Quant Test for IBPS PO Prelims Exam set – 10

Directions(1-5): Find the values of x and y and compare their values and choose a correct option.

  1. I.15x^2 – 16x + 4 = 0
    II.4y^2 – 19y + 12 = 0
    y >= x
    x >= y
    y > x
    x > y
    No relation
    Option C
    I.15x^2 – 16x + 4 = 0
    =>15x^2 – 10x – 6x + 4 = 0
    =>(3x-2)(5x-2) = 0
    =>x = 2/3,2/5
    II.4y^2 – 19y + 12 = 0
    =>4y^2 – 16y – 3y + 12 =0
    =>(4y-3)(y-4) = 0
    =>y = ¾,4
    y > x

     

  2. I.x^2 – 8x + 15 = 0
    II.y^2 – 13y + 42 = 0
    y >= x
    x > y
    x >= y
    y > x
    No relation
    Option D
    I.x^2 – 8x + 15 = 0
    =>x^2 – 3x – 5x + 15 = 0
    =>(x – 3)(x – 5) = 0
    =>x = 3,5
    II.y^2 – 13y + 42 = 0
    =>y^2 – 7y – 6y + 42 =0
    =>(y -7)(y – 6) = 0
    =>y = 7,6
    y > x

     

  3. I.x^2 – 20x + 96 = 0
    II.y^2 – 13y + 40 = 0
    y >= x
    No relation
    y > x
    x >= y
    x > y
    Option D
    I.x^2 – 20x + 96 = 0
    =>x^2 – 12x – 8x + 96 = 0
    =>(x-8)(x – 12) = 0
    =>x = 8,12
    II.y^2 – 13y + 40 = 0
    =>y^2 – 8y – 5y + 40 = 0
    =>(y-8)(y-5) = 0
    =>y = 8,5
    x >= y

     

  4. I.5x^2 – 27x + 10 =0
    II.y^2 – 14y + 48 = 0
    x > y
    No relation
    y > x
    y >= x
    x >= y
    Option C
    I.5x^2 – 27x + 10 =0
    =>5x^2 – 25x – 2x + 10= 0
    =>(x-5)(5x – 2) = 0
    =>x = 5,2/5
    II.y^2 – 14y + 48 = 0
    =>y^2 -8y – 6y + 48 = 0
    =>(y – 8)(y-6) = 0
    =>y = 8,6
    y > x

     

  5. I.7x + 5y = 63
    II.5x + 3y = 41
    y >= x
    x > y
    y > x
    x >= y
    No relation
    Option C
    On solving both the equations, we get
    x = 4
    y = 7
    y > x

     

  6. Directions(6-10): Answer the questions based on the following information.
    The given chart shows the expenditure and savings (in Rs.) of Suraj in different months.
    Income = Expenditure + Savings

  7. Income of Suraj in January is what percentage more or less than the expenditure of Suraj in same month?
    80%
    68%
    66%
    75%
    70%
    Option D
    Income in January = 2400+1800 = Rs.4200
    Percentage = [(4200-2400)/2400]*100 = 75%

     

  8. Find the ratio of expenditure of Suraj in March to the savings of Suraj in March.
    10:9
    1:2
    4:3
    6:5
    5:7
    Option D
    Required ratio = 3000:2500 = 6:5

     

  9. Income of Suraj in May is how much more than income of Suraj in January.
    Rs.2200
    Rs.2500
    Rs.2600
    Rs.2100
    Rs.2800
    Option E
    Income of January = 2400+1800 = Rs.4200
    Income of March = 4500+2500 = Rs.7000
    Difference = 7000 – 4200 = Rs.2800

     

  10. Income of Suraj in June is 25% more than the income of Suraj in April, and the respective ratio of expenditure to savings in June is 3:2. Find the savings of Suraj in June.
    Rs.4200
    Rs.3900
    Rs.2800
    Rs.3100
    Rs.2000
    Option C
    Income of Suraj in April = 3600+2000 = Rs.5600
    Income of Suraj in June = 5600*1.25 = Rs.7000
    Savings in June = 2/5*7000 = Rs.2800

     

  11. Find the average of the income of Suraj in February, March and May taken together.
    Rs.4000
    Rs.6100
    Rs.4500
    Rs.5800
    Rs.5000
    Option D
    Average = (5000+5400+7000)/3 = Rs.5800

     


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