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Quardatic equation and wrong number series for sbi po prelim




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                       START QUIZ

1.
I. x2 -29x +208 = 0
II. y2 -22y +85 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

2.
I. x2 +18x +80 = 0
II. 10y2 +29y -72 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established
3.I. x2 +21x -22 = 0
II. y2 -21y +20 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established
4.I. x2 +25x +66 = 0
II. y2 -5y -14 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established

5.

I. x2 -49 = 0

II. y2 -27y +152 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. x = y or relationship cannot be established
FIND THE WRONG NUMBER 
6.37, 81, 150, 231, 331, 452
a.81
b.150
c.331
d.452
7.90, 45, 45, 64, 135, 337
a.64
b.135
c.337
d.90
8.13, 17, 25, 37, 53, 78
a.78
b.25
c.13
d.37
9.31, 39, 49, 61, 72, 91, 109
a.72
b.91
c.31
d.61
10.-1, 5, 23, 59, 119, 210
a.210
b.-1
c.119
d.23

SOLUTION

1.Correct Answer – E. x = y or relationship cannot be established
Explanation:
From equation I:
x2 -29x +208 = (x -13)(x -16)= 0
=> x = 13, 16
From equation II:
y2 -22y +85 = (y -5)(y -17) = 0
=> y = 5, 17
2.Correct Answer – A. x < y
Explanation:
From equation I:
x2 +18x +80 = (x + 8)(x + 10)= 0
=> x = -8, -10
From equation II:
10y2 +29y -72 = (5y -8)(2y + 9) = 0
=> y = 8/5, -9/2
3.Correct Answer – C. x ≤ y
Explanation:
From equation I:
x2 +21x -22 = (x + 22)(x -1)= 0
=> x = -22, 1
From equation II:
y2 -21y +20 = (y -20)(y -1) = 0
=> y = 20, 1
4.Correct Answer – A. x < y
Explanation:
From equation I:
x2 +25x +66 = (x + 22)(x + 3)= 0
=> x = -22, -3
From equation II:
y2 -5y -14 = (y -7)(y + 2) = 0
=> y = 7, -2
5.Correct Answer – A. x < y
Explanation:
From equation I:
x2 -49 = (x -7)(x + 7)= 0
=> x = 7, -7
From equation II:
y2 -27y +152 = (y -8)(y -19) = 0
=> y = 8, 19
6.The series follows the pattern
37 + 72 = 86,
86 + 82 = 150,
150 + 92 = 231,
231 + 102 = 331,
331 + 112 = 452.
Therefore, 86 should be in place of 81.
7.Correct Answer – B
The series follows the pattern:
90 × 0.5 = 45,
45 × 1 = 45,
45 × 1.5 = 67.5,
67.5 × 2 = 135,
135 × 2.5 = 337.5
Therefore, 67.5 should be in place of 64.
8.Correct Answer – A
The series follows the following pattern:
13 + (4 × 1) = 17,
17 + (4 × 2) = 25,
25 + (4 × 3) = 37,
37 + (4 × 4) = 53,
53 + (4 × 5) = 73.
Therefore, 73 should be in place of 78.
9.Correct Answer – D
The series follows the pattern:
31 + 8 = 39,
39 + 10 = 49,
49 + 12 = 61,
61 + 14 = 75,
75 + 16 = 91,
91 + 18 = 109.
Therefore, 75 should be in place of 72.
10.The series follows the pattern:
13 – 2 = 1 – 2 = -1
23 – 3 = 8 – 3 = 5
33 – 4 = 27 – 4 = 23
43 – 5 = 64 – 5 = 59
53 – 6 = 125 – 6 = 119
63 – 7 = 216 – 7 = 209
Therefore, 209 should be in place of 210.