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BANKING SOLUTIONS
A C o mp l e t e s o l u ti o n f o r “S B I , R B I , I B P S - C WE , R a i l wa y, I n s u r a n c e S e c t o r , S S C , C R T & P S U ’ s ”
INE QUAL IT Y
IBPS PO Prelims
Directions ( Q. 1 to Q.155) : In each of the following questions two questions are given. You have to solve both the
questions and find out values of x and u and give answer.
(A) If
(C) If
(E) If
(B) If
(D) If
or relationship cannot be established
Q.1.
Q.2.
Q.3.
Q.4.
Q.5.
Q.6.
Q.7.
I.
I.
I. x = 5
I. x = -4
II.
II.
II.
II.
II.
II. y = 6
II. y = -8
Q.8.
I. x = √
II. y = 5
Q.9.
I. x = √
II. y = 4
Q.10.
Q.11.
Q.12.
Q.13.
Q.14.
Q.15.
Q.16.
Q.17.
Q.18.
Q.19.
I. x = √
I. x = 6
I. x = 4
I. 2x + y = 10
I. 6x-5y = 3
I. x+y = 0.5
I. x + y = 0.25
I. 4x –10y = 28
I. 9x + 13 y = 120
I. -3x + 5y = 21
II. y =
II. y = 6
II. Y = 5
II. x-y = -1
II. –x-y = 5
II. 2x-y = 4
II. 4x-y = 6
II. 10x – 25y = 70
II. 36x + 52y = 480
II. x – y = -1
Q.20.
I. x = √
I. x = √
-√
I.
I.
I. x2 + 2x -15 = 0
I. x2 + 7x + 12 = 0
I. x2 + 7x + 10 = 0
I. x2 – 6x + 8 = 0
I. x2 + 8x + 15 = 0
II. -6x + 4y = 38
Q.21.
Q.22.
Q.23.
Q.24.
Q.25.
Q.26.
Q.27.
Q.28.
II. -8x + 3y = 4
II. - 3y + 2 = 0
II. -7y +12 = 0
II. y2 – 9y + 20 =0
II. y2 + 5y + 6= 0
II. y2 + 4y +4 = 0
II. y2 – 4y + 3 = 0
II. y2 + 6y + 8 = 0
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INEQUALITY
Q.29.
Q.30.
Q.31.
Q.32.
I. x2 = 25
I. x4 = 81
I. 2x2 + 5x + 3 = 0
I. 8x2 + 2x - 3 = 0
Q.33.
I. x =
Q.34.
I. x
Q.35.
I. √
Q.36.
I. √
Q.37.
I. √
II. y2 = 64
II. y3 = 27
II. 2y2 – 5y + 3 = 0
II. 5y2 – 7y - 6 = 0
√
√ = 16
II. y =
II. √ = 2
II.
II. √ = 2
=3
√
⁄
Q.38.
I.
Q.39.
I. x -
Q.40.
I.
Q.41.
I.
Q.42.
I. x2 – 64 √ = 0
-√
= 32
√
⁄
=0
⁄
⁄
√
√
⁄
√
II. √
II.
II. y2
√
II. y = √
II. √
II. y3 - 256
√ =0
Q.43.
I.
II. y = √
Q.44.
Q.45.
I. 2x2 - 27x + 90 = 0
I. 2x2 - 23x + 65 = 0
II. y2 + 2y - 48 = 0
II. 3y2 - 29y + 70 = 0
Q.46.
Q.47.
Q.48.
Q.49.
Q.50.
Q.51.
Q.52.
Q.53.
Q.54.
Q.55.
Q.56.
Q.57.
I. x = √
I. 8x2 + 31x + 21 = 0
I. 15x2 + 68x + 77 = 0
I. 21x2 - 122x + 165 = 0
I. 7x + 4y = 0
I. 5x2 - 87x + 378 = 0
I. x2 - 5x + 6 = 0
I. 14x2 - 37x + 24 = 0
I. 6x2 + 51x + 105 = 0
I. 2x2 + x - 1 = 0
I. x2 + x - 20 = 0
I. 4x2 - 43x + 105 = 0
II. 2y2 - 9y - 56 = 0
II. 5y2 + 11y - 36 = 0
II. 3y2 + 29y +68 = 0
II. 3y2 - 2y - 33 = 0
II. 5x + 3y = 0
II. 3y2 - 49y + 200 = 0
II. 2y2 - 15y + 27 = 0
II. 28y2 - 53y + 24 = 0
II. 2y2 + 25y + 78 = 0
II. 2y2 - 3y + 1 = 0
II. 2y2 - 19y + 45 = 0
II. 7y2 - 29y + 30 = 0
Q.58.
