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 = sqroot(1369)
II. y = cuberoot(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 (Q. 6 -10) : 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.
P.S. - Kindly click on the image for better view.
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%
1. 1;
x = sqroot(1369) = 37.................... (I)
y = cuberoot(29791) = 31 ................... (II)
x > y
2. 3;
Equn. (I) ×4 + equn (II) ×3
32 x – 12 y = 124
15 x + 12 y = 252
_____________
47 x = 376
4
x = 8 and from this y = 11
x < y
3. 2;
20 x^2 – 35 x – 44 x + 77 = 0
5 x (4 x – 7) – 11 (4 x – 7) = 0
(4x – 7) (5 x – 11) = 0
x = 7/4, 11/5
4 y^2 + 16 y – 7 y – 28 = 0
4 y (y + 4) – 7 (y + 4) = 0
(4 y – 7) (y + 4) = 0
y = – 4, 7/4
x >= y
4. 4;
6 x^2 + 8 x + 21 x + 28 = 0
2x (3 x + 4) + 7 (3x + 4) = 0
(3x + 4) (2 x + 7) = 0
x = -4/3, -7/2
6 y^2 + 3 y + 8 y + 4 = 0
3 y (2 y + 1) + 4 (2 y + 1) = 0
(3 y + 4) (2 y + 1) = 0
y = -4/3, -1/2
x <= y
5. 5;
x^2 + 9x – 6 x - 54 = 0
x (x + 9) –6 ( x + 9) = 0
x = 6, –9
y^2 + 11 y – 7 y – 77 = 0
y (y + 11) – 7 (y + 11) = 0
(y – 7) (y + 11) = 0
y = 7, –11
i.e. No relation between x & y
6. 2;
B male = 554400/16 * 9 = 311850
7. 1
F(Ad) = 302820/21 * 13 = 187460
8. 3
Cmale = 369900/9 * 4 = 164400
Req% = 164400/258000 * 100 = 63.72%
9. 4
Diff = 281520/17 * (11 - 6) = 16560 * 5 = 82800
10. 5
A(Fe) = 333500/23 * 11 = 159500
B(Fe) = 554400/16 * 7 = 242550
Req% = 159500/242550 * 100 = 65.76%
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