Aptitude Practice Question and Answer

Q:

The value of 24 ÷ 4 ×(3 +3) ÷2 is:

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  • 1
    22
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    18
    Correct
    Wrong
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Answer : 4. "18"

Q:

If the angle of elevation of the Sun changes from 30 ° to 45 °, the length of the shadow of a pillar decreases by 20 meters. The height of the pillar is 

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  • 1
    10 ( √3-1 ) m
    Correct
    Wrong
  • 2
    1 ( √3 + 1 ) m
    Correct
    Wrong
  • 3
    20 ( √3-1) m
    Correct
    Wrong
  • 4
    20 (√3 + 1) m
    Correct
    Wrong
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Answer : 2. "1 ( √3 + 1 ) m"

Q:

Ajay. Vijay and Sashi can do a piece of work in 20, 40 and 60 days, respectively. In how many days can Ajay do the work if he is assisted by Vijay and Sashi on every fourth day?

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  • 1
    15 days
    Correct
    Wrong
  • 2
    $${{150\over3}}$$ days
    Correct
    Wrong
  • 3
    12 days
    Correct
    Wrong
  • 4
    $${{44\over3}}$$ days
    Correct
    Wrong
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Answer : 2. "$${{150\over3}}$$ days"

Q:

A polygon has 9 sides, what is its interior angle?

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  • 1
    140 degree
    Correct
    Wrong
  • 2
    100 degree
    Correct
    Wrong
  • 3
    120 degree
    Correct
    Wrong
  • 4
    40 degree
    Correct
    Wrong
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Answer : 1. "140 degree"

Q:

A man purchased a bedsheet for₹ 450 and sold it at a gain of 10% calculated on the selling price. The selling price of the bedsheet was 

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  • 1
    ₹ 480
    Correct
    Wrong
  • 2
    ₹500
    Correct
    Wrong
  • 3
    ₹ 460
    Correct
    Wrong
  • 4
    ₹ 475
    Correct
    Wrong
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Answer : 2. "₹500"
Explanation :

Q:

If (a + b): (b + c): (c + a) = 5: 6: 9 and a + b + c = 10. What is the value of c?

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  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    7
    Correct
    Wrong
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Answer : 2. "5"

Q:

Sanjana invested Rs. 15000 in SI at the rate of 2x% per annum for two years and the same amount is invested in CI at the same rate of interest if she received Rs.150 more interest than S.I, then find the rate of interest per annum?

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  • 1
    10 %
    Correct
    Wrong
  • 2
    14 %
    Correct
    Wrong
  • 3
    12 %
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 1. "10 %"

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.

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