Q.59.
Q.60.
Q.61.
I. x = √
I. 15x2 - 19x + 6 = 0
I. x2 - 7x + 12 = 0
I. 3x2 - 20x + 32 = 0
II. 2y2 - 54y + 364 = 0
II. 6y2 - 5y + 1 = 0
II. y2 - 12y +32 = 0
II. 2y2 - 19y + 44 = 0
Q.62.
I. 676x2 - 1 = 0
II. y =
Q.63.
Q.64.
Q.65.
Q.66.
Q.67.
I. x2 = 7x
I. x2 + 12x + 36 = 0
I. 2x2 - 3x - 35 = 0
I. 12x2 - 47x + 40 = 0
I. x2 + 3x - 28 = 0
II. (y + 7)2 = 0
II. y2 + 15y + 56 = 0
II. y2 - 7y + 6 = 0
II. 4y2 + 3y - 10 = 0
II. y2 - 11y + 28 = 0
Q.68.
I. x =
Q.69.
I. x2 + 6x - 7 = 0
II. 41y + 17 = 140
Q.70.
Q.71.
I. = √
I. x2 - 8x + 15 = 0
II. y2 = 169
II. 2y2 - 21y + 55 = 0
√
√
√
⁄
√
II. 3y2 + y - 2 = 0
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INEQUALITY
Q.72.
I. x3
13 = x2 247
Q.73.
I.
Q.74.
Q.75.
Q.76.
I. √
√
2
I. x – 19x + 84 = 0
I. x3 – 468 = 1729
Q.77.
I.
Q.78.
I. √
Q.79.
I.
-
⁄
√
+
⁄
=
⁄
⁄
14 = 294
II. y3 + 783 = 999
⁄
II. √
=0
2
II. y – 25y + 156 = 0
II. y2 - 1733 + 1564 = 0
⁄
II. y5 -
√
√
⁄
II.
0
II. √
√
II. √
√
√
√
√
√
⁄
3
Q.80.
I. √
Q.81.
Q.82.
Q.83.
I. √
√
I. x2 - 3x + 2 = 0
I. 6x2 - 5x + 1 = 0
Q.84.
I.
Q.85.
I.
Q.86.
I.
Q.87.
I. 5
Q.88.
I. x3/4
Q.89.
Q.90.
I. √
√
2
I. (15) + 504 =
II. √
=0
3
3
II. 13y - 19y = -162
Q.91.
I.
II. y3 + 4498 = 5454 -444
Q.92.
I.√
Q.93.
I. √
Q.94.
Q.95.
I. 821x2 – 757x2 = 256
I. (6x2 + 17) – (3x2 + 20) = 0
Q.96.
Q.97.
I. 2x2 – (4 + √
I. 4x + 3y =
Q.98.
Q.99.
Q.100.
I.
√
I. x2 - 5x + 6 = 0
I. y2 – x2 = 32
Q.101.
I. √
Q.102.
Q.103.
Q.104.
Q.105.
Q.106.
I. x = √
I. x2 + 9x + 20 = 0
I. x2 + 29x = -210
I. x2 + 28x + 192 = 0
I. x2 + 8x + 15 = 0
II. y = √
II. y2 + 5y + 6 = 0
II. y2 + 28y = -195
II. y2 + 16y + 48 = 0
II. y2 + 11y + 30 = 0
Q.107.
Q.108.
Q.109.
I. x = √
I. x2 + 17x + 72 = 0
I. x2 + 12x + 27 = 0
II. y= √
II. y2 + 15y + 56 = 0
II. y2 + 11y + 30 = 0
Q.110.
I.
II. 24.1 - y = 19.6
Q.111.
Q.112.
