Quant Test for SBI PO Prelims Exam set - 06

Directions(1-5): Compare the values of x and y then choose a correct option.

1. I.x^2 –x – 210 = 0 II. y^2 + 30y + 224 = 0
   x > y
   No relation
   x >= y
   x >= y
   y > x
   Option C
   I.x^2 –x – 210 = 0 =>x^2 – 15x + 14x – 210 = 0 =>(x-15)(x+14) = 0 =>x = -14,15 II. y^2 + 30y + 224 = 0 =>y^2 + 16y + 14y + 224 = 0 =>(y+16)(y+14) = 0 =>y = -16,-14 x >= y
   
    



2. I.2x^2 – 11x + 15 = 0 II. 2y^2 = y + 10
   x >= y
   y > x
   x > y
   No relation
   x >= y
   Option A
   I.2x^2 – 11x + 15 = 0 =>2x^2 – 6x – 5x + 15 = 0 =>(2x-5)(x-3) = 0 =>x = 3,5/2 II. 2y^2 = y + 10 =>2y^2 – 5y – 4y – 10 = 0 =>(y+2)(2y-5) = 0 =>y = -2,5/2 x >= y
   
    



3. I.x^2 + 19x + 88 = 0 II. y^2 + 20y + 96 = 0
   x >= y
   x > y
   y > x
   x >= y
   No relation
   Option E
   I.x^2 + 19x + 88 = 0 =>x^2 + 11x+8x + 88 = 0 =>(x+11)(x+8) = 0 =>x = -8,-11 II. y^2 + 20y + 96 = 0 =>y^2 + 12y + 8y + 96 = 0 =>(y+8)(y+12) = 0 =>y = -8,-12 No relation
   
    



4. I.2x+5y = 42 II.11x-4y = 42
   x >= y
   x >= y
   y > x
   No relation
   Option E
   On solving both the equations, we get x = y = 6 No relation
   
    



5. I.9x + 7y = 110 II. 11x – 5y = 26
   y > x
   x > y
   x >= y
   x >= y
   No relation
   Option A
   On solving both the equations, we get y = 8 x = 6 y > x
   
    
Directions(6-10): Answer the following questions based on the following information. The table shows the data regarding the fighter planes launched by different countries in the year 2010.


6. The number of unsuccessful fighter planes launched is what percentage of the number of successful fighter planes launched by country A?
   81.91%
   72.74%
   67.81%
   77.77%
   71.61%
   Option D
   Required% = 7/9*100 = 77.77%
   
    



7. The table shows the data regarding the fighter planes launched by different countries in the year 2010.
   127
   115
   105
   110
   122
   Option B
   Average = (153+120+72)/3 = 115
   
    



8. In 2011, the number of fighter planes launched by country C is 50% more than the previous year. If the ratio of successful to unsuccessful fighter planes launched in 2011 is 17:4. Find the number of unsuccessful fighter planes launched by C in 2011.
   20
   29
   28
   36
   32
   Option D
   Number of fighter planes launched in 2011 = 126*1.5 = 189 Required number of unsuccessful fighter planes launched in 2011 = 4/21*189 = 36
   
    



9. If 25% of the fighter planes launched by A were related to defence system. Find the number of defence related fighter planes launched by A.
   68
   56
   61
   70
   74
   Option A
   Number of defence related fighter planes launched by A = 272*0.25 = 68
   
    



10. Total number of fighter planes launched by country D is how much more than the number of fighter planes launched by country E.
    89
    75
    80
    90
    93
    Option E
    Difference = 198-105 = 93