Quant Quiz

Quant Quiz

Direction: In the following questions two equations numbered (I) and (II) are given. 

You have to solve both the equations and give answer :

1) If x > y 
2) If x ≥ y 
3) If x < y 
4) If x ≤ y
5) If x = y or the relationship can't be established.

1.
I. x = sq root(1369)
II. y = cube root(29791)


2.
I. 8x - 3y = 31
II. 5x + 4y = 84

3.
I. 20x^2 - 79x + 77 = 0
II. 4y^2 + 9y - 28 = 0

4.
I. 6x^2 + 29x + 28 = 0
II. 6y^2 + 11y + 4 = 0

5.
I. x^2 + 3x - 54 = 0
II. y^2 + 4y - 77 = 0

Direction: Following table shows the population of six different cities, 

ratio of male and female among them and ratio of adult and minor among them. 

Answer given questions based on this table.

6.What is the total male population of city - B ?
1) 307420
2) 311850
3) 322450
4) 336280
5) None of these

7.What is the total adult population of city F ?
1) 187460
2) 173420
3) 184380
4) 178610
5) None of these

8. Total male population of city - C is approximately what percentage of total population of city-D ?
1) 57.8%
2) 61.4%
3) 63.7%
4) 65%
5) 67.5%

9.What is the difference between total number of adult and total number of minor of city - E ?
1) 76450
2) 80410
3) 81380
4) 82800
5) 83500

10. Total number of female of city-A is approximately what percentage of total number of female of city-B ?
1) 48.48%
2) 51.84%
3) 57.65%
4) 61.48%
5) 65.76%



Answers:
1.
x = sq root(1369) = 37
y = cube root(29791) = 31
x > y

2. 3
Eq. I * 4 + Eq. II * 3
32x - 12y = 124
15x + 12y = 252
47x = 376
x = 8 & y = 11
x < y

3. 2
20x^2 - 35x - 44x + 77 = 0
5x(4x - 7) - 11(4x -7) = 0
(4x-7)(5x-11)=0
x = 7/4, 11/5

4y^2 + 16y - 7y - 28 = 0
4y (y + 4) - 7(y + 4)= 0
(4y - 7)(y + 4) = 0
y= -4, 7/4

4. 4
6x^2 + 8x + 21x + 28 = 0
2x(3x + 4) + 7(3x + 4) = 0
(3x + 4)(2x + 7) = 0
x = -4/3, -7/2

6y^2 + 3y + 8y + 4 = 0
6y(2y + 1) + 4(2y + 1) = 0
(3y+4)(2y+1) = 0
y = -4/3, -1/2

5. 5
x^2 + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
x = 6, -9

y^2 + 11y - 7y - 77 = 0
y(y + 11) - 7(y + 11) = 0
(y - 7)(y + 11) = 0
y = 7, -11

6. 2
Bmale = 554400/16 * 9 = 311850

7. 1
Fad = 302820/21 * 13 = 187460

8. 3
Cmale = 369900/9 * 4 = 164400
Req% = 164400/258000 * 100 = 63.72%

9. Diff = 281520/17 * (11-6)
= 16560 * 5 = 82800

10. Afe = 333500/23 * 11 = 159500
Bfe = 554400/16 * 7 = 242550

Req% = 159500/242550 * 100 = 65.759 = 65.76% approx