Quant Test for IBPS PO Prelims Exam set – 27

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

1. I.18x + 15y = 492
   II.y^2 = 256
   
   x > y
   x >= y
   y > x
   y >= x
   No relation
   Option E
   x = 14
   y = 16,-16
   No relation
   
   
    



2. I.4x^2 – 17x – 15 = 0
   II.3y^2 = 10y + 25
   
   x >= y
   x > y
   y > x
   No relation
   y >= x
   Option D
   I.4x^2 – 17x – 15 = 0
   =>4x^2 – 12x – 5x – 15 = 0
   =>(4x – 5)(x – 3) = 0
   =>x = 3,5/4
   II.3y^2 = 10y + 25
   =>3y^2 – 15y + 5y – 25 = 0
   =>(3y + 5)(y – 5) = 0
   =>y = 5,-5/3
   No relation
   
   
    



3. I.5x^2 + 4y = 12
   II.4x^2 – 3y = 22
   
   No relation
   y > x
   x > y
   x >= y
   y >= x
   Option D
   On solving both the equations, we get
   x = +2,-2
   y = -2
   x >= y
   
   
    



4. I.x^2 - 2x - 63 = 0
   II.y^2 + 13y + 42 = 0
   
   x > y
   y >= x
   No relation
   x >= y
   y > x
   Option C
   I.x^2 - 2x - 63 = 0
   =>x^2 – 9x + 7x – 63 =0
   =>(x+7)(x-9) = 0
   =>x = -7, 9
   II.y^2 + 13y + 42 = 0
   =>y^2 + 6y + 7y + 42 = 0
   =>(y+7)(y+6) =0
   =>y = -7,-6
   No relation.
   
   
    



5. I.x^2 - 23x + 132 = 0
   II.y^2 - 19y + 88 = 0
   
   x > y
   y > x
   y >= x
   No relation
   x >= y
   Option E
   I.x^2 - 23x + 132 = 0
   =>x^2 – 11x – 12x + 132 = 0
   =>(x -11)(x -12) = 0
   =>x = 11,12
   II.y^2 - 19y + 88 = 0
   =>y^2 – 11y – 8y + 88 = 0
   =>(y – 11)(y – 8) = 0
   =>y = 11,8
   x >= y
   
   
    



6. A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?
   50
   40
   80
   60
   70
   Option A
   Total CP of Rice = 30 * 40 = 1200
   40% of Total Quantity = 40% of 30 = 12
   SP = 12*50 = 600
   SP = 1200 * 125/100 = 1500
   SP of Remaining Quantity = 1500 – 600 = 900
   Remaining Quantity = 18kg
   Rice per Kg = 900/18 = Rs. 50
   
   
    



7. Ravina’s age 4 years ago and Radha’s 4 years hence is same. Also the present ages of Ravina and Radha are in the ratio 5 : 3. Find the ratio of Ravina’s age 4 years hence to Radha’s age 4 years ago.
   2:3
   5:4
   3:1
   6:7
   2:5
   Option C
   Ravina= A, Radha = B
   Let A’s present age = 5x, and B’s = 3x
   A’s age 4 years ago to B’s age 4 years hence is same
   So (5x-4) = (3x+4)
   Solve x = 4
   So A’s present age = 20, and B’s = 12
   Required ratio = (20+4) : (12-4) = 3:1
   
   
    



8. P and Q invested rupees 4000 and 5000 respectively in a business. P being an active partner will get rupee 50 every month extra for running the business. In a year if P receive a total of 800 rupee, then what will Q get from the business.
   220
   200
   250
   215
   225
   Option C
   Ratio in which the profit will divide – 4:5.
   A will get 50*12 = 600 rupees extra, so from business A got 200 rupees.
   i.e (4/9)*P = 200, P = 450. So B will get 450 – 200 = 250 rupees
   
   
    



9. The average ages of 4 member, each having the age difference of 2yrs is 54 yrs.What is the sum of the youngest and oldest family member ?
   90
   95
   80
   108
   100
   Option D
   X+X+2+X+4+X+6 = 54*4 = 216
   4X+12 = 216
   X = 216-12/4 =51
   X+6 = 51+6 = 57
   Required = 51+57 = 108
   
   
    



10. Among a group of 5 boys and 6 girls, 4 members is to be selected for an event. Find the probability that at least one boy is selected ?
    18/23
    17/22
    21/22
    15/21
    19/20
    Option C
    1 – No boy is selected
    1 – 6c4/11c4 = 21/22