# Race IBPS Clerk 2015- Practice Aptitude Questions (Inequality) with Solutions Set-38

Dear Readers, Important Practice Aptitude Questions for Upcoming IBPS Clerk V Exam was given here with solutions. Aspirants those who are preparing for the examination can use this.
Directions ( 1-5 ): In the given questions, two equations numbered â…  and â…¡ are given. Solve both the equations and mark the appropriate answer.
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1).â… . 6x+5y=25Â Â Â Â Â Â Â Â Â Â â…¡.8x-7y=6
2).â… .12xÂ²+17x-40=0Â Â â…¡.12yÂ²-5y-25=0
3).â… .5xÂ²+4âˆš10x+8=0Â â…¡.yÂ²-22y+121=0
4).â… .xÂ²+x-30=0Â Â Â Â Â Â Â Â Â Â â…¡.yÂ²-12y+35=0
5).â… .xÂ²-20x+99=0Â Â Â Â Â Â â…¡.2xÂ²-23y+56=0

Directions (Q.6-10): In the given questions two equations numbered â…  and â…¡ are given. You have to solve both the equations and mark the appropriate answer.
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6).â… . 3xÂ²+6x-9=0Â Â Â Â Â Â Â Â Â â…¡.2yÂ²-7y+3=0
7).â… .3x2+14x +15=0Â Â Â â…¡.4y2+16y+15=0
8).â… .2x2+17x +36=0Â Â Â Â â…¡.2y2+11y+14=0
9).â… .4x2-7x-2=0Â Â Â Â Â Â Â Â Â Â Â â…¡.6y2+11x+4=0
10).â… .5x2+16x +12=0Â Â Â â…¡.3yÂ²+32y+45=0
1). a) 2). e) 3). c) 4). d) 5).a ) 6).c ) 7). c) 8). b) 9).a ) 10). c)
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Solutions:
1).â… . 6x+5y=25 â€¦(â…°)
â…¡. 8x-7y=6 â€¦(â…±)
Solving (â…°) and (â…±), we get
Â Â Â Â Â Â Â Â Â  6x+5y=25 â€¦(â…°)Ã—7
Â Â Â Â Â Â Â Â Â 8x-7y =6Â  â€¦(â…±)Ã—5
Â Â Â Â Â Â Â Â Â 42x+35y=175
Â Â Â Â Â Â 40x-35y=30Â Â Â Â
82x=205
âˆ´ x=205/80=2.5
âˆ´ y= (25-15)/5=2
Hence x>y
2).â… . 12xÂ²+32x-15x-40
Or, (3x+8) (4x-5) =0
Or, x=-8/3, 5/4
â…¡. 12yÂ²+15y-20y-25=0
Or, (3y-5) (4y+5) =0
Or, y=5/3, -5/4
Relationship between x and y canâ€™t be determined.
3).â… . 5xÂ² + 2 Ã— âˆš5xÂ  Ã— âˆš8 + 8=0
Or, (âˆš5x+âˆš8)Â²=0
Or, x=-âˆš8/âˆš5
â…¡. yÂ²-22y+121=0
Or, (y-11)Â² =0
Or, y=11
Hence x
4).â… . xÂ²+6x-5x-30=0
Or, (x-5) (x+6) =0
Or, x=5, -6
â…¡. yÂ² -7y-5y+35=0
Or, (y-5) (y-7) =0
Or, y=5, 7
Hence x<= y
5).â… . xÂ²-11x-9x+99=0
Or, (x-9) (x-11) =0
âˆ´ x=9, 11
â…¡. 2yÂ² -16y-7y+56=0
Or, (y-8) (2y-7) =0
âˆ´ y=8, 7/2
Hence x>y
6).â… . 3xÂ²+6x-9=0
Or, 3xÂ²+9x-3x-9=0
Or, 3x(x+3) -3(x+3) =0
Or, (3x-3) (x+3) =0
âˆ´ x=+1, -3
â…¡. 2yÂ²-7y+3=0
Or, 2yÂ²-6y-y+3=0
Or, 2y(y-3) -1(y-3) =0
Or, (2y-1) (y-3) =0
âˆ´y=1/2, 3
7). â… . 3xÂ²+14x+15=0
Or, 3xÂ²+9x+5x+15=0
Or, 3x(x+3) +5(x+3) =0
Or, (3x+5) (x+3) =0
âˆ´ x=-5/3, -3
â…¡. 4yÂ²+16y+15=0
Or, 4yÂ²+10y+6y+15=0
Or, 2y (2y+5) +3y (2y+15) =0
Or, (2y+3) (2y+5) =0
âˆ´y=-3/2, -5/2
Hence relation canâ€™t be established
8). â… . 2xÂ²+17x+36=0
Or, 2xÂ²+9x+8x+36=0
Or, 2x(x+4) +9(x+4) =0
Or, (2x+9) (x+4) =0
âˆ´ x=-9/2=-4.5, -4
â…¡. 2yÂ²+11y+14=0
Or, 2yÂ²+7y+4y+14=0
Or, 2y(y+2) +7(y+2) =0
Or, (2y+7) (y+2) =0
âˆ´y=-7/2, -2
Hence x
9). â… . 4xÂ²-7x-2=0
Or, 4xÂ²-8x+x-2=0
Or, 4x(x-2) +1(x-2) =0
Or, (4x+1) (x-2) =0
âˆ´ x=-1/4, 2
â…¡.6yÂ²+11y+4=0
Or, 6yÂ²+8y+3y+4=0
Or, 3y (2y+1) +4(2y+1) =0
Or, (3y+4) (2y+1) =0
âˆ´y=-4/3, -1/2
Hence x>y
10).â… . 5xÂ²+16x+12=0
Or, 5xÂ²+10x+6x+12=0
Or, 5x(x+2) +6(x+2) =0
Or, (5x+6) (x+2) =0
âˆ´ x=-6/5, -2
â…¡. 3yÂ²+32y+45=0
Or, 3yÂ²+27y+5y+45=0
Or, 3y(y+9) +5(y+9) =0
âˆ´y=-9, -5/3
Hence no relation can be established.

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