Aptitude Practice Question and Answer

Q:

If 5sinθ – 4cosθ=0, 0°˂θ˂90°, then the value of $$ {5\sinθ-2\cosθ}\over {5\sinθ+3\cosθ}$$ is:

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  • 1
    $$ {3\over 8}$$
    Correct
    Wrong
  • 2
    $$ {2\over 7}$$
    Correct
    Wrong
  • 3
    $$ {5\over 7}$$
    Correct
    Wrong
  • 4
    $$ {3\over 5}$$
    Correct
    Wrong
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Answer : 2. "$$ {2\over 7}$$"

Q:

The following penalty diagram shows the 4 year exam results of the students of 10th standard. Study the diagram and answer the following questions.

State the percentage increase in the first division in the year 2003 as compared to the year 2002:

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  • 1
    16%
    Correct
    Wrong
  • 2
    $$ 16{2\over3}%$$
    Correct
    Wrong
  • 3
    45%
    Correct
    Wrong
  • 4
    55%
    Correct
    Wrong
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Answer : 2. "$$ 16{2\over3}%$$"

Q:

A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

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  • 1
    25 cm
    Correct
    Wrong
  • 2
    20 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    22 cm
    Correct
    Wrong
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Answer : 3. "24 cm"

Q:

Simplify the following expression.

 25-(4÷2)+11.5+9.5

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  • 1
    46
    Correct
    Wrong
  • 2
    47
    Correct
    Wrong
  • 3
    44
    Correct
    Wrong
  • 4
    45
    Correct
    Wrong
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Answer : 3. "44"

Q:

A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?

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  • 1
    2
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "6"
Explanation :

Here, the first divisor 192 is a multiple of second divisor 16.

∴ Required remainder

= remainder obtained by dividing 54 by 16 = 6

Q:

What equal installment of annual payment will discharge a debt which is due as ₹ 848 at the end of 4 years at 4 % per annum simple interest? 

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  • 1
    ₹ 250
    Correct
    Wrong
  • 2
    ₹ 225
    Correct
    Wrong
  • 3
    ₹ 212
    Correct
    Wrong
  • 4
    ₹ 200
    Correct
    Wrong
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Answer : 1. "₹ 250 "

Q:

Ratio of the income of A and B is 8 : 5, while expenditures is in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs. 10,000 monthly respectively, then the difference in their monthly incomes is: 

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  • 1
    52000 
    Correct
    Wrong
  • 2
    42000
    Correct
    Wrong
  • 3
    60000 
    Correct
    Wrong
  • 4
    46000
    Correct
    Wrong
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Answer : 3. "60000 "

Q:

The ratio of two numbers is 2: 3 and their L.C.M is 48.  What is the number?

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  • 1
    8, 6
    Correct
    Wrong
  • 2
    16, 24
    Correct
    Wrong
  • 3
    18, 32
    Correct
    Wrong
  • 4
    25, 28
    Correct
    Wrong
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Answer : 2. "16, 24"

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