Quant Test for SBI PO 2018 Prelim Exam Set – 64

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): In each of the following number series , a wrong number is given. Find out the wrong number.

  1. 6,7,13,20,33,53,96
    6
    96
    20
    7
    13
    Option B
    6,7,13,20,33,53,96
    6+7=13
    7+13=20
    13+20=33
    20+33 = 53
    33+53=86

     

  2. 24,12,12,18,27,90,270
    18
    12
    27
    24
    90
    Option C
    24,12,12,18,27,90,270
    24*0.5 = 12
    12*1=12
    12*1.5= 18
    18*2=36

     

  3. -6,-5,3,28,94,219,435
    94
    -6
    219
    28
    -5
    Option D
    -6,-5,3,28,94,219,435
    -6 + 1^3 = -5
    -5 + 2^3 = 3
    3 + 3^3 = 30

     

  4. -1,0,2,21,340,8510
    2
    0
    340
    21
    8510
    Option E
    -1,0,2,21,340,8510
    -1 *1^2 +1 = 0
    0 * 2^2 + 2 = 2
    2 * 3^2 + 3 = 21
    21 * 4^2 + 4 = 340
    340 * 5^2 + 5 = 8505

     

  5. 144,72,48,36,28,24
    72
    144
    28
    24
    48
    Option C
    144,72,48,36,28,24
    144*(1/2) = 72
    72*(2/3) = 48
    48*(3/4) = 36
    36*(4/5) = 28.8

     

  6. In two alloys A and B the ratio of zinc to copper is 4:5 and 2:7 respectively. 9 kg of alloy A and 45 kg of alloy B are mixed together to form a new alloy. What will be the ratio of zinc to copper in the new alloy.
    9:11
    7:15
    5:13
    7:20
    3:5
    Option D
    Total zinc = 9*(4/9) + 45*(2/9) = 14
    Total copper = 9*(5/9) + 45*(7/9) = 40
    Required ratio = 14/40 = 7:20

     

  7. The speed of boat in still water is 24 km/hr. and the speed of the stream is 4 km/hr. The time taken by the boat to travel from A to B downstream is 36 minutes less than the time taken by the same boat to travel from B to C upstream. If the distance between A and B is 4 km more than the distance between B and C , what is the distance between A and B ?
    56 km
    62 km
    40 km
    36 km
    45 km
    Option A
    Let AB = x+4 km
    BC = x km
    (x+4)/(24+4) = x/(24-4) – 36/60
    => x/20 – (x+4)/28 = 3/5
    => x =52
    AB = 56 km

     

  8. If there is a reduction in the number of workers in a factory in the ratio 15:11 and an increment in their wages in the rate 22:25, then the ratio by which the total wages of the workers should be decreased.
    1:5
    4:7
    2:3
    5:7
    6:5
    Option E
    Initial wages = 15*22
    Wages after reduction = 11*25
    Required ratio = 6:5

     

  9. Out of Rs. 50,000 that a man lends Rs.8000 at 5(1/2)% per annum simple interest and Rs. 24,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 3680 . Find the rate of interest per annum, at which the remaining money is lent.
    4%
    10%
    5%
    11%
    8%
    Option B
    Remaining amount = 50,000 – (8000 + 24000)
    = Rs. 18,000
    Let the rate of interest = r%
    Now, 8000/100*(11/2) *1 + 24000*6/100 + 18000*r/100
    = 3680
    => r = 10%

     

  10. The rate of Simple Interest in PNB & UCO are in the ratio of 4:5. Krishnan wants to deposit his total savings in two banks in such a way that he receives equal half-yearly interest from both banks. Find the ratio, he should deposit in both banks PNB & UCO.
    5:4
    3:8
    2:3
    4:7
    1:7
    Option A
    R1 =4x
    R2=5x
    𝑇1 = 𝑇2 = 1/2 𝑦𝑟
    =>[𝑃1 × 4𝑥 × 1]/[ 100 × 2 ]= [𝑃2 × 5𝑥 × 1]/[ 100 × 2] => P1:P2 = 5:4

     


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