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Most important time and work questions for SBI PO prelims part 2


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 QUIZ

1) A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
a) 1/4
b) 1/10
c) 7/15
d) 8/15
e) None of these

2) A can lay railway track between two given stations in 16 days and B can do the same job in 12 days, with help of C, they did the job in 4 days only. Then, C alone can do the job in:
a) 9
b) 9
c) 9
d) 10
e) None of these

3) A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
a) 12 days
b) 15 days
c) 16 days
d) 18 days
e) None of these

4) A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
a) 20 days
b) 22
c) 25 days
d) 30 days
e) None of these

5) A alone can do a piece of work in 6 days and B alone 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
a) Rs.375
b) Rs.400
c) Rs.600
d) Rs.800
e) None of these

6) A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?
a) 11:30 A.M.
b) 12 noon
c) 12:30 P.M.
d) 1:00 P.M.
e) None of these

7) A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
a) 5
b) 5
c) 6
d) 8
e) None of these

8) 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
a) 35
b) 40
c) 45
d) 50
e) None of these

9) A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
a) 45
b) 50
c) 54
d) 60
e) None of these

10) P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
a) 5
b) 5
c) 6
d) 6
e) None of these

11) 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
a) 3
b) 5
c) 7
d) Data inadequate
e) None of these

12) A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
a) 4 days
b) 6 days
c) 8 days
d) 12 days
e) None of these

13) A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to lea0ve and A alone completed the remaining work. The whole work was completed in:
a) 8 days
b) 10 days
c) 12 days
d) 15 days
e) None of these

14) A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
a) 18 days
b) 24 days
c) 30 days
d) 36 days
e) None of these

15) A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in:
a) 4 days
b) 6 days
c) 8 days
d) 18 days
e) None of these

16) Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ration between the capacity of a man and a woman?
a) 3 : 4
b) 4 : 3
c) 5 : 3
d) Date inadequate
e) None of these


SOLUTION

1. Option D
A’s 1 day’s work = 1/15
B’s 1 day’s work = 1/20
(A + B)’s 1 day’s work = [1/15 + 1/20]= 7/60
(A + B)’s 4 day’s work = [7/60 * 4]=7/15
Therefore, Remaining work = [1- 7/15]= 8/15

2. Option C
(A + B + C)’s 1 day’s work = 1/4
A’s 1 day’s work = 1/16
B’s 1 day’s work = 1/12
C’s 1 day’s work = ¼[1/16 + 1/12 ]=1/4 - 7/48 =5/48
So, C alone can do the work in =

3. Option B
A’s 2 day’s work = [1/20 * 2 =1/10
(A + B + C)’s 1 day’s work = [1/20 + 1/30 + 1/60]=1/10
Work done in 3 days = [ 1/10 + 1/10]= 1/5
Now, 1/5 work is done in 3 days. Whole work will be done in (3 × 5) = 15 days

4. Option B
Ratio of times taken by A and B = 1 : 3
The time difference is (3 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
If difference of time is 60 days, B takes [ 3/2 * 60]= 90 days
So, A takes 30 days to do the work.
A’s 1 day’s work =1/30
B’s 1 day’s work =1/90
(A + B)’s 1 day’s work = [1/30 + 1/90]=2/45
A and B together can do the work in 45/2= 22  1/2 days

5. Option B
C’s 1 day’s work =1/3 [ 1/6 + 1/8] =1/24
A’s wages : B’s wages : C’s wages = 1/6: 1/8: 1/24 = 4 : 3 : 1
C’s share (for 3 days) = Rs.[3 ]= Rs.400

6. Option D
(P + Q + R)’s 1 hour’s work =[1/8+1/10+1/12]=37/120
Work done by P, Q and R in 2 hours = [37/120*2]=37/60
Remaining work = [1- 37/60 ]=23/60
(Q + R)’s 1 hour’s work = [1/10+1/12]=11/60
Now, work is done by Q and R in 1 hour.
So, work will be done by Q and R in [60/11 * 23/60]= 23/11
= hours 2 hours So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

7. Option C
B’s 10 day’s work = [1/15*10]=2/3
Remaining work = [1 - 2/3 ]=1/3
Now,1/18 work is done by A in 1 day.
1/3 work is done by A in[18*1/3]
= 6 days.

8. Option B
Let 1 man’s 1 day’s work = x and 1 woman’s 1 day’s work = y. Then, 4x + 6y = 1/8 and 3x + 7y =1/10
Solving the two equations, we get x =11/400 , y =1/4000
1 woman’s 1 day’s work = 1/4000
10 women’s 1 day’s work = [1/400*10]=1/40
= Hence, 10 women will complete the work in 40 days.

9. Option D
(A + B)’s 20 day’s work =[1/30*20]=2/3
Remaining work = [1- 2/3 ]=1/3
Now, 1/3 work is done by A in 20 days.
Therefore, the whole work will be done by A in (20 × 3) = 60 days.

10. Option A
P can complete the work in (12 × 8) hrs. = 96 hrs.
Q can complete the work in (8 × 10) hrs. = 80 hrs.
P’s 1 hour’s work = and Q’s 1 hour’s work =1/80
[P + Q)’s 1 hour’s work = [1/96 + 1/80]= 11/480
So, both P and Q will finish the work in [480/11]hrs.
Number of days of 8 hours each =[480/11 * 1/8]
= 60/11 days =5 days

11. Option C
1 woman’s 1 day’s work = 1/70
1 child’s 1 day’s work = 1/140
(5 women + 10 children)’s day’s work = [ 5/70 + 10/140] = 1/7
= 5 women and 10 children will complete the work in 7 days.

12. Option B
Suppose A, B and C take x, and days respectively to finish the work.
Then, 1/X + 2/X + 3/X=1/2
6/x=1/2= x = 12
So, B takes (12/2) = 6 days to finish the work.

13. Option C
(A + B)’s 1 day’s work = [1/15+ 1/10]= 1/6
Work done by A and B in 2 days =[1/6*2]=1/3
Remaining work = [1 - 1/3 ]=2/3
Now, 1/15 work is done by A in 1 day.
2/3work will be done by A in [15*2/3]= 10 days
Hence, the total time taken = (10 + 2) = 12 days.

14. Option A
2 (A + B + C)’s 1 day’s work = 1/30 + 1/24 + 1/20 = 1/8
Therefore, (A + B + C)’s 1 day’s work = 1/2*8= 1/16
Work done by A, B, C in 10 days = 10/16=5/8
Remaining work =[1 ]=3/8
A’s 1 day’s work = [1/24 1/24]=1/48
Now,1/48 work is done by A in 1 day.
So, 3/8 work will be done by A in
= 18 days.

15. Option A
Ratio of rates of working of A and B = 2 : 1
So, ratio of times taken = 1 : 2
B’s 1 day’s work =1/12
A’s 1 day’s work =1/6 ; (2 times of B’s work)
(A + B)’s 1 day’s work = [1/6+ 1/12]= 3/12=1/4
So, A and B together can finish the work in 4 days.

16. Option B
(20 × 16) women can complete the work in 1 day.
1 woman’s 1 day’s work = 1/320
(16 × 15) men can complete the work in 1 day.
1 man’s 1 day’s work =1/240
So, required ratio = 1/240:1/320
= 1/3:1/4 =
4 : 3 (cross multiplied)