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Quantitative Aptitude Test - 4

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Quantitative Aptitude Test - 4
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Weekly Quiz Competition
  • Question 1
    4 / -1

    A container contains 30 liters of alcohol. 3 liters of alcohol are taken out and replaced by an equal amount of water. The same process is repeated 2 times more. How much alcohol is left in the container now?

    Solution


    Where A, R, Q, and n is the name of the product, the quantity taken out, the original quantity of the product and process repeated respectively:

  • Question 2
    4 / -1

    Solution

  • Question 3
    4 / -1

    A, B, and C can do a work in 24, 16 and 12 days respectively. How many days will it take them to complete the work, if the three of them decide to work together?

    Solution

  • Question 4
    4 / -1

    The captain of a cricket team of 11 members is 26 years old and the wicket-keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

    Solution

    Given,

    Age of the captain is 26 years and wicket keeper's age is 29 years.

    Let the average age of the whole team by x years.

    ∴ 11x - (26 + 29) = 9(x - 1)

    ⇒ 11x - 9x = 46

    ⇒ 2x = 46

    ⇒ x = 23

    So, average age of the team is 23 years.

  • Question 5
    4 / -1

    Ganesh and Bhima can complete a work in 6 days. If Ganesh alone can finish it in 10days, in how many days Bhima can complete the work?

    Solution

  • Question 6
    4 / -1

    If A = { x : x ∈ N,  0 < x < 6} and B = {x : x is a prime natural number, 0 < x < 10} Find A - B ?

    Solution

    Given:

    A = { x : x ∈ N, 0 < x < 6}

    B = {x : x is a prime natural number, 0 < x < 10}

    A = { x : x ∈ N, 0 < x < 6}

    A = {1, 2, 3, 4, 5}

    B = {x : x is a prime natural number, 0 < x < 10}

    B = {2, 3, 5, 7}

    A - B = {1, 2, 3, 4, 5} - {2, 3, 5, 7}

    = {1, 4}

    ∴ The value A - B is {1, 4}.

  • Question 7
    4 / -1

    Two numbers are in the ratio 7 : 11. If their HCF is 28, then sum of the two numbers is:

    Solution

  • Question 8
    4 / -1

    It takes 10 hours for a person to travel a distance. If he reduces his speed by 20%, then what is the percentage increase in the time taken to cover the same distance?

    Solution

  • Question 9
    4 / -1

    In the figure, ABC is a right angle triangle where F is the midpoint of side AB and D is the midpoint of side BC . What is the relation between AD, CF, and AC?

    Solution

  • Question 10
    4 / -1

    Solution

    Median of 'n' observations is the value at the central position when the data is arranged in ascending or descending order.

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