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Word problems for SBI PO PRELIMS 2020



SBI Clerk and SBI PO Prelims exam are going to be held in the upcoming months. We have already provided you with the PDFs of many topics of Quantitative Aptitude like Simplification/Approximation, Number Series,datainterpretation.important Arithmetic questions to prepare for SBI Clerk and PO Pre exam. Practicing these questions will help you to know about the level of the questions. To increase your speed and accuracy, enhance your calculations.

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START TEST


1. In how many ways all the letters of the word ‘MINIMUM’ be arranged
such that all vowels are together?
A) 60
B) 30
C) 90
D) 70
E) 120

2. In how many ways a group of 4 men and 3 women be made out of a total of 8 men and 5 women?
A) 720
B) 140
C) 120
D) 360
E) 210

3.Pipe A can fill an empty tank in 30 hours while B can fill it 45 hours.
Pipe A and B are opened and closed alternatively i.e., first pipe A is
opened, then B, again A and then B and so on for 1 hour each time
without any time lapse. In how many hours the tank will be 888/9%
filled when it was empty, initially?
1) 32
2) 36
3) 40
4) 45
5) None of these

4.A water reservoir has two inlets and one outlet. Through the inlet it can
be filled in 3 hours and 33/4hours respectively. It can be emptied
completely in 1 hour by the outlet. If the two inlets are opened at 04:00
pm and 05:00 pm respectively and the outlet at 06:00 pm then it will be
emptied at.
1) 07 : 55 pm
2) 07 : 00 pm
3) 08 : 20 pm
4) 08 : 30 pm
5) none of these

5. In a library 5 percent books are in English, 10 percent of the remaining are in hindi and 15 percent of the remaining are in Sanskrit. The remaining 11628 books are in French. Then find the total number
of books in the library.
a) 8000
b) 12000
c) 16000
d) 20000
e) None of these

6.A solution contains 10% of salt by weight. On evaporation 15 litre
of water evaporates and now concentration of salt becomes 20 percent.
Find the initial quantity of solution
a) 20ltr
b) 30ltr
c) 40ltr
d) 50ltr
e) None of these

7.A boat can cover 20 km upstream and 32 km downstream together in
3 hours. Also it can cover 40 km upstream and 48 km downstream
together in 5 and half hours. What is the speed of the current?
A) 13 km/hr
B) 8 km/hr
C) 7 km/hr
D) 11 km/hr
E) 16 km/hr

8.Speed of boat in still water is 14 km/hr while the speed of current is
10 km/hr. If it takes a total of 7 hours to row to a place and come back,
then how far is the place?
A) 30 km
B) 18 km
C) 24 km
D) 32 km
E) None of these

9. In an alloy zinc & copper are in the ratio of 1 :1. In the second alloy
the same element are in the ratio 3 : 5. If these two alloys be mixed to form
a new alloy in which two elements are in the ratio 2 : 3, find the ratio of
these two alloys in the new alloy?
A) 2:3
B) 3:2
C) 1:4
D) 4:1
E) 3:1

10.In a class of 20 students the average of their marks is 59. If one
student left the class then average become 60. Find the marks of that
student?
A) 78
B) 59
C) 40
D) 30
E) 45

SOLUTIONS:

1.A) 60
Explanation:
Take vowels in a box together as one – IIU, M, N, M, M
So there are 5 that to be placed for this 5!, now 3 Ms, so 5!/3!, so
arrangement of vowels inside box gives 3!/2!
So total = 5!/3! * 3!/2!

2.Answer & Explanation
B) 140
Explanation:
Total ways =
8C4*5C3

3.













4.
















5.Answer & Explanation
Answer – c) 16000
Explanation :
Let total books are A, then (95/100)*(90/100)*(85/100)*A = 11628

6.Answer & Explanation
Answer – b) 30ltr
Explanation :
Let initial quantity is x litre
final, salt = (x/10)/ (x – 15) = 20/100

7.Option D
Solution:
Upstream speed in both cases is 20 and 20 resp. Ratio is 20 : 40 = 1 : 2. So let
times in both cases be x and 2x
Downstream speed in both cases is 32 and 48 resp. Ratio is 32 : 48 = 2 : 3. So
let times in both cases be 2y and 3y
So x + 2y = 3
and 2x + 3y = 5 1/2
Solve both, x = 2, y = 0.5
So upstream speed is = 20/x = 10 km/hr
And downstream = 32/2y = 32 km/hr
So speed of boat is 1/2 * (32-10)

 8.Viewnswer
Option C
Solution:
USE FORMULA:
Distance = total time * [B2
– R2]/2*B
So distance = 7 * [142
– 102]/2*14
Distance = 24 km

9.
Option C
Solution:
½…………………..3/8
                2/5
1/40…………………1/10
                 1 : 4

10.
Option C
Solution:
Average increases by 1 when 1 leaves, so for 19 students::
. 59 – 19 = 40