Aptitude Practice Question and Answer

Q:

A works 7 hours a day at the rate of 180 per hour. B works 5 hours a day at the rate of 160 per hour. What is the ratio of daily earnings of A and B?

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  • 1
    40 : 61
    Correct
    Wrong
  • 2
    33 : 20
    Correct
    Wrong
  • 3
    20 : 30
    Correct
    Wrong
  • 4
    63 : 40
    Correct
    Wrong
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Answer : 4. "63 : 40"

Q:

The average weight of three men A, Band C is 84 kg. D joins them and the average weight of the four becomes 80 kg. If E whose weight is 3 kg more than that of D, replaces A, the average weight of B, C, D and E becomes 79 kg. The weight of A is: 

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  • 1
    65 kg .
    Correct
    Wrong
  • 2
    70 kg .
    Correct
    Wrong
  • 3
    75 kg.
    Correct
    Wrong
  • 4
    80kg .
    Correct
    Wrong
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Answer : 3. "75 kg. "

Q:

The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is:

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  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 4. "1"
Explanation :

 Put A=45 degree and we can get answer.

Q:

The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]

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  • 1
    11.11%
    Correct
    Wrong
  • 2
    12.5%
    Correct
    Wrong
  • 3
    14.16%
    Correct
    Wrong
  • 4
    13.04%
    Correct
    Wrong
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Answer : 4. "13.04%"
Explanation :

To solve this problem, let's denote:

  • Initial price of sugar = P
  • Initial quantity consumed = Q
  • Initial expenditure = PQ

After the price increases by 15%, the new price becomes 1.15P.

To keep the expenditure constant, the new quantity consumed (let's call it Q') can be calculated using the formula:

New expenditure = New price × New quantity

Setting the new expenditure equal to the initial expenditure:

PQ = (1.15P) * Q'

Now, solve for Q':

Q' = PQ / (1.15P)

Simplify:

Q' = Q / 1.15

Now, let's find the percentage decrease in consumption:

Percentage decrease = [(Q - Q') / Q] * 100

Substituting the value of Q':

Percentage decrease = [(Q - (Q / 1.15)) / Q] * 100

Percentage decrease = [(Q * (1 - 1/1.15)) / Q] * 100

Percentage decrease ≈ [(1 - 0.8696) * 100] ≈ 13.04%

Therefore, the consumption of sugar should be decreased by approximately 13.04% to keep the expenditure on the purchase of sugar the same after a 15% increase in price.

Q:

Two labour A and B are paid a total of 1000 per day . If A is paid 150 percent of what is paid to B , how much is B paid ?

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  • 1
    450
    Correct
    Wrong
  • 2
    400
    Correct
    Wrong
  • 3
    600
    Correct
    Wrong
  • 4
    500
    Correct
    Wrong
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Answer : 2. "400 "

Q:

If tanθ=1/5 then the value of Cosec2θ=?

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  • 1
    5
    Correct
    Wrong
  • 2
    $$ \sqrt{5}$$
    Correct
    Wrong
  • 3
    $$ \sqrt{6}$$
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"

Q:

Directions: Answer the questions based on the information given below:
The following line graph shows revenue and expenditure of company A for 5 years (in Lakhs):

What is the average revenue of the company over the years?

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  • 1
    1050 lakhs
    Correct
    Wrong
  • 2
    2020 lakhs
    Correct
    Wrong
  • 3
    1000 lakhs
    Correct
    Wrong
  • 4
    1010 lakhs
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 4. "1010 lakhs "

Q:

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are 

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  • 1
    15, 18
    Correct
    Wrong
  • 2
    35, 42
    Correct
    Wrong
  • 3
    10,12
    Correct
    Wrong
  • 4
    20,24
    Correct
    Wrong
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Answer : 3. "10,12 "

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