Quant Test for SBI PO 2018 Prelim Exam Set – 1

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 in the series.

1. 1, 7, 56, 504, 5040, ?
   50000
   54450
   55440
   51200
   56520
   Option C
   1,7,56,504,5040,?
   1*7=7
   7*8=56
   56*9=504
   504*10=5040
   5040*11= 55440

    

2. 181, 404, 755, 1276, 2015, ?
   3026
   4520
   3500
   5200
   4450
   Option A
   181, 404, 755, 1276, 2015, ?
   181+6³ +7 = 404
   404+7³ +8=755
   755 +8³+9=1276
   1276+9³+10= 2015
   2015+10³ +11 = 3026

    

3. 20, 22, 26, 34, 41, ?
   40
   25
   32
   46
   52
   Option D
   20, 22, 26, 34, 41, ?
   20+2+0= 22
   22+2+2 = 26
   26+2+6=34
   34+3+4=41
   41+4+1= 46

    

4. 24, 30, 48, 78, 120, ?
   125
   154
   160
   110
   174
   Option E
   24, 30, 48, 78, 120, ?
   24 + (6*1) = 30
   30 + (6*3) = 48
   48 + (6*5) = 78
   78 + (6*7) = 120
   120 + (6*9) = 174

    

5. 71, 96, 145, 226, 347, ?
   450
   516
   390
   500
   370
   Option B
   71, 96, 145, 226, 347, ?
   71+ (5)² = 96
   96+ (7)² = 145
   145+(9)²= 226
   226+(11)² = 347
   347+(13)² = 516

    

6. A fisherman bought a new motorboat which could travel in still water at 20 km/hr. He has to move to an island 3182km away and come back. How much time will it take for the entire journey if the speed of the stream is 1.5 km/hr?
   320 hrs.
   300 hrs.
   288 hrs.
   150 hrs.
   344 hrs.
   Option A
   Speed of downstream = (20+1.5)= 21.5km/hr.
   Speed of upstream = (20-1.5) = 18.5 km/hr.
   Total time taken = 3182/21.5 + 3182/18.5
   = 148 + 172 = 320 hours

    

7. A water tank is filled in 3 hours by 3 pipes X,Y and Z working together. The pipe X is 3 times as fast as pipe Y and pipe Y is 4 times as fast as pipe Z. Then in how much time will pipe Z take to fill the tank alone ?
   36 hrs.
   45 hrs.
   20 hrs.
   51 hrs.
   60 hrs.
   Option D
   Let pipe Z takes x hours to fill the tank alone, pipe Y will take (x/4) hours and pipe Z will take (x/12) hours . Together they filled the tank in 3 hours .
   Now, 1/x + 4/x + 12/x = 1/3
   => x = 51 hours

    

8. P and Q start a business by investing Rs.700 and Rs.600 respectively. After three months P withdraw (2/7) of his investment but further three months he reinvested (3/5) of withdraw. If they receive Rs. 726 as a profit after end of the year then find the share of P?
   Rs.250
   Rs.300
   Rs.366
   Rs.422
   Rs.316
   Option C
   Ratio of the investments
   = (700 *3 + 500 *3 + 620*6) : (600*12)
   = 183 : 180
   P’s share = Rs.366

    

9. A goods train engine speed is 56km/hr. without any wagon attached. If the reduction in the speed of engine is directly propotional to the square root of the number of attached wagons , when there are 16 wagons attached then speed calculated 24 km/hr. Find the maximum number of wagons train can carry ?
   45
   37
   40
   48
   56
   Option D
   56 – 24 = k(16)^1/2
   => 32 = k*4
   => k = 8
   Now, 56 – 0 = 8(w)^1/2
   => w = 49
   For moving train = 49-1 = 48

    

10. There are two fathers i.e Mohan and Mohit and two sons i.e Mohit and Mannu in a family. Ratio between grandfather and grandson is 3:1 . Mohit is 26 years older than Mannu and average age of all three is 50(1/3) . What is the difference between the age of Mohan and Mohit ?
    15 years
    24 years
    35 years
    40 years
    18 years
    Option B
    Mohan = 3x
    Mohit = x+26
    Mannu = x
    sum of their ages = 3x+x+26+x = 151
    => x = 25
    Required difference = [(3*25) – (25+26)] = 24 years