Quant Test for SBI PO 2018 Prelim Exam Set – 52

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