Quant Test for SBI PO Prelims Exam set – 07

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

1. I.6x^2 – 7x + 2 = 0
   II.20y^2 -31y + 12 = 0
   
   x >= y
   x > y
   No relation
   y >= x
   y > x
   Option E
   I.6x^2 – 7x + 2 = 0
   =>6x^2 – 4x – 3x + 2 = 0
   =>x = 2/3,1/2
   II.20y^2 -31y + 12 = 0
   =>20y^2 – 16 y -15y +12 = 0
   =>y = 4/5,3/4
   y > x

    

2. I.x^2 – 15x + 56 = 0
   II.3y^2 – 18 y + 15 = 0
   
   y >= x
   y > x
   x >= y
   x > y
   No relation
   Option D
   I.x^2 – 15x + 56 = 0
   =>x^2 -8x -7x + 56 = 0
   =>x = 8,7
   II.3y^2 – 18 y + 15 = 0
   => 3y^2 – 15y – 3y + 15 = 0
   =>y = 5,1
   x > y
   

    

3. I.2x^2 – 9x + 10 = 0
   II.2y^2 -13y + 20 = 0
   
   x > y
   x >= y
   y >= x
   y > x
   No relation
   Option C
   I.2x^2 – 9x + 10 = 0
   =>2x^2 – 5x – 4x + 10 = 0
   =>x = 2,5/2
   II.2y^2 -13y + 20 = 0
   =>2y^2 -8y -5y + 20 = 0
   =>y = 4,5/2
   y >=x
   

    

4. I. x^2 = 144
   II.y^2 -24y + 144 = 0
   
   x >= y
   y >= x
   x > y
   y > x
   No relaton
   Option B
   I. x^2 = 144
   => x = -12,+12
   II.y^2 -24y + 144 = 0
   =>y = 12
   y >= x
   

    

5. I. 13^2 – 14 + 28 = x
   II.16^2 – 8* 7 = y
   
   y > x
   x >= y
   y >= x
   x > y
   No relation
   Option A
   I. 13^2 – 14 + 28 = x
   =>x = 183
   II.16^2 – 8* 7 = y
   =>y = 200
   y > x
   

    

6. Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B ?
   
   30 kmph
   10 kmph
   40 kmph
   60 kmph
   20 kmph
   Option E
   AB = 60 km
   Ram’s speed = x kmph
   Shyam’s speed = y kmph
   60/x – 60/y = 1 …………..(i)
   60/y – 60/2x = ½ ……………(ii)
   From (i) and (ii)
   Speed,x = 20 kmph
   

    

7. A shopkeeper marks up the price of his product by 40%. If he increases the discount from 5% to 10% ,the profit would decrease by Rs 14. How much profit would he earn if he gives a discount of 20% on the marked price?
   18
   14
   10
   24
   20
   Option D
   5% of SP == 14
   =>SP == 280
   1.4 CP == 280
   CP = 200
   New CP = 80/100*280 = 224
   =>Profit = 224 – 200 = 24
   

    

8. Monica deposited a total of Rs. 10500 with a bank in two different deposit schemes at 10% p.a., interest being compounded annually. As per the schemes, she gets the same amount after 2 years on the first deposit as she gets after 3 years on the second deposit. How much money did she deposit for 3 years?
   4000
   5000
   3000
   6000
   9000
   Option B
   P1[(1+10/100)^2] = P2[(1+10/100)^3]=>P1/P2 = 11/10
   =>P2 = 5000
   

    

9. In an examination P scored 25 marks less than Q. Q scored 45 more marks than R. T scored 75 marks which is 10 more than R. U’s score is 80 less than maximum marks of the test. What approximate percentage of marks did U score in the examination if he gets 55 marks more than R?
   
   30%
   40%
   50%
   60%
   80%
   Option D
   Marks of T = 75
   Marks of R = 65
   Marks of Q = 110
   Marks of P = 85
   Marks of U = 120
   Maximum marks = 200
   Required percentage = 120/200*100 = 60%
   

    

10. One fill pipe A takes 3 minutes more to fill the cistern than two fill pipes A and B opened together to fill it. Second fill pipe B 21(1/3) takes minutes more to fill cistern than two fill pipes A and B opened together to fill it. When will the cistern be full if both pipes are opened simultaneously.
    3 minutes
    5 minutes
    8 minutes
    4 minutes
    9 minutes
    Option C
    Let pipes A and B takes x minutes together.
    A will take (x+3 ) minutes to fill the tank.
    B will tank (x+64/3 ) minutes to fill the tank.
    1/(x+3) + 1/(x+64/3) = 1/x
    x = 8 minutes