# 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%