# Quantitative Aptitude: Time and Work Set 23

1. If Priyanka can do 1/3 of the work in 5 days and Queen can do 1/4 of the work in 6 days,then how much money will Queen get if they were paid a total of Rs 390?
140
145
150
155
None of these
Option C
Ratio of work=1/15 : 1/24 = 8:5
Queen gets=(5/13)*390=150

2. A total of Rs 960 is been given to 3 persons X,Y and Z.X and Y can together complete 7/12 and Z and Y together can complete 5/12.So how much amount should be given to X?
340
280
350
300
None of these
Option B
X:Y=7:12
Z:Y=5:12
X:Y:Z=7:12:5
So amount=(7/24)*960=280

3. Three machines X,Y and Z can print 1 lac copies in 5 hrs,15 hrs and 10 hrs respectively.If al the machines start at 10 AM and machine Z is stopped after 2 hours then at what time work will be completed?
3 PM
1 PM
4 PM
12 PM
None of these
Option B
=(1/5)+(1/15)+(1/10)*2 + (1/5+1/15)*p=1
Here p is time remaining to do work
After solving we get ,3 hours

4. Priyanka is 20% more efficient than Queen.How much time will they be working together take to complete a job which Priyanka alone could have done in 20 days?
11 days
12 days
9 days
8 days
None of these
Option A
Priyanka:Queen=100:120
10/12=20/x
x=24
Queen-1/24
Priyanka+Queen=1/20+1/24
=24+20/480=10.90=10 days

5. If Akansha can complete a work in 30 days,Banya can do the same work in 36 days,If after doing 5 days,leaves the work.Find in how many days Banya will do the remaining work?
30 days
32 days
34 days
36 days
None of these
Option A
Akansha=/30
Banya=1/42
6 days work=5*1/30=1/6
Remaing=5/6
Banya=5*36/6=30 days

6. If A,B and C can complete a work in 6 days,If A can work twice faster than B and thrice faster than C,then the number of days C alone can complete the work is how much?
30 days
35 days
40 days
33 days
None of these
Option D

7. Priyal takes 6 days less than Queen to finish the work individually.If Priyal and Queen working together can complete the work in 4 days,then how many days are required by Queen to complete the work alone?
14 days
15 days
12 days
10 days
None of these
Option C

8. Akansha alone can complete a work in 5 days more than Akansha plus Banya together and banya alone can complete a work in 45 days more than Akansha plus Banya together.Then in how many days Akansha and Banya can complete the work?
15 days
10 days
12 days
11 days
None of these
Option A
=Root 5*45 = 15(Shortcut)

9. 2 boys and 3 girls can together can complete a piece of work in 4 days and 3 boys and 2 girls together can complete work in 3 days.In how many days 10 girls will complete this work?
2 days
4 days
5 days
6 days
None of these
Option D
2b+3g=4
3b+2g=3
Therefire,4(2b+3g)=3(3b+2g)
8b+12g=9b+6g
6g=1b
so (15*4)/10=6 days

10. X,Y and Z can complete a work in 10,12 and 15 days respectively.All started the work but Y left the work 3 days before completion.How much work was then done by X and Y together in the total work?
1/5
3/5
2/3
1/2
None of these
Option C