Aptitude Practice Question and Answer

Q:

Find the LCM of the fractions $${2\over 5}$$, $${3\over 7}$$ and $${4\over 9}$$

1333 0

  • 1
    12
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    36
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 1. "12 "

Q:

A sum of ₹ 3000 yields an interest of ₹ 1080 at 12% per annum simple interest in how many years ?

1333 0

  • 1
    4 Years
    Correct
    Wrong
  • 2
    3 Years
    Correct
    Wrong
  • 3
    5 years
    Correct
    Wrong
  • 4
    2½ Years
    Correct
    Wrong
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Answer : 2. "3 Years"

Q:

In a village, 70 percent of the households have a mobile. 20 percent of the households have TV and 15 percent of the families have both TV and mobile. If the total number of families is 116, then how many families have neither mobile nor TV?

1333 0

  • 1
    32
    Correct
    Wrong
  • 2
    29
    Correct
    Wrong
  • 3
    23
    Correct
    Wrong
  • 4
    24
    Correct
    Wrong
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Answer : 2. "29"

Q:

Directions: The bar graph shows the results of an annual examination in a secondary school in a certain year. Answer the following four questions based on this chart.

The class has the highest number of passed students, is 

1332 0

  • 1
    VII
    Correct
    Wrong
  • 2
    IX
    Correct
    Wrong
  • 3
    VIII
    Correct
    Wrong
  • 4
    X
    Correct
    Wrong
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Answer : 4. "X"

Q:

A boat running upstream takes 7 hours and 40 minutes to cover a certain distance while it takes 5 hours to cover the same distance downstream. What is the ratio between the speed of the current and speed of the boat respectively? 

1332 0

  • 1
    13: 4
    Correct
    Wrong
  • 2
    17: 4
    Correct
    Wrong
  • 3
    19: 4
    Correct
    Wrong
  • 4
    4: 19
    Correct
    Wrong
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Answer : 4. "4: 19 "

Q:

If b is the mean proportionate of a and c then find the value of $$ {(a-b)^{3}:(b-c)^{3}}$$ ?

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  • 1
    $$ {a^{3}:b^{3}}$$
    Correct
    Wrong
  • 2
    $$ {a^{2}:b^{2}}$$
    Correct
    Wrong
  • 3
    $$ {b^{2}:c^{2}}$$
    Correct
    Wrong
  • 4
    $$ {a^{3}:c^{3}}$$
    Correct
    Wrong
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Answer : 1. "$$ {a^{3}:b^{3}}$$"

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 speaks the truth 5 out of 7 times and B speaks truth 8 out of 9 times. What is the probability that they contradict each other in stating the same fact?

1332 0

  • 1
    $${1\over 7}$$
    Correct
    Wrong
  • 2
    $${1\over 9}$$
    Correct
    Wrong
  • 3
    $${1\over 4}$$
    Correct
    Wrong
  • 4
    $${1\over 3}$$
    Correct
    Wrong
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Answer : 4. "$${1\over 3}$$"

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