I. 2x2 + x - 1 = 0
I. 16x2 = 1
II. 12y2 - 17y + 6 = 0
II. 3y2 + 7y + 2 = 0
√
II. y -
√
-
√
II. y2 + 112 = 473
II. y2 - 5y + 6 = 0
II. 6y2 + 5y + 1 = 0
⁄
=
=
√
=0
II. y4 -
√
II. √
⁄
=0
√
√
√
II. (729)1/3y + 1163.5 = 1231
√
0
II. 6
II. y6/5
36 = 48
⁄
√
√
II. y3 -
√
√
√
7 = 1008
⁄
II. y2 + 409 = 473
√
)x + 2 √
√
⁄
=0
II. √
II. (5y2 – 12) – (9y2 - 16) = 0
=0
II. 10y2 – (18 + 5√ ) y + 9 √
II. 6x – 5y = (484)1/2
=0
II.
II. y2 – 9x + 20 = 0
II. y-x = 2
II. y2 - 7 = 0
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INEQUALITY
Q.113.
Q.114.
Q.115.
Q.116.
Q.117.
Q.118.
Q.119.
I. x2 + 2x + 1 = 0
I. x3 - 371 = 629
I. 2x2 + 11x + 12 = 0
I. x2 + 15x + 56 = 0
I. x2 + 12x + 32 = 0
I. x2 - 7x + 12 = 0
I. 2x2 + 11x + 14 = 0
II. y2 = 4
II. y3 - 543 = 788
II. 5y2 + 27y + 10 = 0
II. y2 - 23y + 132 = 0
II. y2 + 17y + 72 = 0
II. y2 + y - 12 = 0
II. 4y2 + 12y + 9 = 0
Q.120.
Q.121.
I. x2 - 32 = 112
I. x2 – 16 = 0
II. y – √
II. y2 - 9y + 20 = 0
Q.122.
I.
Q.123.
I. 9x – 15.45 = 54.55 +4x
√
II. y2 -
√
√
√
√
II. √
√
⁄
3
Q.124.
I. √
Q.125.
2
I. x + x -12 = 0
Q.126.
I. √
Q.127.
I. x2 - √
Q.128.
I. √
Q.129.
I. x2 -
Q.130.
I. x = √
Q.131.
2
I. x + 19x + 18 = 0
II. y = √
II. y = √
Q.132.
Q.133.
Q.134.
I. x = √
I. x2 + 10x - 144 = 0
I. x2 + 7x + 12 = 0
II. y2 - 43y + 462 = 0
II. y2 - 26y + 144 = 0
II. y2 + 15y - 54 = 0
Q.135.
I. x2 -9x = 0
II. y - √
II. y -
√
√
√
=0
2
II. y - 5y + 6 = 0
√
II. y2 + 112 = 473
II. (y)7/3
√
√
√
2
II. y2 - 640 = 321
II.
=√
√
√
=0
2
Q.136.
Q.137.
Q.138.
Q.139.
Q.140.
Q.141.
Q.142.
Q.143.
I. x = √
I. 8x2 + 31x + 21 = 0
I. 15x2 + 68x + 77 = 0
I. 21x2 - 122x + 165 = 0
I. 5x2 - 29x + 36 = 0
I. 7x2 - 54x + 99 = 0
I. 20x2 - 71x + 63 = 0
I. 4x2 + 68x + 289 = 0
II. 2y - 9y -56 = 0
II. 5y2 + 11y -36 = 0
II. 3y2 +29y + 68 = 0
II. 3y2 - 2y – 33 = 0
II. 10y2 - 3y - 27 = 0
II. 4y2 - 16y + 15 = 0
II. 7y2 - 26y + 24 = 0
II. 9y2 + 168y + 784 = 0
Q.144.
Q.145.
I. x = √
I. 71x + 13y - 278 = 0
II. y2 = 8y
II. 37x - 17y = 26
Q.146.
I. x =
Q.147.
I. x2 = 1369
II. y2 = √
Q.148.
I. x2 = √
II. y2 - 45y = 0
Q.149.
II. y2 = 29241
Q.150.
Q.151.
Q.152.
I. x = √
I. 4x – 3y = 19
I. x2 + 5x + 6 = 0
I. x2 - 10x + 24 = 0
Q.153.
