# Quantitative Aptitude: Time and Work Set 7

Time and Work Questions forÂ IBPS/SBI PO, NIACL, NICl, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

1. A & B can separately finish the work in 30 days and 50 days respectively. They worked together and A left the work, so B complete the remaining work in 10 days. Find after how many days A left the work?
A) 10days
B) 12days
C) 15days
D) 20days
E) 18days
Option C
Solution:

A = 30â€¦â€¦â€¦..5
B = 50â€¦â€¦â€¦.3 Â  Â (LCM = 150)
A+ B = 8
Bâ€™s work in 10days = 3*10 =30
Means they together did â€¦â€¦120
120/8= 15days
2. A is 20% more efficient than B and 50% more efficient than C. if they together can do a work in 24 days then find in how many days B alone can do the work?
A) 60days
B) 72days
C) 90days
D) 180days
E) 100days
Option B
Solution:

. Â  Â  Â  Â  Â  Â  Â  Â  Â A â€¦â€¦â€¦B Â  | Â  Aâ€¦â€¦â€¦C
Efficiency Â  Â 6â€¦â€¦â€¦.5 Â  Â | Â  3â€¦â€¦â€¦2
Days Â  Â  Â  Â  Â  Â 5â€¦â€¦â€¦.6 Â  | Â  2â€¦â€¦â€¦3
Days A : B : C
. Â  Â  Â  Â 10 12 15
A = 10……….6
B = 12………..5 …. Â  Â  Â  Â (LCM = 60)
C = 15………..4
A+B+ C = 15
60/15=4
4=24
1= 6
B=12= 12*6 = 72days
3. A can make 10000 papers in an hour B can make 8000 papers in an hour. Find in how many days they both can make 5,90,000 papers, if A do work for 7 hours and B do work for 6 hours?
A) 4days
B) 3days
C) 5days
D) 6days
E) 7days
Option C
Solution:
Aâ€™s 1hr work = 10,000
7hr work = 70,000
Bâ€™s 1hr work = 8000
6hr work = 48,000
Total work of A& B of 1day = 70,000+48,000= 1,18,000
So 590000/118000 = 5days
4. 7 men and 5 women can do a work in 6 days. Also 6 men and 7 women can do same work in 6 days. Find in how many days will 2 men & 2 women can finish the work?
A) 19days
B) 15days
C) 10days
D) 14days
E) 22days
Option A
Solution:

7M + 5W =6
42M+30W = 1â€¦â€¦â€¦â€¦â€¦â€¦.(1)
6M +7W =6
36M + 42W =1â€¦â€¦â€¦â€¦â€¦..(2)
FROM (1) & (2)
. 42M + 30W =1
-36M (-)+ 42W =(-)1
6M -12W =0
6M =12W
M =2Wâ€¦â€¦.PUT IT IN EQUATION(1)
S0 .. 14W +5W= 6
19W =6
1W = 6*19
6W = 6*19/6 =19DAYS
5. A & B can do a work in 18 days. They started work together and A left after 7 days and B did the remaining work in 33 days. Find in how many days A can alone do the work?
A) 18
B) 54
C) 27
D) 36
E) 32
Option C
Solution:

let total work = 18
Efficiency of A &Bâ€™s work of 1day =1
In 7days they complete =7 work
Remaining = 18-7 = 11
B do 11 work = 33 days
1 work = 3days
18work = 54days
So â€¦â€¦. A+B = 18â€¦â€¦.3 Â  Â  Â  Â  Â  Â  Â  Â (LCM = 54)
. Â  Â  Â  Â  Â  Â  Â  Â  B = 54â€¦â€¦..1
So A = 3-1 = 2
A = 54/2 =27days
6. A tap can fill a tank in 16 hrs but due to a leak it takes 6 hrs more. If leakage withdraw 9ltr water in an hour than find the quantity of tank?
A) 520ltr
B) 528ltr
C) 536ltr
D) 544ltr
E) 576ltr
Option B
Solution:

