Directions (Q. 1–5): In each question two equations numbers I and II are provided on the basis of these you have to find the relation between x and y. Give answer :
1) if x > y
2) if x >= y
3) if x < y
4) if x <= y
5) if x = y or no relationship between x and y exists
1.
I. 7x² + 2x – 120 = 0
II. y² – 11y + 28 = 0
2.
I. x² + 7x – 8 = 0
II. y² + 14y + 49 = 0
3.
I. 35x² – 53x + 20 = 0
II. 56y² – 97y + 42 = 0
4.
I. x² = 7x
II. y² + 8y + 16 = 0
5.
I. 7x + 4y = 73
II. 13x – 6y = 55
Directions (Q. 6 –10): What value should come in the place of question mark (?) in the following number series?
6. 2, 17, 76, 415, 2950, ?
1) 26605
2) 27115
3) 28475
4) 29325
5) 30015
7. 4, 17, 62, 261, 1320,?
1) 7213
2) 7445
3) 7625
4) 7878
5) 7937
8. 2304, 2288, 2207, 1951, 1326, ?
1) 720
2) 410
3) 280
4) 130
5) 30
9. 7240, 6640, 6134, 5714, 5372,?
1) 5100
2) 5210
3) 5240
4) 5170
5) 5110
10. 347, 737, 1343, 2213, 3395, ?
1) 4518
2) 4734
3) 4937
4) 5107
5) 5318
Answers:
1. 4
2. 5
3. 3
4. 1
5. 1
6. 1
The series is :
2 × 1 + 15 = 17
17 × 3 + 25 = 76
76 × 5 + 35 = 415
415 × 7 + 45 = 2950
2950 × 9 + 55 = 26605
7. 5
The series is:
4 × 2 + 9 = 17
17 × 3 + 11 = 62
62 × 4 + 13 = 261
261 × 5 + 15 = 1320
1320 × 6 + 17 = 7937
8. 5
The series is:
2304 – 24 = 2288
2288 – 34 = 2207
2207 – 44 = 1951
1951 – 54 = 1326
1326 – 64 = 30
9. 1
The series is:
7240 – 252 + 25 = 6640
6640 – 232 + 23 = 6134
6134 – 212 + 21 = 5714
5714 – 192 + 19 = 5372
5372 – 172 + 17 = 5100
10. 3
The series is:
7^3 + 4 = 347
9^3 + 8 = 737
11^3 + 12 = 1343
13^3 + 16 = 2213
15^3 + 20 = 3395
17^3 + 24 = 493
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