1. 2, 8, 20, 40, 70, _
A. 112
B. 120
C. 116
D. 110
E. None of these
Sol. 2 + (2*3) = 8
8 + (3*4) = 20
20 + (4*5) = 40
40 + (5*6) = 70
70 + (6*7) = 112
2. 8, 13, 28, 53, 88, _
A. 127
B. 131
C. 133
D. 129
E. None of these
Sol. 8 + (5*1) = 13
13 + (5*3) = 28
28 + (5*5) = 53
53 + (5*7) = 88
88 + (5*9) = 133
3. 4580, 2292, 1148, 576, 290, _
A. 146
B. 145
C. 148
D. 147
E. None of these
Sol. 4580/2 + 2 = 2292
2292/2 + 2 = 1148
1148/2 + 2 = 576
576/2 + 2 = 290
290/2 + 2 = 147
4. 2, 3, 11, 13, 29, _
A. 28
B. 26
C. 25
D. 31
E. None of these
Sol. 2^2 - 1 = 3
3^2 + 2 = 11
4^2 - 3 = 13
5^2 + 4 = 29
6^2 - 5 = 31
5. 3, 7, 13, 25, 31, _
A. 42
B. 43
C. 45
D. 46
E. None of these
Sol. 3 + 2^2 = 7
4 + 3^2 = 13
5 + 4^2 = 25
6 + 5^2 = 31
7 + 6^2 = 43
6. (x – 3)(x + 2) = 0
y² – 7y + 12 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Sol. (x – 2) (x + 1) = 0
x = 3, -2
y² – 7y + 12 = 0
y = 3, 4
7. (x + 3)(x + 29) = 360
480/y = [480/(y – 8)] – 3
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Sol. (x + 3)(x + 29) = 360
x = 7, -39
480/y = [480/(y – 8)] – 3
y = 40, -32
8. 2x² + x – 300 = 0
y² – 45y + 324 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Sol. 2x² + x – 300 = 0
x = 12, -12.5
y² – 45y + 324 = 0
y = 36, 9
9. x^2 – (16)^2 = (23)^2 – 56
y^1/3 – 55 + 376 = (18)^2
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Sol. x^2 – (16)^2 = (23)^2 – 56
x^2 = 729
x = ± 27
y^1/3 – 55 + 376 = (18)^2
y = 3^3 = 27
10. 3x – 2y = 10
5x – 6y = 6
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Sol. 3x – 2y = 10 — (1)
5x – 6y = 6 —(2)
From eqn (1) and (2)
x = 6; y = 4
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