cm "

Q:

If b is the mean proportionate of a and c then find the value of $$ {(a-b)^{3}:(b-c)^{3}}$$ ?

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

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:

In a mixture of 25 liters, the ratio of acid to water is 4 : 1. Another 3 liters of water is added to the mixture. The ratio of acid to water in the new mixture is: 

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

Q:

The ratio of the weights of Monu and Sonu is 4 : 5 If the weight of Monu increases by 12 percent and the weight of Sonu increases by 16.5 percent, the total weight of both increases by 73.76 kg, then find the weight of both of them By what percent does it increase?

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  • 1
    12.5%
    Correct
    Wrong
  • 2
    13.5%
    Correct
    Wrong
  • 3
    14.5%
    Correct
    Wrong
  • 4
    15.5%
    Correct
    Wrong
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Answer : 3. "14.5%"

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. "$$ {100 π \ cm^{3}}$$"

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