Quant Test for SBI PO 2018 Prelim Exam Set – 8

Hello Aspirants

State Bank of India (SBI) is going to conduct examination for its recruitment for the post of Probationary Officers (SBI PO 2018) for a total of 2000 vacancies.

Click here to know the details of the Examination

The examination will be held in three phases i.e. Preliminary Examination, Main Examination and Group Exercise & Interview. The Preliminary Exam is scheduled on 1st, 7th & 8th of July 2018. Details of the exam are as under:

Practice the questions so as to familiarize yourself with the pattern of questions to be asked in the exam. 


 

Directions(1-5): Find the relation between x and y and choose the correct option accordingly.

  1. x2 – 2x – √5x + 2√5 = 0
    y2 – √3y – √2y + √6 = 0

    y>=x
    x>y
    x>=y
    y>x
    x=y and relation cannot be established.
    Option B
    x (x-2) – √5(x-2) = 0
    (x-2) (x-√5) = 0
    x = 2, 2.23
    y^2 – √3y – √2y + √6 = 0
    y (y-√3) – √2(y-√3) = 0
    (y-√2) (y-√3) = 0
    y = 1.414, 1.732
    x>y

     

  2. x²- 4x – 621 = 0
    y² – 56y + 783 = 0

    y>=x
    x>y
    x>=y
    x=y and relation cannot be established.
    y>x
    Option A
    x² – (27-23)x-621=0
    x² – 27x – 23x – 621=0
    x (x-27) +23 (x-27)=0
    (x-27) (x+23)=0
    x=27, x= -23
    y² – (29+27) y+783 = 0
    y² – 29y – 27y + 783 =0
    y (y-29) -27(y-29)=0
    (y-29) (y-27) =0
    y=29, y=27
    y>=x

     

  3. 15x² – 34x + 15 = 0
    15y² + 22y + 8 = 0

    y>=x
    x>=y
    x=y and relation cannot be established.
    y>x
    x>y
    Option E
    15x²- (9+25)x + 15 =0
    15x² – 9x – 25x + 15 = 0
    3x (5x-3)-5 (5x-3)=0
    (3x-5) (5x-3)=0
    x= 5/3,3/5
    15y² +(10+12)y + 8 = 0
    15y² + 10y + 12y + 8 = 0
    5y (3y+2) +4 (3y+2)=0
    (3y+2) (5y+4)=0
    y= -(2/3), -(4/5)
    x>y

     

  4. 14x² -41x + 15=0
    56y² – 54y+ 10 = 0

    y>x
    x=y and relation cannot be established.
    x>y
    x>=y
    y>=x
    Option B
    14x² – (35+6)x +15=0
    14x² -35x -6x+15=0
    7x (2x-5)-3 (2x-5)=0
    (2x-5) (7x-3)=0
    x = 5/2 ,3/7
    56y²- (40+14)y +10=0
    56y² – 40y- 14y +10=0
    8y(7y-5)-2(7y-50=0
    (7y-5) (8y-2) =0
    y =5/7,1/4
    x=y and relation cannot be established.

     

  5. 3x² + 11x + 6 = 0
    3y² + 10y + 8 = 0

    x=y and relation cannot be established.
    x>y
    y>x
    x>=y
    y>=x
    Option A
    3x² + 11x + 6 = 0
    3x² + 9x + 2x + 6 = 0
    x = -0.66, -3
    3y² + 10y + 8 = 0
    3y² + 6y + 4y + 8 = 0
    y = -1.33, -2
    x = y or relation cannot be established

     

  6. Seats for Mathematics, Science and Arts in a college are in the ratio 5:7:8. There is a proposal to increase these seats by x%, y% and z% respectively and the ratio of increased seats is 2:3:4 , which of the following option is true?
    x=30,y=50,z=55
    x=45,y=50,z=60
    x=40,y=50,z=75
    x=40,y=30,z=75
    None of these
    Option C
    x = 40,x=50, z = 75
    By option, No. of increased seats = (140% of 5x), (150% of 7x) and (175% of 8x)
    = 7x , 21x/2 and 14x
    Required ratio = 2:3:4

     

  7. 75 kg of alloy A is mixed with 35 kg of alloy B. A contains brass and copper in the ratio 4:1 and B contains them in the ratio 3:4 respectively. If both alloys are mixed then what is the ratio of copper to brass in the mixture ?
    7:30
    15:7
    14:29
    11:19
    31:45
    Option B
    A(75 kg)
    4========1
    4 -> 60 kg
    1-> 15 kg
    B(35 kg)
    3========4
    3-> 15 kg
    4-> 20 kg
    Required ratio = (60+15):(15+20) = 15:7

     

  8. If the length of a certain rectangle is decreased by 4 m and the width is increased by 3 m, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
    30 m
    40 m
    65 m
    50 m
    54 m
    Option D
    (l-4)(b+3)= lb
    => 3l – 4b = 12 ———(1)
    and (l-4)=(b+3)———(2)
    From these two equations , we get
    l = 16, b = 9
    Perimeter of the rectangle = 25*2 = 50 m

     

  9. A passenger train of 450 m long passes a goods train 300 m long travelling in opposite direction. If the speeds of the passenger train and goods train be 117 km/hr. and 63 km/hr. how long will it take to cross each other ?
    15 sec.
    25 sec.
    20 sec.
    22 sec.
    10 sec.
    Option A
    Required time = (450+300)/(117+63)*(5/18)
    = 15 seconds

     

  10. If the simple interest on a certain sum for 3 years at 8% per annum is half of the compound interest on Rs.4000 for 2 years at 10% per annum. What is the sum?
    1120
    1550
    1300
    1750
    1000
    Option D
    (P*3*8)/100 = (1/2)*4000*[(1+(10/100)^2 – 1)] => P = 1750

     


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