Aptitude Practice Question and Answer

Q:

A alone can do a piece of work in 15 days, while B alone can do it in 20 days. They work together for 6 days and the rest of the work is done by C in 6 days. If they get Rs 800 for the whole work, how should they divide the money?

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  • 1
    Rs. 320, Rs. 240 and Rs. 240
    Correct
    Wrong
  • 2
    Rs. 640, Rs. 280 and Rs. 260
    Correct
    Wrong
  • 3
    Rs. 320, Rs. 420 and Rs. 360
    Correct
    Wrong
  • 4
    Rs. 360, Rs. 420 and Rs. 240
    Correct
    Wrong
  • 5
    Rs. 320, Rs. 240 and Rs. 720
    Correct
    Wrong
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Answer : 1. "Rs. 320, Rs. 240 and Rs. 240"
Explanation :

Let's break down the problem step by step:

  1. A can complete the work in 15 days, so his daily work rate is 1/15 of the work per day.
  2. B can complete the work in 20 days, so his daily work rate is 1/20 of the work per day.
  3. A and B work together for 6 days. In these 6 days, their combined work rate is (1/15 + 1/20) = (4/60 + 3/60) = 7/60 of the work per day.
  4. In 6 days, they complete (6 * 7/60) = 42/60 of the work, which simplifies to 7/10 of the work.

Now, let C complete the remaining 3/10 of the work in 6 days. We can calculate C's daily work rate:

C's daily work rate = Work done by C in 6 days / 6 C's daily work rate = (3/10) / 6 C's daily work rate = 1/20 of the work per day.

Now, let's calculate the total amount earned by each worker:

  1. A's share: A worked for 6 days at a rate of 1/15 of the work per day, so he completed (6 * 1/15) = 2/5 of the work. A's share of the money is (2/5) * Rs 800 = Rs 320.

  2. B's share: B worked for 6 days at a rate of 1/20 of the work per day, so he completed (6 * 1/20) = 3/10 of the work. B's share of the money is (3/10) * Rs 800 = Rs 240.

  3. C's share: C worked for 6 days at a rate of 1/20 of the work per day, so he completed (6 * 1/20) = 3/10 of the work. C's share of the money is (3/10) * Rs 800 = Rs 240.

Now, to check if the total amount is correct, you can add up their individual shares:

Rs 320 (A) + Rs 240 (B) + Rs 240 (C) = Rs 800

So, they should divide the money as follows:

  • A gets Rs 320.
  • B gets Rs 240.
  • C gets Rs 240.

Q:

A basket contains 350 eggs. If 12% of the eggs are rotten, how many eggs are good enough to be sold?

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  • 1
    408
    Correct
    Wrong
  • 2
    310
    Correct
    Wrong
  • 3
    308
    Correct
    Wrong
  • 4
    410
    Correct
    Wrong
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Answer : 3. "308"

Q:

P is 20 percent more than Q and Q is 30 percent less than R. If P is 420, then What is the value of R?

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  • 1
    600
    Correct
    Wrong
  • 2
    500
    Correct
    Wrong
  • 3
    625
    Correct
    Wrong
  • 4
    700
    Correct
    Wrong
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Answer : 2. "500"

Q:

If tan $$ -{7π\over4}=x $$ then the value of x is : 

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

Q:

A Solid cylinder has total surface area of 462 sq.cm. Its curved surface area is one third of the total surface area. Then the radius of the cylinder is

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  • 1
    7cm
    Correct
    Wrong
  • 2
    3.5 cm
    Correct
    Wrong
  • 3
    9 cm
    Correct
    Wrong
  • 4
    11 cm
    Correct
    Wrong
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Answer : 1. "7cm"

Q:

From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is

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  • 1
    10 √ 3 m
    Correct
    Wrong
  • 2
    20 √ 3 m
    Correct
    Wrong
  • 3
    $$ {10\over √3} m $$
    Correct
    Wrong
  • 4
    $$ {20\over √3} m $$
    Correct
    Wrong
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Answer : 4. "$$ {20\over √3} m $$ "

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Answer : 2. "48 "

Q:

The greatest fraction out of $$ {2\over 5},{5\over 6},{11\over 12},and \ {7\over8}$$ is

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  • 1
    $$ {11\over 12}$$
    Correct
    Wrong
  • 2
    $$ {2\over 5}$$
    Correct
    Wrong
  • 3
    $$ {7\over 8}$$
    Correct
    Wrong
  • 4
    $$ {5\over 6}$$
    Correct
    Wrong
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Answer : 1. "$$ {11\over 12}$$"

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