Quant Test for SBI PO 2018 Prelim Exam Set – 29

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 series.

1. 7, 4, 5, 9, ?, 52.5, 160.5
   17
   20
   11
   13
   19
   Option B
   7, 4, 5, 9, ?, 52.5, 160.5
   7 × 0.5 + 0.5 = 3.5 + 0.5 = 4
   4 × 1 + 1 = 4 + 1 = 5
   5 × 1.5 + 1.5 = 7.5 + 1.5 = 9
   9 × 2 + 2 = 18 + 2 = 20

    

2. 210, 209, 213, 186, 202, ?
   88
   55
   66
   44
   77
   Option E
   210, 209, 213, 186, 202, ?
   210 – l3 = 209
   209 + 22 = 213
   213 – 33 = 186
   186 + 42 = 202
   202 – 53 = 202 – 125 = 77

    

3. 2, 9, 30, ?, 436, 2195, 13182
   105
   100
   115
   109
   112
   Option A
   2, 9, 30, ?, 436, 2195, 13182
   2 × 1 + 1 × 7 = 9
   9 × 2 + 2 × 6 = 30
   30 × 3 + 3 × 5 = 105
   105 × 4 + 4 × 4 = 436
   436 × 5 + 5 × 3 = 2195

    

4. 656, 352, 200, 124, 86, ?
   52
   60
   44
   67
   56
   Option D
   656, 352, 200, 124, 86, ?
   656/2 + 24 = 328 + 24 = 352
   352/2 + 24 = 176 + 24 = 200
   200/2 + 24 = 100 + 24 = 124
   124/2 + 24 = 62 + 24 = 86
   86/2 + 24 = 43 + 24 = 67

    

5. 2, 3, 11, 38, 102, ?
   202
   222
   227
   230
   215
   Option C
   2, 3, 11, 38, 102, ?
   2 + l^3 = 2 + 1 = 3
   3 + 2^3 = 3 + 8 = 11
   11 + 3^3 = 11 + 27 = 38
   38 + 4^3 = 38 + 64 = 102
   102 + 5^3 = 102 + 125 = 227

    

6. A mother and a daughter working together can complete a work in 4 days. But if the mother works alone she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work ?
   5 days
   11 days
   13 days
   9 days
   3 days
   Option D
   According to the question,
   (M + D)’s one day’s work = 1/4
   Remaining work = 3/4
   M’s one day’s work = 1/6
   D’s one day’s work = 1/4 – 1/6 = 1/12
   Now, 1/12 th of the work is done by the daughter in 1 day 3/4 th of the work will be done by daughter in
   (12 * 3)/4
   = 9 days

    

7. Shatabdi Express has a capacity of 500 seats of which 10% are in the Executive class and the rest being chair cars. During one journey, the train was booked to 85% of its capacity. If Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey ?
   73
   66
   81
   62
   54
   Option A
   Seats in executive class = 50
   Seats in chair car = 450
   Booking seats in total = 425
   Booking in executive class = 48
   Booking in chair class = (425 – 48) = 377
   Empty seats in chair class = 450 – 377 = 73

    

8. Raj 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 Raj ?
   Rs.410
   Rs.300
   Rs.444
   Rs.405
   Rs.355
   Option D
   Final amount after giving successive discounts of 25% and 10%
   = 600 × 0.75 × 0.9
   = Rs. 405

    

9. Abhijit invested in three schemes A, B and C the amounts in the ratio of 2 : 3 : 4 respectively. If the schemes offered interest at 20 p.c.p.a., 16 p.c.p.a. and 15 p.c.p.a. respectively, what will be the respective ratio of the amounts after one year ?
   45:83:101
   52:85:115
   61:55:32
   56:80:99
   60:87:115
   Option E
   Let Abhijit invested Rs. 2x, Rs. 3x and Rs. 4x in three schemes A, B and C respectively.
   The required ratio
   = 2x × 120/100 : 3x × 116/100 : 4x × 115/100
   = 2 × 120 : 3 × 116 : 4 × 115
   = 60 : 87 : 115

    

10. A card is drawn from a well shuffled pack of 52 cards. Find the probability of non-face card of black colour.
    5/19
    7/11
    1/12
    5/13
    4/17
    Option D
    Total number of black card out of 52 cards = 13 + 13
    = 26
    Number of face cards in each suits namely spades and clubs = 3 + 3 = 6
    Therefore, total number of non-face card of black colour out of 52 cards = 26 – 6 = 20
    Required Probability = 20/52
    = 5/13