Quant Test for SBI PO 2018 Prelim Exam Set – 52

Banya

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 missing term of the given series.

  1. 24, 73, 221, 666, ?, 6011
    2112
    2002
    2222
    2020
    2022
    Option B
    24, 73, 221, 666, ?, 6011
    24 × 3 + 1 = 73
    73 × 3 + 2 = 221
    221 × 3 + 3 = 666
    666 × 3 + 4 = 2002
    2002 × 3 + 5 = 6011

     

  2. 7, 11, 23, 59.5, 182.5, ?
    666.06
    625.55
    646.75
    600.13
    610.15
    Option C
    7, 11, 23, 59.5, 182.5, ?
    7 × 1.5 + 0.5 = 11
    11 × 2 + 1 = 23
    23 × 2.5 + 2 = 59.5
    59.5 × 3 + 4 = 182.5
    182.5 × 3.5 + 8 = 646.75

     

  3. 2, 5, 13, ?, 271, 1631
    75
    45
    65
    55
    35
    Option D
    2, 5, 13, ?, 271, 1631
    2 × 2 + 1 = 5
    5 × 3 − 2 = 13
    13 × 4 + 3 = 55
    55 × 5 − 4 = 271
    271 × 6 + 5 = 1631

     

  4. 91, 105, 143, 205, ?, 401
    222
    215
    291
    233
    202
    Option C
    91, 105, 143, 205, ?, 401
    Difference of difference 91, 105, 143, 205, 291, 401
    — 14 –38– 62 –86 –110
    –24 –24 –24 –24–

     

  5. 81, ?, 105, 122, 145, 176
    92
    75
    88
    70
    83
    Option A
    81, ?, 105, 122, 145, 176
    81, 92, 105, 122, 145, 176
    –11 –13– 17 –23– 31
    –2—4—6—8—

     

  6. The sum of eight consecutive even numbers of set-A is 376. What is the sum of different set of five consecutive numbers whose lowest number is 15 more than the mean of set-A ?
    220
    320
    330
    400
    120
    Option B
    Mean of set A = 376/8 = 47
    The lowest number of second set = 47 + 15 = 62
    Required = 62 + 63 + 64 + 65 + 66 = 320

     

  7. Sunetra invested an amount of Rs. 50,000 to start a software business. After six months Nikhil joined her with an amount of Rs 80,000. At the end of 3 years they earned a profit of Rs. 24,500. What is Sunetra’s share in in the profit ?
    Rs. 17,550
    Rs. 20,000
    Rs. 15,500
    Rs. 12,000
    Rs. 10,500
    Option E
    The ratio of capital invested by each partner i.e. Sunetra and Nikhil for in order to get the same profit is : 36 × 50000 : 30 × 80000 = 3 : 4
    Share of Sunetra out of Rs. 24500 = Rs.3/7 × 24500 = Rs. 10,500

     

  8. The Simple interest accrued on an amount of Rs.18000 in 2 years is less than the compound interest for the same period by Rs.180. What is the rate of interest?
    10%
    50%
    70%
    40%
    20%
    Option A
    𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 = 𝑝𝑟 ^2/ 100^2
    =>180 = 18000𝑟^ 2/100 × 100
    =>180 × 100 × 100 = 1800𝑟^2
    => r=10%

     

  9. A running track is in the form of a circular whose inner circumference is 396m and outer circumference is 528m. Find the width of the track.
    12 m
    35 m
    10 m
    21 m
    40 m
    Option D
    𝐼𝑛𝑛𝑒𝑟 𝐶𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑜𝑓 𝑡h𝑒 𝑡𝑟𝑎𝑐𝑘 = 396𝑚
    =>2𝜋𝑟 = 396
    => 𝑟 = (396 × 7)/( 22 × 2) = 63𝑚
    𝑂𝑢𝑡𝑒𝑟 𝐶𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑜𝑓 𝑡h𝑒 𝑡𝑟𝑎𝑐𝑘 = 528𝑚
    => 2𝜋𝑅 = 528 𝑅
    = (528 × 7)/( 2 × 22)= 84𝑚
    𝑊𝑖𝑑𝑡h 𝑜𝑓 𝑡h𝑒 𝑡𝑟𝑎𝑐𝑘 = 84 − 63 = 21 m

     

  10. A basket contains 4 apples, 5 Guavas, and 9 orange fruits. If 3 fruits are drawn one by one with replacement, what is the probability that all are Oranges?
    5/9
    3/7
    1/8
    1/24
    7/13
    Option C
    Total number of fruits=4+5+9=18
    𝑃𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 𝑡h𝑎𝑡 𝑂𝑟𝑎𝑛𝑔𝑒 𝑖𝑠 𝑑𝑟𝑎𝑤𝑛 𝑖𝑛 𝑜𝑛𝑒 𝑑𝑟𝑎𝑤 = 9 /(4 + 5 + 9) = 1/2
    Required probability of drawing 3 fruits with replacement such that all the fruits are oranges
    = 1/ 2 × 1/ 2 × 1/ 2 =1/8

     


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