Quant Test for SBI PO 2018 Prelim Exam Set – 14

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. 1401, 1402, 705, ?, 77
    200
    150
    244
    250
    300
    Option C
    1401, 1402, 705, ?, 77
    1401/1+12 = 1402
    1402/2+22 =705
    705/3+32 =244
    244/4+42= 77

     

  2. 10, 6, 12, 35, ?, 591.75
    129.5
    105.6
    112.5
    135.2
    100.5
    Option A
    10, 6, 12, 35, ?, 591.75
    10*0.5+1 = 6
    6*1.5+3=12
    12*2.5+5=35
    35*3.5+7=129.5
    129.5*4.5+9=591.75

     

  3. 390, 198, ?, 54, 30, 18
    80
    120
    100
    98
    102
    Option E
    390, 198, ?, 54, 30, 18
    390-192=198
    198-96=102
    102-48=54
    54-24=30
    30-12=18

     

  4. 10, 77, 474, ?, 9556, 28683
    2300
    2050
    1590
    2385
    2045
    Option D
    10, 77, 474, ?, 9556, 28683
    10*7+7*1=77
    77*6+6*2=474
    474*5+5*3=2385
    2385*4+4*4=9556
    9556*3+3*5=28683

     

  5. 150, 50, 131, 67, 116, ?, 105
    70
    80
    60
    40
    50
    Option B
    150, 50, 131, 67, 116, ?, 105
    150 – 102 = 50
    50 + 92 = 131
    131 – 82= 67
    67 + 72 = 116
    116 – 62= 80
    80 + 52=105

     

  6. A car covers a distance of 528 km. in a certain time at a speed of 66 km./hr. How much distance would a truck cover at an average speed which is 24 km hr. less than that of the speed of the car in time which is 7 hours more than that taken by the car ?
    400 km
    630 km
    350 km
    450 km
    300 km
    Option B
    Time taken by car = 528/66 = 8 hours
    Time =15 hours (given) Speed = 66 – 24 = 42 kmph
    Distance covered by truck = Speed × Time
    = 15 × 42 = 630 km

     

  7. A water tank in the form of a cuboid has its base 20 m long, 7 m wide and 10 m deep. Initially, the tank is full but later when water is taken out of it, the level of water in the tank reduces by 2 m. Find the volume of the water left in the tank.
    1335 cu. cm
    1100 cu. cm
    1450 cu. cm
    1120 cu. cm
    1200 cu. cm
    Option D
    Given that,
    Volume of the tank = l × b × h = 20 × 7 × (10 – 2) = 1120 cm^3

     

  8. Mixture of milk and water has been kept in two separate containers. Ratio of milk to water in one of the containers is 5 : 1 and that in the other container is 7 : 2. In that ratio the mixture of these two containes should be added together, so that the quantity of milk in the new mixture may become 80% ?
    6:7
    1:3
    2:3
    4:5
    8:9
    Option C

    Percentage of milk in first mixture = (5/6)*100 = (250/3)%
    Percentage of milk in second mixture = (7/9)*100 = (700/9)%
    Using Alligation method,
    (250/3)———–(700/9)
    ———–80
    (20/9)————–(10/3)
    Required ratio = 2:3

     

  9. The population of a variety of tiny bush in an experimental field increased by 10% in the first year, increased by 8% in the second year but decreased by 10% in the third year. If the present number of bushes in the experimental field is 26730, then what was the number of variety of bushes in the beginning ?
    20000
    23500
    21200
    24500
    25000
    Option E
    Let the beginning of the year variety of bushes is x, then x × 1.1 × 1.08 × 0.9 = 26730
    => x = 26730/(1.1*1.08*0.9)
    = 25000

     

  10. Ravi borrowed some money at the rate of 4 p.c.p.a. for the first three years, at the rate of 8 p.c.p.a. for the next two years and at the rate of 9 p.c.p.a. for the period beyond 5 years. If he pays a total simple interest of Rs 19,550 at the end of 7 years, how much money did he borrow ?
    Rs. 40000
    Rs. 42500
    Rs. 62320
    Rs. 22400
    Rs. 50500
    Option B
    If the amount borrowed be Rs. x,
    then (x*4*3)/100 + (x*8*2)/100 + (x*9*2)/100 = 19550
    => 12x + 16x + 18x = 1955000
    => 46x = 1955000
    => x = 1955000/46
    => Rs. 42500

     


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