Quant Test for SBI PO 2018 Prelim Exam Set – 23

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 next term of the series.

  1. 628,160,44,16,10,?
    6.5
    11.5
    5.5
    9.5
    8.5
    Option D
    628,160,44,16,10,?
    628/4 +3 = 160
    160/4 +4 = 44
    44/4 +5 = 16
    16/4 +6 = 10
    10/4 +7 = 9.5

     

  2. 6,30,188,1514,?
    15152
    15150
    15151
    15149
    15153
    Option A
    6,30,188,1514,?
    6*4+6 = 30
    30*6+8 = 188
    188*8+10 = 1514
    1514*10+12 = 15152

     

  3. 54,250,686,1458,?
    2662
    2050
    2656
    2551
    2030
    Option A
    54,250,686,1458,?
    54 = 2*33
    250 = 2*53
    686 = 2*73
    1458 = 2*93
    2662 = 2*113

     

  4. 26, 27,58,?,748,3765
    180
    185
    181
    184
    183
    Option E
    26, 27,58,?,748,3765
    26*1+12 = 27
    27*2+22 = 58
    58*3+32 = 183
    183*4+42 = 748
    748*5+52 = 3765

     

  5. 210, 786,302,702,?,634
    305
    330
    365
    355
    378
    Option E
    210, 786,302,702,?,634
    210 + (24)2 = 786
    786 – (22)2 = 302
    302 + (20)2 = 702
    702 – (18)2 = 378
    378 + (16)2 = 634

     

  6. The ratio between the speed of a bus and train is 15 : 27 respectively. Also, a car covered a distance of 720 km. in 9 hours. The speed of the bus is three-fourth of the speed of the car. How much distance will the train cover in 7 hours ?
    752 km.
    760 km.
    745 km.
    700 km.
    756 km.
    Option E
    Speed of car = Distance covered/Time taken
    =720/9 = 80 kmph
    Speed of bus = 3/4 × 80 = 60 kmph
    Speed of train = 27/15 × 60 = 108 kmph
    Distance covered by train in 7 hours = 7 × 108
    = 756 km.

     

  7. Sunder purchased an office bag with a price tag of Rs 600 in a sale where 25% discount was being offered on the tag price. He was given a further discount of 10% on the amount arrived at after giving usual 25% discount. What was the final amount paid by Sunder ?
    Rs. 400
    Rs. 603
    Rs. 405
    Rs. 302
    Rs. 500
    Option C
    Final amount after giving successive discounts of 25% and 10%
    = 600 × 0.75 × 0.9
    = Rs. 405

     

  8. A sum of money is accumulating at compound interest at a certain rate of interest. If simple interest instead of compound were reckoned, the interest for the first two years would be diminished by Rs 20 and that for the first three years by Rs 61. Find the sum.
    Rs. 5000
    Rs. 6000
    Rs. 8000
    Rs. 3000
    Rs. 7000
    Option C
    Let the principal be P and rate of interest be r%.
    Then, principal (when difference between C.I. and SI is for 2 years) is given by P = [20 * (100)^2]/r^2 ——–(1) and difference between CI and SI is for 3 years is given by P
    = [ 61 * (10)2 ]/[r2 * (300+r)] ——-(2)
    From eqs. (1) and (2),
    (20 * 104 )/r2 = (61 * 102 )/[ r^2* (300+r)] => r = 305 – 300 = 5%
    From Eq. (1),
    P = (20 * 10^4)/25
    = Rs. 8000

     

  9. A wants to secure an annual income of Rs 1500 by investing in 15% debentures of face value Rs 100 each and available for Rs 104 each. If the brokerage is 1%, then find the sum of money he should invest .
    Rs. 10206
    Rs. 10504
    Rs. 10203
    Rs. 10004
    Rs. 10500
    Option B
    Let Rs x be the face value of debentures,
    Then 15% of x = 1500
    => x × 15% = 1500
    => x = 10000
    Available value of debentures = (104/100)*10000 = Rs.10400
    Now brokerage = 1% of Rs 10400
    = (1/100) × 10400
    = Rs 104
    Sum of money invested = Rs. (10400 + 104)
    = Rs. 10504

     

  10. A bag contains 4 red, 5 brown and 6 white balls. Three balls are drawn randomly. If two balls are drawn randomly then what is the probability that both the balls are of same colour ?
    32/115
    33/100
    22/105
    31/105
    34/103
    Option D
    n(S) = 15C2 = 105
    n(E) = 4C2 + 5C2 + 6C2 = 31
    P (E) = 31/105

     


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