Q.154.
Q.155.
I. (x)2 =961
I. x2 - 72 = x
I. x2 - 463 = 321
II. y = √
II. y2 = 64
II. y2 - 421 =308
√
√
II. 5y2 = 94
II. y = √
II. y2 + 3y + 2 = 0
II. y2 - 9y +20 = 0
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INEQUALITY
Highest Level
Directions (Q. 156 to Q. 160) : In each of the following questions two questions are given. You have to solve both
the questions and find out values of x and u and give answer.
(A) If
(B) If
(C) If
(D) If
(E) If
or of none of the above relationship is established.
Q.156. I.
II.
III.
Q.157. I.
II.
III.
Q.158. I.
II.
III.
√
⁄
⁄
Q.159. I.
II.
III.
Q.160. I.
II.
III.
********************
Answer Keys
Q.1.
Q.2.
Q.3.
Q.4.
Q.5.
Q.6.
Q.7.
Q.8.
Q.9.
D
B
E
A
C
B
A
E
A
Q.10.
Q.11.
Q.12.
Q.13.
Q.14.
Q.15.
Q.16.
Q.17.
Q.18.
B
C
B
B
A
A
A
E
E
Q.19.
Q.20.
Q.21.
Q.22.
Q.23.
Q.24.
Q.25.
Q.26.
Q.27.
B
B
B
A
B
B
D
D
E
“Visit us at: www.bankingsolutionsnagpur.com”
INEQUALITY
Q.28.
Q.29.
Q.30.
Q.31.
Q.32.
Q.33.
Q.34.
Q.35.
Q.36.
Q.37.
Q.38.
Q.39.
Q.40.
Q.41.
Q.42.
Q.43.
Q.44.
Q.45.
Q.46.
Q.47.
Q.48.
Q.49.
Q.50.
Q.51.
Q.52.
Q.53.
Q.54.
Q.55.
Q.56.
Q.57.
Q.58.
Q.59.
Q.60.
Q.61.
Q.62.
Q.63.
Q.64.
Q.65.
Q.66.
Q.67.
Q.68.
Q.69.
Q.70.
Q.71.
E
E
D
B
E
D
A
B
A
B
E
E
D
B
A
B
C
C
E
E
A
E
B
A
D
C
A
D
B
A
D
A
D
D
B
A
A
E
C
D
C
B
C
D
Q.72.
Q.73.
Q.74.
Q.75.
Q.76.
Q.77.
Q.78.
Q.79.
Q.80.
Q.81.
Q.82.
Q.83.
Q.84.
Q.85.
Q.86.
Q.87.
Q.88.
Q.89.
Q.90.
Q.91.
Q.92.
Q.93.
Q.94.
Q.95.
Q.96.
Q.97.
Q.98.
Q.99.
Q.100.
Q.101.
Q.102.
Q.103.
Q.104.
Q.105.
Q.106.
Q.107.
Q.108.
Q.109.
Q.110.
Q.111.
Q.112.
Q.113.
Q.114.
Q.115.
B
E
B
D
C
A
A
A
C
E
D
A
E
A
B
D
C
A
D
B
B
E
D
E
C
E
E
B
B
C
E
B
E
D
C
C
D
E
A
B
A
E
B
E
Q.116.
Q.117.
Q.118.
Q.119.
Q.120.
Q.121.
Q.122.
Q.123.
Q.124.
Q.125.
Q.126.
Q.127.
Q.128.
Q.129.
Q.130.
Q.131.
Q.132.
Q.133.
Q.134.
Q.135.
Q.136.
Q.137.
Q.138.
Q.139.
Q.140.
Q.141.
Q.142.
Q.143.
Q.144.
Q.145.
Q.146.
Q.147.
Q.148.
Q.149.
Q.150.
Q.151.
Q.152.
Q.153.
Q.154.
Q.155.
B
C
C
B
E
D
E
E
E
E
C
D
C
B
E
B
A
D
E
D
E
E
B
E
C
A
E
A
D
B
E
D
E
C
B
D
C
E
C
E
Highest Level
Q.156.
Q.157.
Q.158.
A
C
B
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INEQUALITY
Q.159.
Q.160.
D
E
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