Quant Test for IBPS PO Prelims Exam set – 10

Directions(1-5): Find the values of x and y and compare their values and choose a correct option.

1. I.15x^2 – 16x + 4 = 0
   II.4y^2 – 19y + 12 = 0
   
   y >= x
   x >= y
   y > x
   x > y
   No relation
   Option C
   I.15x^2 – 16x + 4 = 0
   =>15x^2 – 10x – 6x + 4 = 0
   =>(3x-2)(5x-2) = 0
   =>x = 2/3,2/5
   II.4y^2 – 19y + 12 = 0
   =>4y^2 – 16y – 3y + 12 =0
   =>(4y-3)(y-4) = 0
   =>y = ¾,4
   y > x
   
   
    



2. I.x^2 – 8x + 15 = 0
   II.y^2 – 13y + 42 = 0
   
   y >= x
   x > y
   x >= y
   y > x
   No relation
   Option D
   I.x^2 – 8x + 15 = 0
   =>x^2 – 3x – 5x + 15 = 0
   =>(x – 3)(x – 5) = 0
   =>x = 3,5
   II.y^2 – 13y + 42 = 0
   =>y^2 – 7y – 6y + 42 =0
   =>(y -7)(y – 6) = 0
   =>y = 7,6
   y > x
   
   
    



3. I.x^2 – 20x + 96 = 0
   II.y^2 – 13y + 40 = 0
   
   y >= x
   No relation
   y > x
   x >= y
   x > y
   Option D
   I.x^2 – 20x + 96 = 0
   =>x^2 – 12x – 8x + 96 = 0
   =>(x-8)(x – 12) = 0
   =>x = 8,12
   II.y^2 – 13y + 40 = 0
   =>y^2 – 8y – 5y + 40 = 0
   =>(y-8)(y-5) = 0
   =>y = 8,5
   x >= y
   
   
    



4. I.5x^2 – 27x + 10 =0
   II.y^2 – 14y + 48 = 0
   
   x > y
   No relation
   y > x
   y >= x
   x >= y
   Option C
   I.5x^2 – 27x + 10 =0
   =>5x^2 – 25x – 2x + 10= 0
   =>(x-5)(5x - 2) = 0
   =>x = 5,2/5
   II.y^2 – 14y + 48 = 0
   =>y^2 -8y – 6y + 48 = 0
   =>(y - 8)(y-6) = 0
   =>y = 8,6
   y > x
   
   
    



5. I.7x + 5y = 63
   II.5x + 3y = 41
   
   y >= x
   x > y
   y > x
   x >= y
   No relation
   Option C
   On solving both the equations, we get
   x = 4
   y = 7
   y > x
   
   
    
Directions(6-10): Answer the questions based on the following information. The given chart shows the expenditure and savings (in Rs.) of Suraj in different months. Income = Expenditure + Savings


6. Income of Suraj in January is what percentage more or less than the expenditure of Suraj in same month?
   80%
   68%
   66%
   75%
   70%
   Option D
   Income in January = 2400+1800 = Rs.4200
   Percentage = [(4200-2400)/2400]*100 = 75%
   
   
    



7. Find the ratio of expenditure of Suraj in March to the savings of Suraj in March.
   10:9
   1:2
   4:3
   6:5
   5:7
   Option D
   Required ratio = 3000:2500 = 6:5
   
    



8. Income of Suraj in May is how much more than income of Suraj in January.
   Rs.2200
   Rs.2500
   Rs.2600
   Rs.2100
   Rs.2800
   Option E
   Income of January = 2400+1800 = Rs.4200
   Income of March = 4500+2500 = Rs.7000
   Difference = 7000 – 4200 = Rs.2800
   
   
    



9. Income of Suraj in June is 25% more than the income of Suraj in April, and the respective ratio of expenditure to savings in June is 3:2. Find the savings of Suraj in June.
   Rs.4200
   Rs.3900
   Rs.2800
   Rs.3100
   Rs.2000
   Option C
   Income of Suraj in April = 3600+2000 = Rs.5600
   Income of Suraj in June = 5600*1.25 = Rs.7000
   Savings in June = 2/5*7000 = Rs.2800
   
   
    



10. Find the average of the income of Suraj in February, March and May taken together.
    Rs.4000
    Rs.6100
    Rs.4500
    Rs.5800
    Rs.5000
    Option D
    Average = (5000+5400+7000)/3 = Rs.5800