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

- 2x^2 – 15 = 7x

17y = -7 – 6y^2y>=xy>xx>yx>=yNo 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. - 15x^2 -11x – 12 = 0

20y^2 – 49y + 30 =0x>=yx>yNo relationship can be established.y>=xy>xOption 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. - 2x^2 – [4 + (3)^1/2]x + 2(13)^1/2 = 0

10y^2 – [18+5(13)^1/2]y + 9(13)^1/2 = 0No relationship can be established.y>=xy>xx>=yx>yOption 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 - 6x^2 + 31x +35 =0

2y^2 + 3y + 1 = 0x>yy>=xx>=yNo relationship can be established.y>xOption 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 - 2x^2 + 9x + 10 = 0

4y^2 + 28y + 45 = 0y>=xNo relationship can be established.x>yy>xx>=yOption 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 - 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 : 150349 : 147300 : 140350 : 147323 : 142Option 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 - 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 lakh4 lakh7 lakh8 lakh5 lakhOption 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 - If the number of hepatitis patients increases by 6% and that of heart disease ones by 22%, what will be their new ratio?
1335 : 47571212 : 40041113 : 46971550 : 46521003 : 4527Option 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 - 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% - 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%

**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