 Directions (Q. 1-5): Two equations (I) and (II) are given in each question. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer.
1. I. 6x² – 19x + 15 = 0
II. 10y² – 29y + 21 = 0
A. if x > y
B. if x < y
C. if x ≥ y
D. if x ≤ y
E. if x = y or no relation can be established between ‘x’ and ‘y’.

2. I. 12x² + 11x – 56 = 0
II. 4y² – 15y + 14 = 0
A. if x > y
B. if x < y
C. if x ≥ y
D. if x ≤ y
E. if x = y or no relation can be established between ‘x’ and ‘y’.

3. I. 3x² + 13x + 12 = 0
II. y² + 9y + 20 = 0
A. if x > y
B. if x < y
C. if x ≥ y
D. if x ≤ y
E. if x = y or no relation can be established between ‘x’ and ‘y’.

4. I. 8x² – 15x + 7 = 0
II. 2y² – 7y + 6 = 0
A. if x > y
B. if x < y
C. if x ≥ y
D. if x ≤ y
E. if x = y or no relation can be established between ‘x’ and ‘y’.

5. I. 7x – 3y = 13
II. 5x + 4y = 40
A. if x > y
B. if x < y
C. if x ≥ y
D. if x ≤ y
E. if x = y or no relation can be established between ‘x’ and ‘y’.

Directions (Q. 6-10): What will come in place of the question mark(?) in the following number series ?
6. 3,10,32,100, ?
A. 345
B. 460
C. 308
D. 440
E. None of these

7. 5, 3, 4, ?, 38
A. 8.5
B. 6
C. 7.5
D. 8
E. None of these

8. 5, 6, ?, 57, 244
A. 21
B. 16
C. 17
D. 15
E. None of these

9. 3, 10, 21, ?, 51
A. 34
B. 32
C. 33
D. 37
E. None of these

10. 5, 11, ?, 55, 117
A. 21
B. 27
C. 23
D. 25
E. None of these

### Solution:-

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.  