Mixed Quantitative Aptitude Questions Set 97

Directions(1-5): Find the relation between x and y then choose a correct option.

  1. 2x^2 – 15 = 7x
    17y = -7 – 6y^2

    y>=x
    y>x
    x>y
    x>=y
    No relationship can be established.
    Option E
    2x^2 – 10x + 3x – 15 = 0
    =>2x(x-5)+3(x-5) = 0
    => x = -3/5,5
    6y^2 + 4y+3y +7 = 0
    => 2y(3y+7)1(3y+7) = 0
    => y = -1/2,-7/3
    No relationship can be established.

     

  2. 15x^2 -11x – 12 = 0
    20y^2 – 49y + 30 =0

    x>=y
    x>y
    No relationship can be established.
    y>=x
    y>x
    Option C
    15x^2 -20x + 9x – 12 =0
    =>5x(3x-4)+3(3x-4) = 0
    => x = -3/4,4/3
    20y^2 -25y – 24y + 30 = 0
    =>5y(4y-5) – 6(4y-5) = 0
    =>y = 6/5,5/4
    No relationship can be established.

     

  3. 2x^2 – [4 + (3)^1/2]x + 2(13)^1/2 = 0
    10y^2 – [18+5(13)^1/2]y + 9(13)^1/2 = 0

    No relationship can be established.
    y>=x
    y>x
    x>=y
    x>y
    Option D
    2x^2 – 4x – (13)^1/2x + 2(13)^1/2 = 0
    => 2x(x-2) –(13)^1/2(x-2) = 0
    => x = 2,(13)^1/2/2
    10y^2 – 18y -5(13)^1/2y + 9(13)^1/2 = 0
    => 2y(5y-9)- (13)^12(5y-9) = 0
    => y = 9/5,(13)^12/2
    x>=y

     

  4. 6x^2 + 31x +35 =0
    2y^2 + 3y + 1 = 0

    x>y
    y>=x
    x>=y
    No relationship can be established.
    y>x
    Option E
    6x^2 + 21x + 10x + 35 =0
    =>3x(2x+7)+5(2x+7) = 0
    => x= -5/3,-7/2
    2y^2 + 2y + y + 1 = 0
    => 2y(y+1)+1(y+1) = 0
    =>y = -1/2, -1
    x

     

  5. 2x^2 + 9x + 10 = 0
    4y^2 + 28y + 45 = 0

    y>=x
    No relationship can be established.
    x>y
    y>x
    x>=y
    Option E
    2x^2 + 5x + 4x + 10 = 0
    => 2x(x+2)+5(x+2) = 0
    => x = -2, -5/2
    4y^2 + 18y + 10y + 45 = 0
    => 2y(2y+9) + 5 (2y+9) = 0
    => y = -5/2, -9/2
    x>=y

     

  6. Directions(6-10): Study the following pie-charts carefully and answer the questions
    given below.
    Total population of the world = 700 crore
    Number of patients = 10% of the total population

    Percentage of all the patients in various continents

    Percentage of patients of various diseases in the world


    Percentage of cancer patients in various continents

  7. What is the ratio of the total number of patients in Africa to the total number of cancer patients in Asia and North America together?
    350 : 150
    349 : 147
    300 : 140
    350 : 147
    323 : 142
    Option D
    Total number of patients in Africa
    = 70 ×25/100
    = 17.5 crore = 175000000
    Total number of cancer patients in the world = 70 ×30/100 = 21 crore
    Now, total number of cancer patients in Asia and North America = 21 ×35/100
    = 73500000
    Ratio = 175000000/73500000 = 1750/735 = 350/147
    = 350 : 147

     

  8. If the total number of patients increases by 10% every year in Europe then what is the difference between the total number of patients in Europe after 2 years and the total number of cancer patients in South America now?
    6 lakh
    4 lakh
    7 lakh
    8 lakh
    5 lakh
    Option C
    Total number of patients in Europe = 70 ×10/100
    = 7 crore
    After 2 years, the number of patients in Europe = 7 crore[1+10/100]^2
    = 7*11/100*11/10 = 8.47 = 8 crore 47 lakh
    Number of cancer patients in South America = 21 ×40/100
    = 84000000 = 8.4 crore
    Difference = 8.47 – 8.40 = 7 lakh

     

  9. If the number of hepatitis patients increases by 6% and that of heart disease ones by 22%, what will be their new ratio?
    1335 : 4757
    1212 : 4004
    1113 : 4697
    1550 : 4652
    1003 : 4527
    Option C
    Number of patients of hepatitis = 70 ×6/100
    = 42000000 = 4.2 crore
    After increase, 6% of the number of patients of hepatitis = 42000000[1+ 6/100] = 42000000 ×106/100 = 44520000 = 4.452 crore
    Number of patients of heart disease = 70 ×22/100 = 154000000 = 15.4 crore
    After 22% increase, the number of patients of heart disease = 154000000 ×122/100
    = 187880000
    Required ratio = 4452 : 18788 = 1113 : 4697

     

  10. The number of cancer patients in Australia is what per cent of the total number of patients of heart disease in the world?
    4.44%
    7.52%
    3.32%
    5.66%
    6.81%
    Option E
    Total population = 7000000000 Total number of patients in the world = 7000000000 × 10/100 = 700000000 = 70crore Now, cancer patients in the world = 70 ×30/100 = 21 crore Cancer Patients in Australia = 21 ×5/100 = 1.05 = 1 crore 5 lakh Total number of patients of heart disease in the world = 70 ×22/100 = 15.40 crore = 15 crore 40 lakh Required % 10500000/154000000*100 = 6.81%

     

  11. If the number of cancer patients in South America decreases by 25%, what is the percentage decrease in total number of cancer patients in the world?
    3%
    6%
    5%
    8%
    7%
    Option A
    Cancer patients in South America 70* 30/100* 40/100
    = 8.4 crore
    After decrease of 25%, number of patients in South America = 84000000 ×75/100
    = 63000000 = 6.3 crore
    Decrease = 84000000 – 63000000 = 21000000
    = 2.1 crore
    Percentage decrease in the number of total cancer patients in the world
    = 21000000/700000000 *100 = 3%

     


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