# 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.

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