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:

By selling a bicycle for Rs. 2,850 a shopkeeper gain 14%. If the profit is reduced to 8 %, then the selling price will be 

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  • 1
    Rs. 2,800
    Correct
    Wrong
  • 2
    Rs. 3,000
    Correct
    Wrong
  • 3
    Rs. 2,600
    Correct
    Wrong
  • 4
    Rs. 2,700
    Correct
    Wrong
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Answer : 4. "Rs. 2,700 "

Q:

If the difference between CI and SI for 3 years at the rate of 10% is Rs 31. Find the principle.

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  • 1
    ₹ 1,000
    Correct
    Wrong
  • 2
    ₹ 1,500
    Correct
    Wrong
  • 3
    ₹2,000
    Correct
    Wrong
  • 4
    ₹ 800
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "₹ 1,000 "

Q:

A field in the shape of a trapezium whose parallel sides are 200 meter and 400-meter-long, whereas each of other two sides is 260 meter long. What is the area (in m2) of the field?

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  • 1
    72,000
    Correct
    Wrong
  • 2
    52,000
    Correct
    Wrong
  • 3
    48,000
    Correct
    Wrong
  • 4
    60,000
    Correct
    Wrong
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Answer : 1. "72,000"

Q:

If a=tanθ + 1 and b=sinθ+cosθ then find (b2-1)a=?

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  • 1
    ab
    Correct
    Wrong
  • 2
    2bsecθ
    Correct
    Wrong
  • 3
    2b
    Correct
    Wrong
  • 4
    2bsin θ
    Correct
    Wrong
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Answer : 4. "2bsin θ"

Q:

If cosec θ=1.25 then $$ {4 \ tanθ-5 \ cosθ + 1\over secθ+ 4cotθ-1}=?$$

1149 0

  • 1
    $$ {9\over 10}$$
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    $$ {10\over 11}$$
    Correct
    Wrong
  • 4
    $$ {1\over 2}$$
    Correct
    Wrong
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Answer : 3. "$$ {10\over 11}$$"

Q:

If 1.5a=0.04 b then find out the value of $$ {b-a\over b+a}$$.

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  • 1
    $$ {73\over 77}$$
    Correct
    Wrong
  • 2
    $$ {77\over 33}$$
    Correct
    Wrong
  • 3
    $$ {2\over 75}$$
    Correct
    Wrong
  • 4
    $$ {75\over 2}$$
    Correct
    Wrong
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Answer : 1. "$$ {73\over 77}$$"

Q:

A man walking at a speed of 5 km / h crosses a bridge in 15 minutes, find the length of the bridge.

1149 0

  • 1
    600 meter
    Correct
    Wrong
  • 2
    750 meter
    Correct
    Wrong
  • 3
    1000 meter
    Correct
    Wrong
  • 4
    1250 meter
    Correct
    Wrong
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Answer : 4. "1250 meter"

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