A = 16 â€¦â€¦â€¦â€¦.11 Â  Â  Â  Â  Â  Â  Â  Â (LCM = 176)
A+B=22 â€¦â€¦â€¦â€¦8
So B = 11-8 = 3
176/3 * 9= 528ltr.
7. A & B can do a work in 35 days and 45 days respectively. They worked for 10 days and after then they complete the work with the help of C in 15 days. If they all get Rs 770. Then find the share of C?
A) 330
B) 270
C) 190
D) 170
E) 250
Option D
Solution:

A = 35â€¦â€¦â€¦â€¦..11 Â  Â  Â  Â  Â (LCM = 385)
B = 45â€¦â€¦â€¦……9
A+B=20
20*10 =200
Remaining 385-200=185
This work is completed in 5days. So 185/5=37
A&B 5days work = 20*5=100
Câ€™s 5days work =85
A………….B………………C
11*15 Â  Â  9*15 Â  Â  Â  Â  Â  Â  Â 85
165 Â  Â  Â  Â  135 Â  Â  Â  Â  Â  Â  Â  85
33 Â  Â  Â  Â  Â  Â 27 Â  Â  Â  Â  Â  Â  Â  Â 17
Câ€™s share = 17/77 Â * 770 = 170
8. 1 man or 2 women or 3 children can do a work in 55 days. Find in how many days 1 man and 1 woman and 1 child can do the work?
A) 30days
B) 24days
C) 25days
D) 28days
E) 32days
Option A
Solution:

1M = 55 Â  1
2W =55 Â  Â 1 Â  Â  Â  Â  Â  Â 55
2C =55 Â  Â  1
We need 1day work of â€¦ 1M +1W+1C= 1+1/2+1/3 =11/6
So â€¦â€¦.. 55/(11/6) = 55/11 * 6=30 DAYS
9. A can a work in 50 days and B is 50% efficient than A. find in how many days A and B together can complete the work?
A) 30
B) 40
C) 50
D) 33(1/3)
E) 16(2/3)
Option D
Solution:

B is 50% efficient than A
. Â  Â  Â  Â  Â  Â  Â  Â  Â  A………..B
Efficiency Â  Â  Â 2……….. 1
Days Â  Â  Â  Â  Â  Â  1…………2
1 == 50 Â . So 2 == 100
A= 50……….2 Â  Â  Â  Â  Â  Â  Â  (LCM = 100)
B =100………1
A+ B = 3
100/3 =33(1/3) days.
10. A and B can do a work in 60days. B and C can do same work in 40 days and C and A can do same work in 50 days. Find in how many days will A,Band C work together will finish the work?
A) 32(16/37)
B) 42(14/37)
C) 33(7/37)
D) 43(9/37)
E) 39(7/37)
Option A
Solution:

A+B = 60…………10
B+C = 40………….15â€¦â€¦â€¦â€¦â€¦.(LCM =.600)
C+A = 50………….12
2(A+B+C) Â  Â  Â  Â  Â  Â 37
A+B+C = 37/2
= 600/37 * 2 = 32(16/37)

## 21 Thoughts to “Quantitative Aptitude: Time and Work Set 7”

…..:)

sir 0-0

heheehehe rom sir…;)

yaa sir…ryt…….:) electrically erasable???

)_O

O_O

rom sir kha?????

3. Ambika

ðŸ™‚
thankyou ???

1. karthik

in the 9th question B 50% than A so we take half of days from A. But here B=100 how?

4. Ambika

thankyou ðŸ™‚

were??

1. Ambika

3rd me typo hai A – 10000 Per hour

mujhe lga second question ki bt ho rhi hehehehhehe…;)))

2. AMAZON

check once

1. Ambika

yess we ll correct that ..ty

2. aspirant

Q7 ki solution samaj me nhi aya

5. pulkit

thank you mam:)

6. AVIâ„¢ (Sinchen loveR)

Some problem in 2nd Question and 3rd Questions also 1000 replace with 10000

7. Sachin Shukla

ty:))