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Quantitative Ability Test - 5

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Quantitative Ability Test - 5
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  • Question 1
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    Solution

  • Question 2
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    The ratio of incomes of Manish and Pankaj is 11 : 7. If pankaj gets Rs. 6000 less than Manish, then what is the total income (in Rs) of Manish and Pankaj?

    Solution

    Given,

    The ratio of incomes of Manish and Pankaj is 11 : 7 and pankaj gets Rs. 6000 less than Manish.

    Let the income of Manish and Pankaj be 11x and 7x respectively.

    11x - 7x = 6000

    ⇒ 4x = 6000

    ⇒ x = 1500

    Total income of Manish and Pankaj = (11x + 7x) = 18 × 1500 = Rs. 27000

  • Question 3
    1 / -0

    The equation  always represents a circle whose centre is (-g, -f) and radius is  , then in this case, the circle is called as:

    Solution

  • Question 4
    1 / -0

    If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

    Solution

    Given

    length of a rectangle is decreased by 4 cm and the width is increased by 3 cm

    Formula used:

    Area of rectangle = (l × b) sq. unit and Area of square = (side)2 sq. unit 

    Perimeter of rectangle = 2(l + b) units

    Let the length and breadth of the rectangle be x and y 

    ⇒ Area of rectangle = (l × b) sq. unit

    ⇒ xy cm2

    ⇒ new length and breadth = (x - 4) and (y + 3)

    ⇒ (x - 4) = (y + 3)

    ⇒ x - y = 7 .....(1)

    ⇒ Area of square = (x - 4) × (y + 3)

    According to question

    ⇒ Area of rectangle = Area of square 

    ⇒ xy = (x - 4) × (y + 3)

    ⇒ 3x - 4y = 12 .....(2)

    ⇒ On solving these equation 

    ⇒ x = 16 and y = 9

    ⇒ Perimeter of rectangle = 2(l + b) units

    ⇒ 2(16 + 9)

    ⇒ 2 × 25

    ⇒ 50 cm

    ∴ perimeter of the original rectangle is 50 cm

  • Question 5
    1 / -0

    A can do a piece of work in 10 days and B can do it in 15 days. Number of days to complete the work if they work together is:

    Solution

  • Question 6
    1 / -0

    Solution

  • Question 7
    1 / -0

    A TV set is being sold for Rs. X in Delhi. A dealer went to Chandigarh and bought the TV at 20% discount (from the price of Delhi). He spends Rs. 600 on transport. Thus, he sold the set in Delhi for Rs. X making (100/7) % profit what is the value of X?

    Solution

  • Question 8
    1 / -0

    If the parabola has focus is (5, 0) and vertex is (3, 0) find its equation.

    Solution

  • Question 9
    1 / -0

    If there are 76 persons in a party and if they shake hands with each other, how many handshakes are possible

    Solution

    We have to select 2 persons out of 76 for handshakes.

  • Question 10
    1 / -0

    A amount at the simple interest at 27/2% per annum amounts to Rs 2502.50 after 4 years. Find the sum?

    Solution

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